Calculus: Early Transcendentals, Enhanced Etext
12th Edition
ISBN: 9781119777984
Author: Howard Anton; Irl C. Bivens; Stephen Davis
Publisher: Wiley Global Education US
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Textbook Question
Chapter 14.3, Problem 34ES
Evaluate the iterated
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8–23. Sketching vector fields Sketch the following vector fields
25-30. Normal and tangential components For the vector field F and
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a. Determine the points (if any) along the curve C at which the vector
field F is tangent to C.
b. Determine the points (if any) along the curve C at which the vector
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c. Sketch C and a few representative vectors of F on C.
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28. F = (y, x); C = {(x, y): x² + y² = 1}
29. F = (x, y); C =
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Chapter 14 Solutions
Calculus: Early Transcendentals, Enhanced Etext
Ch. 14.1 - Prob. 1QCECh. 14.1 - The iterated integral 1524fx,ydxdy integrates f...Ch. 14.1 - Supply the missing integrand and limits of...Ch. 14.1 - Prob. 4QCECh. 14.1 - Evaluate the iterated integrals. 0102x+3dydxCh. 14.1 - Evaluate the iterated integrals. 13112x4ydydxCh. 14.1 - Evaluate the iterated integrals. 2401x2ydxdyCh. 14.1 - Evaluate the iterated integrals. 2012x2+y2dxdyCh. 14.1 - Evaluate the iterated integrals. 0ln30ln2ex+ydydxCh. 14.1 - Prob. 6ES
Ch. 14.1 - Evaluate the iterated integrals. 1025dxdyCh. 14.1 - Evaluate the iterated integrals. 4637dydxCh. 14.1 - Evaluate the iterated integrals. 0101xxy+12dydxCh. 14.1 - Prob. 10ESCh. 14.1 - Prob. 11ESCh. 14.1 - Prob. 12ESCh. 14.1 - Evaluate the double integral over the rectangular...Ch. 14.1 - Prob. 14ESCh. 14.1 - Evaluate the double integral over the rectangular...Ch. 14.1 - Evaluate the double integral over the rectangular...Ch. 14.1 - Each iterated integral represents the volume of a...Ch. 14.1 - Each iterated integral represents the volume of a...Ch. 14.1 - Each iterated integral represents the volume of a...Ch. 14.1 - Each iterated integral represents the volume of a...Ch. 14.1 - Determine whether the statement is true or false....Ch. 14.1 - Determine whether the statement is true or false....Ch. 14.1 - Determine whether the statement is true or false....Ch. 14.1 - Determine whether the statement is true or false....Ch. 14.1 - In this exercise, suppose that fx,y=gxhy and...Ch. 14.1 - Prob. 28ESCh. 14.1 - Use a double integral to find the volume. The...Ch. 14.1 - Prob. 30ESCh. 14.1 - Use a double integral to find the volume. The...Ch. 14.1 - Prob. 32ESCh. 14.1 - Evaluate the integral by choosing a convenient...Ch. 14.1 - (a) Sketch the solid in the first octant that is...Ch. 14.1 - The average value or mean value of a continuous...Ch. 14.1 - The average value or mean value of a continuous...Ch. 14.1 - The average value or mean value of a continuous...Ch. 14.1 - Prob. 38ESCh. 14.1 - The average value or mean value of a continuous...Ch. 14.1 - The average value or mean value of a continuous...Ch. 14.1 - Use a CAS to evaluate the iterated integrals...Ch. 14.1 - Use a CAS to show that the volume V under the...Ch. 14.1 - Discuss how computing a volume using an iterated...Ch. 14.1 - Discuss how the double integral property given in...Ch. 14.2 - Supply the missing integrand and limits of...Ch. 14.2 - Let R be the triangular region in the xyplane with...Ch. 14.2 - Let R be the triangular region in xy-plane with...Ch. 14.2 - The line and the parabola intersect at the...Ch. 14.2 - Evaluate the iterated integral. 01x2xxy2dydxCh. 14.2 - Evaluate the iterated integral. 13/2y3yydxdyCh. 14.2 - Evaluate the iterated integral. 0309y2ydxdyCh. 14.2 - Evaluate the iterated integral. 1/41x2xxydydxCh. 14.2 - Prob. 5ESCh. 14.2 - Prob. 6ESCh. 14.2 - Prob. 7ESCh. 14.2 - Prob. 8ESCh. 14.2 - Let R be the region shown in the accompanying...Ch. 14.2 - Let R be the region shown in the accompanying...Ch. 14.2 - Let R be the region shown in the accompanying...Ch. 14.2 - Let R be the region shown in the accompanying...Ch. 14.2 - Prob. 13ESCh. 14.2 - Evaluate the double integral in two ways using...Ch. 14.2 - Evaluate the double integral in two ways using...Ch. 14.2 - Evaluate the double integral. Rx(1+y2)1/2dA; R is...Ch. 14.2 - Evaluate the double integral. RxcosydA;R is the...Ch. 14.2 - Evaluate the double integral. RxydA;R is the...Ch. 14.2 - Prob. 22ESCh. 14.2 - Evaluate the double integral. R(x1)dA;R is the...Ch. 14.2 - Prob. 24ESCh. 14.2 - Evaluate where R is the region bounded by
Ch. 14.2 - Prob. 26ESCh. 14.2 - (a) By hand or with the help of a graphing...Ch. 14.2 - (a) By hand or with the help of a graphing...Ch. 14.2 - Use double integration to find the area of the...Ch. 14.2 - Prob. 30ESCh. 14.2 - Use double integration to find the area of the...Ch. 14.2 - Prob. 32ESCh. 14.2 - Determine whether the statement is true or false....Ch. 14.2 - Determine the statement is true or false. Explain...Ch. 14.2 - Determine whether the statement is true or false....Ch. 14.2 - Use double integration to find the volume of the...Ch. 14.2 - Use double integration to find the volume of the...Ch. 14.2 - Use double integration to find the volume of each...Ch. 14.2 - Use double integration to find the volume of each...Ch. 14.2 - Use double integration to find the volume of each...Ch. 14.2 - Prob. 42ESCh. 14.2 - Use double integration to find the volume of each...Ch. 14.2 - Prob. 44ESCh. 14.2 - Use a double integral and a CAS to find the volume...Ch. 14.2 - Use a double integral and a CAS to find the volume...Ch. 14.2 - Express the integral as an equivalent integral...Ch. 14.2 - Express the integral as an equivalent integral...Ch. 14.2 - Express the integral as an equivalent integral...Ch. 14.2 - Express the integral as an equivalent integral...Ch. 14.2 - Express the integral as an equivalent integral...Ch. 14.2 - Express the integral as an equivalent integral...Ch. 14.2 - Evaluate the integral by first reversing the order...Ch. 14.2 - Evaluate the integral by first reversing the order...Ch. 14.2 - Evaluate the integral by first reversing the order...Ch. 14.2 - Evaluate the integral by first reversing the order...Ch. 14.2 - Try to evaluate the integral with a CAS using the...Ch. 14.2 - Use the appropriate Wallis formula (see Exercise...Ch. 14.2 - Evaluate Rxy2dA over the region R shown in the...Ch. 14.2 - Give a geometric argument to show that...Ch. 14.2 - The average value or mean value of a continuous...Ch. 14.2 - The average value or mean value of a continuous...Ch. 14.2 - Use a CAS to approximate the intersections of the...Ch. 14.3 - The polar region inside the circle and outside...Ch. 14.3 - Let R be the region in the first quadrant enclosed...Ch. 14.3 - Let V be the volume of the solid bounded above by...Ch. 14.3 - Express the iterated integral as a double integral...Ch. 14.3 - Evaluate the iterated integral. 0/20sinrcosdrdCh. 14.3 - Prob. 2ESCh. 14.3 - Evaluate the iterated integral. 0/20asinr2drdCh. 14.3 - Prob. 4ESCh. 14.3 - Evaluate the iterated integral. 001sinr2cosdrdCh. 14.3 - Prob. 6ESCh. 14.3 - Use a double integral in polar coordinates to find...Ch. 14.3 - Use a double integral in polar coordinates to find...Ch. 14.3 - Use a double integral in polar coordinates to find...Ch. 14.3 - Let R be the region described. Sketch the region R...Ch. 14.3 - Express the volume of the solid described as a...Ch. 14.3 - Express the volume of the solid described as a...Ch. 14.3 - Express the volume of the solid described as a...Ch. 14.3 - Express the volume of the solid described as a...Ch. 14.3 - Find the volume of the solid described in the...Ch. 14.3 - Find the volume of the solid described in the...Ch. 14.3 - Find the volume of the solid described in the...Ch. 14.3 - Find the volume of the solid described in the...Ch. 14.3 - Find the volume of the solid in the first octant...Ch. 14.3 - Use polar coordinates to evaluate the double...Ch. 14.3 - Use polar coordinates to evaluate the double...Ch. 14.3 - Evaluate the iterated integral by converting to...Ch. 14.3 - Evaluate the iterated integral by converting to...Ch. 14.3 - Evaluate the iterated integral by converting to...Ch. 14.3 - Evaluate the iterated integral by converting to...Ch. 14.3 - Evaluate the iterated integral by converting to...Ch. 14.3 - Evaluate the iterated integral by converting to...Ch. 14.3 - Determine whether the statement is true or false....Ch. 14.3 - Determine whether the statement is true or false....Ch. 14.3 - If R is the region in the first quadrant between...Ch. 14.3 - The area enclosed by the circle is given by
Ch. 14.3 - Evaluate Rx2dA over the region R shown in the...Ch. 14.3 - Show that the shaded area in the accompanying...Ch. 14.3 - (a) Use a double integral in polar coordinated to...Ch. 14.3 - Use polar coordinates to find the volume of the...Ch. 14.3 - Find the area of the region enclosed by the...Ch. 14.3 - Find the area in the first quadrant that is inside...Ch. 14.3 - Discuss how computing a volume of revolution using...Ch. 14.4 - The surface area of a surface of the form z=fx,y...Ch. 14.4 - Consider the surface represented parametrically by...Ch. 14.4 - If ru,v=1ui+1ucosvj+1usinvk then ru=andrv=Ch. 14.4 - If ru,v=1ui+1ucosvj+1usinvk the principal unit...Ch. 14.4 - Suppose is a parametric surface with vector...Ch. 14.4 - Express the area of the given surface as an...Ch. 14.4 - Express the area of the given surface as an...Ch. 14.4 - Express the area of the given surface as an...Ch. 14.4 - Express the area of the given surface as an...Ch. 14.4 - Express the area of the given surface as an...Ch. 14.4 - Sketch the parametric surface....Ch. 14.4 - Find parametric equations for the surface...Ch. 14.4 - Find parametric equations for the surface...Ch. 14.4 - Find a parametric representation of the surface in...Ch. 14.4 - Find a parametric representation of the surface in...Ch. 14.4 - Find a parametric representation of the cone...Ch. 14.4 - Eliminate the parameters to obtain an equation in...Ch. 14.4 - Eliminate the parameters to obtain an equation in...Ch. 14.4 - The accompanying figure shows the graphs of two...Ch. 14.4 - The accompanying figure shows the graphs of two...Ch. 14.4 - In each part, the figure shows a portion of the...Ch. 14.4 - In each part, the figure shows a portion of the...Ch. 14.4 - In each part, the figure shows a hemisphere that...Ch. 14.4 - In each part, the figure shows a portion of the...Ch. 14.4 - Find an equation of the tangent plane to the...Ch. 14.4 - Find an equation of the tangent plane to the...Ch. 14.4 - Find an equation of the tangent plane to the...Ch. 14.4 - Find the area of the given surface. The portion of...Ch. 14.4 - Find the area of the given surface. The portion of...Ch. 14.4 - Determine whether the statement is true or false....Ch. 14.4 - Determine whether the statement is true or false....Ch. 14.4 - Determine whether the statement is true or false....Ch. 14.4 - Determine whether the statement is true or false....Ch. 14.4 - Use parametric equations to derive the formula for...Ch. 14.4 - Use parametric equations to derive the formula for...Ch. 14.4 - The portion of the surface z=hax2+y2a,h0 between...Ch. 14.4 - The accompanying figure shows the torus that is...Ch. 14.4 - Prob. 55ESCh. 14.4 - Use a CAS to graph the helicoid...Ch. 14.4 - Use a CAS to graph the pseudosphere...Ch. 14.4 - (a) Find parametric equations for the surface of...Ch. 14.4 - The parametric equations in these exercises...Ch. 14.4 - The parametric equations in these exercises...Ch. 14.4 - The parametric equations in these exercises...Ch. 14.5 - The iterated integral 152436fx,y,zdxdzdy...Ch. 14.5 - Let G be the solid in the first octant bounded...Ch. 14.5 - The volume of the solid G in Quick Check Exercise...Ch. 14.5 - Evaluate the iterated integral....Ch. 14.5 - Evaluate the iterated integral....Ch. 14.5 - Evaluate the iterated integral. 021y21zyzdxdzdyCh. 14.5 - Evaluate the iterated integral. 0309z20xxydydxdzCh. 14.5 - Evaluate the iterated integral....Ch. 14.5 - Evaluate the triple integral. GxysinyzdV, where G...Ch. 14.5 - Evaluate the triple integral. GxyzdV, where G is...Ch. 14.5 - Evaluate the triple integral. Gcosz/ydV, where G...Ch. 14.5 - Use the numerical triple integral operation of a...Ch. 14.5 - Use the numerical triple integral operation of a...Ch. 14.5 - Use a triple integral to find the volume of the...Ch. 14.5 - Use a triple integral to find the volume of the...Ch. 14.5 - Use a triple integral to find the volume of the...Ch. 14.5 - Let G be the solid enclosed by the surfaces in the...Ch. 14.5 - Let G be the solid enclosed by the surfaces in the...Ch. 14.5 - Set up (but do not evaluate) an iterated triple...Ch. 14.5 - Set up (but do not evaluate) an iterated triple...Ch. 14.5 - Set up (but do not evaluate) an iterated triple...Ch. 14.5 - Set up (but do not evaluate) an iterated triple...Ch. 14.5 - In each part, sketch the solid whose volume is...Ch. 14.5 - In each part, sketch the solid whose volume is...Ch. 14.5 - Determine whether the statement is true or false....Ch. 14.5 - Determine whether the statement is true or false....Ch. 14.5 - Prob. 31ESCh. 14.5 - Use the result of Exercise 31 to evaluate (a)...Ch. 14.5 - The average value or mean value of a continuous...Ch. 14.5 - The average value or mean value of a continuous...Ch. 14.5 - The average value or mean value of a continuous...Ch. 14.5 - The average value or mean value of a continuous...Ch. 14.5 - Let G be the tetrahedron in the first octant...Ch. 14.5 - Use a triple integral to derive the formula for...Ch. 14.5 - Express each integral as an equivalent integral in...Ch. 14.5 - Express each integral as an equivalent integral in...Ch. 14.6 - (a) The cylindrical wedge 1r3,/6/2,0z5hasvolumeV=....Ch. 14.6 - Let G be the solid region inside the sphere of...Ch. 14.6 - Let G be the solid region describes in Quick Check...Ch. 14.6 - Evaluate the iterated integral. 020101r2zrdzdrdCh. 14.6 - Evaluate the iterated integral. 0/20/2013sincosdddCh. 14.6 - Sketch the region G and identify the function f so...Ch. 14.6 - Sketch the region G and identify the function f so...Ch. 14.6 - Sketch the region G and identify the function f so...Ch. 14.6 - Sketch the region G and identify the function f so...Ch. 14.6 - Use cylindrical coordinates to find the volume of...Ch. 14.6 - Use cylindrical coordinates to find the volume of...Ch. 14.6 - Use cylindrical coordinates to find the volume of...Ch. 14.6 - Use spherical coordinates to find the volume of...Ch. 14.6 - Use spherical coordinates to find the volume of...Ch. 14.6 - Use cylindrical or spherical coordinates to...Ch. 14.6 - Use cylindrical or spherical coordinates to...Ch. 14.6 - Determine whether the statement is true or false....Ch. 14.6 - Determine whether the statement is true or false....Ch. 14.6 - Determine whether the statement is true or false....Ch. 14.6 - (a) Use a CAS to evaluate 2214/6/3rtan31+z2ddrdz...Ch. 14.6 - Use a CAS to evaluate 0/20/40cos17coscos19dddCh. 14.6 - Find the volume enclosed by x2+y2+z2=a2 using (a)...Ch. 14.6 - Let G be the solid in the first octant bounded by...Ch. 14.6 - Find the volume of the solid in the solid in the...Ch. 14.6 - In this exercise we will obtain a formula for the...Ch. 14.6 - Suppose that a triple integral is expressed in...Ch. 14.7 - Let T be the transformation from the u-plane to...Ch. 14.7 - State the relationship between R and S in the...Ch. 14.7 - The Jacobian of the transformation x=u,y=w,z=2w is...Ch. 14.7 - Find the Jacobian x,y/u,. x=u+4,y=3u5Ch. 14.7 - Find the Jacobian x,y/u,. x=u+22,y=2u2Ch. 14.7 - Prob. 3ESCh. 14.7 - Find the Jacobian x,y/u,. x=2uu2+2,y=2u2+2Ch. 14.7 - Solve for x and y in terms of uand, and then find...Ch. 14.7 - Find the Jacobian x,y,z/u,,w. x=3u+,y=u2w,z=+wCh. 14.7 - Find the Jacobian x,y,z/u,,w. x=uu,y=uuw,z=uwCh. 14.7 - Determine whether the statement is true or false....Ch. 14.7 - Sketch the image in the xy-plane of the set S...Ch. 14.7 - Sketch the image in the xy-plane of the set S...Ch. 14.7 - Sketch the image in the xy-plane of the set S...Ch. 14.7 - Use the transformation u=x2y,=2x+y to find...Ch. 14.7 - Use the transformation u=x+y,=xy to find...Ch. 14.7 - Prob. 23ESCh. 14.7 - The transformation x=au,y=ba0,b0 can be rewritten...Ch. 14.7 - The transformation x=au,y=ba0,b0 can be rewritten...Ch. 14.7 - Show that the area of the ellipse x2a2+y2b2=1 is...Ch. 14.7 - If a, b, and c are positive constants, then the...Ch. 14.7 - Find a transformation u=fx,y,=gx,y that when...Ch. 14.7 - Find a transformation u=fx,y,=gx,y that when...Ch. 14.7 - Find a transformation u=fx,y,=gx,y that when...Ch. 14.7 - Find a transformation u=fx,y,=gx,y that when...Ch. 14.7 - Evaluate the integral by making an appropriate...Ch. 14.7 - Evaluate the integral by making an appropriate...Ch. 14.7 - Evaluate the integral by making an appropriate...Ch. 14.7 - Use an appropriate change of variables to find the...Ch. 14.7 - Use an appropriate change of variables to find the...Ch. 14.7 - Use the transformation u=x,=zy,w=xy to find...Ch. 14.7 - Use the transformation u=xy,=yz,w=xz to find the...Ch. 14.7 - (a) Verify that...Ch. 14.7 - The formula obtained in part (b) of Exercise 43 is...Ch. 14.7 - The formula obtained in part (b) of Exercise 43 is...Ch. 14.7 - The formula obtained in part (b) of Exercise 43 is...Ch. 14.7 - The three-variable analog of the formula derived...Ch. 14.7 - (a) Consider the transformation x=rcos,y=rsin,z=z...Ch. 14.8 - The total mass of a lamina with continuous density...Ch. 14.8 - Consider a lamina with mass M and continuous...Ch. 14.8 - Let R be the region between the graphs of...Ch. 14.8 - Find the mass and center of gravity of the lamina....Ch. 14.8 - Find the mass and center of gravity of the lamina....Ch. 14.8 - Find the mass and center of gravity of the lamina....Ch. 14.8 - For the given density function, make a conjecture...Ch. 14.8 - Make a conjecture about the coordinates of the...Ch. 14.8 - Make a conjecture about the coordinates of the...Ch. 14.8 - Show that in polar coordinates the formulas for...Ch. 14.8 - Use the result of Exercise 13 to find the centroid...Ch. 14.8 - Use the result of Exercise 13 to find the centroid...Ch. 14.8 - Find the centroid of the solid. The tetrahedron in...Ch. 14.8 - Find the centroid of the solid. The solid bounded...Ch. 14.8 - Find the centroid of the solid. The solid in the...Ch. 14.8 - Find the centroid of the solid. The solid enclosed...Ch. 14.8 - Find the mass and center of gravity of the solid....Ch. 14.8 - Find the mass and center of gravity of the solid....Ch. 14.8 - Find the mass and center of gravity of the solid....Ch. 14.8 - Find the center of gravity of the square lamina...Ch. 14.8 - Find the center of gravity of the cube that is...Ch. 14.8 - Use the numerical triple integral capability of a...Ch. 14.8 - The accompanying figure on the next page shows the...Ch. 14.8 - Use cylindrical coordinates. Find the mass of the...Ch. 14.8 - Use cylindrical coordinates. Find the mass of a...Ch. 14.8 - Use spherical coordinates. Find the mass of a...Ch. 14.8 - Use cylindrical coordinates to find the centroid...Ch. 14.8 - Use cylindrical coordinates to find the centroid...Ch. 14.8 - Use the Wallis sine and cosine formulas:...Ch. 14.8 - Use the Wallis sine and cosine formulas:...Ch. 14.8 - Use spherical coordinates to find the centroid of...Ch. 14.8 - Use spherical coordinates to find the centroid of...Ch. 14.8 - Find the mass of the solid that is enclosed by the...Ch. 14.8 - Find the center of gravity of the solid bounded by...Ch. 14.8 - Find the center of gravity of the solid that is...Ch. 14.8 - Find the center of gravity of the solid hemisphere...Ch. 14.8 - Find the centroid of the solid that is enclosed by...Ch. 14.8 - Suppose that the density at a point in a gaseous...Ch. 14.8 - The tendency of a lamina to resist a change in...Ch. 14.8 - The tendency of a lamina to resist a change in...Ch. 14.8 - The tendency of a solid to resist a change...Ch. 14.8 - The tendency of a solid to resist a change...Ch. 14.8 - The tendency of a solid to resist a change...Ch. 14.8 - The tendency of a solid to resist a change...Ch. 14.8 - These exercises reference the Theorem of Pappus:...Ch. 14.8 - These exercises reference the Theorem of Pappus:...Ch. 14.8 - These exercises reference the Theorem of Pappus:...Ch. 14.8 - These exercises reference the Theorem of Pappus:...Ch. 14.8 - These exercises reference the Theorem of Pappus:...Ch. 14.8 - It can be proved that if a bounded plane region...Ch. 14 - The double integral over a region R in the...Ch. 14 - The triple integral over a solid G in an...Ch. 14 - (a) Express the area of a region R in the xy-plane...Ch. 14 - (a) Write down parametric equations for a sphere...Ch. 14 - Let R be the region in the accompanying figure....Ch. 14 - (a) Find constants a, b, c, and d such that the...Ch. 14 - Give a geometric argument to show that...Ch. 14 - Evaluate the iterated integral. 02y2yxey3dxdyCh. 14 - Express the iterated integral as an equivalent...Ch. 14 - Sketch the region whose area is represented by the...Ch. 14 - Sketch the region whose area is represented by the...Ch. 14 - Evaluate the double integral. Rx2siny2dA;R is the...Ch. 14 - Convert to rectangular coordinates and evaluate:...Ch. 14 - Find the area of the region using a double...Ch. 14 - Prob. 21RECh. 14 - Convert to spherical coordinates and evaluate:...Ch. 14 - Let G be the region bounded above by the sphere =a...Ch. 14 - Let G=x,y,z:x2+y2z4x. Express the volume of G as...Ch. 14 - Find the volume of the solid using a triple...Ch. 14 - Find the volume of the solid using a triple...Ch. 14 - Find the surface area of the portion of the...Ch. 14 - Find the equation of the tangent plane to the...Ch. 14 - Suppose that you have a double integral over a...Ch. 14 - Use the transformation u=x3y,v=3x+y to find...Ch. 14 - Let G be the solid in 3-space defined by the...Ch. 14 - Find the average distance from a point inside a...Ch. 14 - Find the centroid of the region. The region...Ch. 14 - Find the centroid of the region. The upper half of...Ch. 14 - Find the centroid of the solid. The solid cone...Ch. 14 - Find the centroid of the solid. The solid bounded...
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- ٣/١ B msl kd 180 Ka, Sin (1) I sin () sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 G 5005 1000 s = 1000-950 Copper bosses 5kW Rotor input 5 0.05 : loo kw 6) 1 /0001 ined sove in peaper I need a detailed solution on paper please وه اذا ميريد شرح الكتب فقط ١٥٠ DC 7) rotor a ' (y+xlny + xe*)dx + (xsiny + xlnx + dy = 0. Q1// Find the solution of: ( 357arrow_forward۳/۱ R₂ = X2 2) slots per pole per phase 3/31 B. 180 msl Kas Sin (I) 1sin() sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30): 0.866 4) Rotating 5) Synchronous speeds 120×50 looo G 1000-950 1000 Copper losses 5kw Rotor input 5 loo kw 0.05 6) 1 اذا ميريد شرح الكتب فقط look 7) rotor DC ined sove in peaper I need a detailed solution on paper please 0 64 Find the general solution of the following equations: QI//y(4)-16y= 0. Find the general solution of the following equations: Q2ll yll-4y/ +13y=esinx.arrow_forwardR₂ = X2 2) slots per pole per phase = 3/31 B-180 60 msl kd Kas Sin () 2 I sin (6) sin(30) Sin (30) اذا مريد شرح الكتب بس 0 بالفراغ 3 Cos (30) 0.866 4) Rotating ined sove in peaper 5) Synchronous speed s 120×50 6 s = 1000-950 1000 Copper losses 5kw Rotor input 5 0.05 6) 1 loo kw اذا ميريد شرح الكتب فقط Look 7) rotov DC I need a detailed solution on paper please 0 64 Solve the following equations: 0 Q1// Find the solution of: ( y • with y(0) = 1. dx x²+y²arrow_forward
- R₂ = X2 2) slots per pole per phase = 3/3 1 B-180-60 msl Ka Sin (1) Isin () sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 s = 1000-950 1000 Copper losses 5kw Rotor input 5 6) 1 0.05 G 50105 loo kw اذا ميريد شرح الكتب فقط look 7) rotov DC ined sove in peaper I need a detailed solution on paper please 064 2- A hot ball (D=15 cm ) is cooled by forced air T.-30°C, the rate of heat transfer from the ball is 460.86 W. Take for the air -0.025 Wim °C and Nu=144.89, find the ball surface temperature a) 300 °C 16 b) 327 °C c) 376 °C d) None か = 750 01arrow_forwardDon't do 14. Please solve 19arrow_forwardPlease solve 14 and 15arrow_forward
- 1. Consider the following system of equations: x13x2 + 4x3 - 5x4 = 7 -2x13x2 + x3 - 6x4 = 7 x16x213x3 - 21x4 = 28 a) Solve the system. Write your solution in parametric and vector form. b) What is a geometric description of the solution. 7 c) Is v = 7 in the span of the set S= [28. 1 HE 3 -5 3 ·6 ? If it is, write v 6 as a linear combination of the vectors in S. Justify. d) How many solutions are there to the associated homogeneous system for the system above? Justify. e) Let A be the coefficient matrix from the system above. Find the set of all solutions to Ax = 0. f) Is there a solution to Ax=b for all b in R³? Justify.arrow_forward4. Suppose that A is made up of 5 column vectors in R³, and suppose that the rank(A)=3. a. How many solutions are there to Ax=0? Justify. b. What is a geometric description for the nullspace(A)? Justify. c. Do the column vectors of A span R³? Justify. d. Is A invertible? Justify.arrow_forward3. Suppose that A is 5 x 5 and rank(A)=4. Use this information to answer the following. a. Give a geometric description of nullspace(A). Justify. b. Is A invertible? Justify. c. Give a geometric description of the span of the column vectors of A. What space are the column vectors of A in? Justify. d. What is determinant of A? Justify.arrow_forward
- 2. Consider the matrix: A || 1 1 -3 14 2 1 01 4 1 2 2 -26 1 -3 1 5] a) What is rank(A)? b) Is A invertible? Justify. c) Find the nullspace(A). Justify. d) Is the trivial solution the only solution to Ax=0? Justify. e) What is the span of the column vectors of A? Justify.arrow_forwardE 5. Suppose that S={v € R²: v = [2x² - 3]}. Is S a subspace of R²? Prove or disprovearrow_forward6. Suppose that V1, V2 ER", show that span{v1, v2} is a subspace of Rn.arrow_forward
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