1. If find the value of a. L²Lke + (x + 2y)dydr = 10, a

Q: -1 33x 0 43x dx

A:

Q: 2 Consider the vector-valued function R(t) with Ả'(t) = (sec²(t – 1), √t' (a) Find R(t) given Ả(1) =…

A:

Q: The volume generated when the region bounded by y = x, y = 1, x = 0 is rotated about x axis is -

A:

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: Product Rule of differentiation : d(u.v)dx = udvdx+dudxv. dxndx=n.xn-1

Q: Given cos(8): = B 5 and the terminal side of 8 lies on the fourth quadrant. What is the value of sin…

A:

Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

A: Using shell method, given format is obtained.

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A:

Q: answer

A:

Q: Evaluate d³yd¹y + dx5 dx4 - 6 d³ y dx³ = 0 =

A:

Q: Find the partial derivative of fy for the function * 3 f (x, y) = (3x² + y²) ³ 3x² (3x² + y²)²…

A:

Q: The power series representation of f(x) = ln(x2-1) is given by Α. 24-1-1x", -1x<1 n=1 n+1 B. None of…

A: To find the power series representation of the given function.

Q: Find and classify all critical points of the function 3 f(x, y) = x³ + 2y - In(x³y³) Item 5.pdf

A:

Q: ate S = Evaluate dx x1/2+x2/31 using rationalizing substitution.

A: solution:-∫1x1/2+x2/3dxput x=y6differentiate both sidesdx=6y5dy

Q: Evaluate Limx→13 x²-1 O a. infinity 5 O b. 2 O C. 0 O d. none of these O e. 2²/33 25

A:

Q: Consider the spherical equation given by p sponding equation in Cartesian coordinates. 4 cos sin o.…

A:

Q: Consider a point in Cartesian coordinates given by (3√3, -3, -8). Find a corresponding spherical…

A: Solve the following

Q: fx ln x dx.

A:

Q: Evaluate the integral : S - (9x²+7x) (x−1)(x+1)² dx ← +C

A:

Q: Find the force on one end of a parabolic trough full of water if the depth is 2 feet and the width…

A:

Q: Evaluate the following double integral over the given region R. [[ 2 ln(x + 1) (x + 1)y Use…

A:

Q: The cylindrical shell method is to be used to compute the volume of the solid generated by revolving…

A: Here, the region bounded by the curves y=2x-x2, y=0 is rotated about the line x=3 as shown in the…

Q: √x²-1 The value of the definite integral / dx is in the form F(b) - F(a), where a and b are the…

A:

Q: The directional derivative of f(x,y,z) = In 1+yz from P to Q(-1,-1,2) is given by .... .(Correct to…

A: Given :f(x,y,z)=lnx21+yz-3xz2

Q: A man drives 60 km North, then 45 km West. Finally, he drives 94 km South. How far away is he from…

A: The objective of the question is determine the distance and direction of starting and end point.

Q: Determine the intervals on which the function is concave up or down and find the value at which the…

A:

Q: Choose among the following suitable to define the given integrations: * f(x + 1) sinx dx Not…

A:

Q: The figure is the graph of the derivative, ƒ', of a function f on [-3,3]. ครั้งที่ Determine the…

A:

Q: Write the parametric equations in the given Cartesian form. X = x = 2t - t³, y = 9 - 2t

A: To convert the parametric equation to Cartesian equation.

Q: Find two numbers whose sum is a, if the product of the square of one by the cube of the other is to…

A:

Q: integrate * S(4√r – V√r² – 6√r³) dr 8 ·12 3 r³ – 2/4 r ² + C 5 35 r-ri-24r + C ² 35 24 3²-5r³+²+ C…

A:

Q: Evaluate the integral of the following: y4+2y²-1 dy;y #0 a. √y b. J(-4t + 12) (5t + 15)dt 4+e²z-ez…

A: In this question, we need to evaluate the given integrals. Note : According to bartleby guidelines,…

Q: Find the derivative of the following using the differentiation rules. f(x) = [x+²(x² - 2x-² + 3)…

A:

Q: Q2: A company plans to update its equipment so that its trucks are replaced after ten years from…

A: To find out the amount that company needs to pay each year.

Q: If web₁x-b₂y-b3z, w= where b₁,b2, b3 are constants and b² + b² + b = 1. Show that 8² w 8² w 8² w əx²…

A:

Q: What are the amplitude and period of function? y = 1/cos x

A:

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

A:

Q: The integral can be rewritten as 6u³ (a). [√ 小 1+1 6u4 (c). Su u² + 1 - du du dx √x + √x S 6u² u² +…

A: Given:       ∫dxx3+x     Prepare for substitution:        =∫16x56·6xx6+1dx  substitute…

Q: 3. Let R(t) = (t²,1 — t², t) and r(t) = cost. Determine the parametric equations of the line tangent…

A: Given

Q: 3. Stan tan³ 3x sec ¹ 3x dx

A: As per our company guidelines, we are supposed to answer only one question. Kindly post other…

Q: The function f(x) = −2x³ + 3x² + 36x has two critical points, c₁ and c₂. Find them and use the…

A:

Q: Find the sum of the geometric series below: 5 5 5 + + 5+ + 3 9 2187 49200 A 6561 5465

A: Topic:- sequence and series

Q: 8 S[+ +6e² dx = +C

A:

Q: Find the solution of the following initial value problem d2y/dx2 + 2 dy/dx − 3y = 12ex ,  y = 0 and…

A:

Q: 3x [10 points] Consider the initial value problem √2y+2+³ª, where y(2)=1. Use the dy dx modified…

A: Given

Q: (D^5-3D^4+8D^3+16D^2-9D-13)y=0 nonhomogeneous undetermined coefficients

A:

Q: a point of intersection on the unit circle whose x coordinate (3/3₁-3) (-/-/-/-) 5'5 2√6)

A: Given query is to find the intersection point.

Q: Vector E is 102 units up and Vector F is 94 units right. Vector R is equal to Vector E + Vector F.…

A:

Q: day dx5 + day dx4 - 6 d³ y = 0 dx³

A:

Q: Find the derivative of the following using the differentiation rules. x3 +6√x-7x+3 f(x) =

A: In this question, we need to find the derivative of the given function.

Q: The cylindrical shell method is to be used to compute for the volume of the solid generated by…

A: