Find the centroid of the region bounded by the gi 1 y = 0, x = 1,x = 3 %3D %3D

Q: Consider the graph of f(x) given below. (a) Analyzing the graph, if g(x) = f(æ), then g(x) is increa...

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Q: Find the derivative of the vector function r(t)=ta×(b+tc), where a=⟨3,−2,−3⟩, b=⟨1,3,−2⟩, and c=⟨−2,...

A: To find the derivative of the vector function, rt=ta×b+tcWhere, a=3, -2, -3, b=1, 3, -2, and, c=-2, ...

Q: Find the horizontal asymptote(s) of the function p(x) f (2) = Va(2) where p (г) — 6а2 — а — 2 and g ...

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Q: 21 - v oX

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Q: solve the second order differential equation ; y''+4y'+5y=8xsinx

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Q: For the following exercises, find the volume generated when the region between the curves is rotated...

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Q: S*(1+v*) -\dv (cot-ly2) 2.

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Q: 2. Let f(x) ax+b cx+d° %3D (a) Show that if ƒ is one-to-one, then ad – bc # 0. (Ъ) Show that if ad –...

A: Given that: f(x)=ax+bcx+d

Q: 14. Consider the function f(x) = xª – 2x?. %3D - a) Find the interval(s) where the function is incre...

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Q: Find the equations of the line through (2,0, –4) and parallel to each of the planes x + y – z = 0 an...

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Q: 1. (2xy-tany)dx + (x² – xsec?y)dy = 0; y(1) = r 2. [4x°cos(xy)-x*ysin(xy)- ye" +3x²]dx -[x°sin(xy)+x...

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Q: 3. Calculate the area of the region R enclosed within the following boundaries: (x² + (y – 1)² < 1 y...

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Q: Use differentials to approximate the change in cost corresponding to an increase in sales (or produc...

A: Solution ) c = 0.075x2 + 6x + 2  with dx = 1  differentiate with respect to x  dc/dx = 0.075 × 2 x +...

Q: Determine whether the following is always true or not always true. Given reasons for your answers. J...

A: let Vector  u=u1,u2,u3  v=v1,v2,v3  w=w1,w2,w3 

Q: Question 2 In the expression /In²sinx -dx, the integrand is tanx Insinx A tanx B -Insin'x + C In sin...

A: Given:- ∫ln2sinxtanxdx To Find:- Integrand from given expression

Q: Solve the following second-order differential equation: y" + 4y/ + 5y = 8x sin x

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Q: Question Evaluate the integral below. dx

A: Given that: ∫x7e3x4dx

Q: Find the limit lim 14,cos(, 18z Note: Give the exact answer but not the decimal approximation (for e...

A: Given:   limx→0+x14 ecosπ18x

Q: what is the derivative of y=e^-1/2x(C1cos3x+C2sin3x) and evaluate if x=0, y'=8

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Q: A glacier in Republica was observed to advance (h)2.5______ inches in a (i)____71_______ minute peri...

A: This is a basic problem of calculus

Q: By using substitution method, evaluate: (a) dx (e3x+x3)3 (In x) dx (b) 4x

A: To evaluate the integral.

Q: 2e*dx where e = 2.7183 %3D

A: Given: I=∫012exdx   As we know from the integral; ∫a·fxdx=a·∫fxdx, where 'a' is the constant. And ∫e...

Q: Compute the resulting error in the function f (x) = x³ for value x = 2.38 with an error Ax = 0.005.

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Q: Find

A: An antiderivative is a function that reverses what the derivative does. One function has many antide...

Q: Estimate the slope f'(3.5) for f(x) = sin(3x) using: %3D a. Forward difference approximation with h ...

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Q: Find the projection of b = 5i – k onto à = i+ 2j+ 3k. %3D

A: We have to find the projection of →b on →a

Q: {k}, {I, m, o}, {n, p}} of the set U = {k, I, m, n, o, p}. Give the

A: Solution is attached below.

Q: Find an equation of the plane perpendicular to the line through (2, 2, –4) and (7, –1,3) and contain...

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Q: Find the component form of v given its magnitud and the angle ir makes with the positive x-axis. Mag...

A: Given that: Magnitude of v, ||v||=43 and angle, ∅=90°.

Q: Find the exact length of the curve. y = 3 2x3/2, 0 < x < 6

A: We have to find length of curve

Q: 1. function f(r, y) = 4(x² + y²)e *. Find the local maximum and minimum values and saddle point(s) o...

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Q: nsider the graph of J belov y = f(x) (a) Analyzing the graph, if g(x) = f(x), then is decreasing for...

A: Given query is to find the indicated interval.

Q: Question Evaluate the following limit using L'Hospital's rule. lim 3 In (x) 15х — 15 Provide an exac...

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Q: Find the derivative of the vector function r(t)=ln⁡(7−t^2)i+sqrt(8+t)j−5e^(2t)k r′(t)=⟨  ,  ,  ⟩

A: The given vector function is r(t)=ln(7-t^2)i+8+tj-5e2tk We have to find the derivative of the vector...

Q: de (x-3)Vx2-6x+5 arcsec + C; and 0.0008 none of the choices arcsec + C; and 0.0174 arcsec + C; and o...

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Q: 5. Consider the graph of f (x) shown. Does the lim f (x) exist? Is the function continuous at x=3? E...

A: This question is related to limit and continuity,  we will solve it using given information. 

Q: find the vector equation of a plane that contains the intersection line of x + y + z = 1 and x – y +...

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Q: 69x420

A: Given query is to perform indicated multiplication operation.

Q: 3sin4t di 5(1– 3cos21)

A: To solve the integration. 

Q: How do you find the assign units for constant of proportionality? For example the allometric relatio...

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Q: What is the magnitude and direction of the resultant? 10 4. 10 diagram 4

A: Given that:                        

Q: 10 -10 At what values of x does ƒ (x) has an infinite limit (as x approaches this value)? Write down...

A: Given: To find at what value of x does f(x) has an infinite limit.

Q: h" (t) = sec? t – Vt, h(0) = -3, and h'(0) = 3. %3D

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Q: (14) dx + xydy

A: Given

Q: (1-))csc²( 1– y)dy

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute  ............

Q: Which of the following is not in the domain of tan(x)? Select all correct answers.

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Q: (5y+3) 13y+6y+7 O A none of the choices yy + -ten .cmd -ae

A: First rewrite the integral then apply linearity and the solve one by one and get the final answer by...

Q: Findthe volume of the solid obtained by rotating the region bounded by the given curves. y=radicalx ...

A: Given Equation y=√x ,x=4 and y=0 

Q: approximate the value of 1 dx with 6 subintervals by x2 +1 using: a) the Trapezoid Rule b) Simpson's...

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Q: mber of these fish reached 90 thousand in the year whole number.)

A: Given: The number of a particular fish in thousand x years after 1974 can be modeled by f(x) = 223(0...