10 Consider the function f(x) Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(z)

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 sts 1. + dy

A: Line integral

Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r?h. %3D (a) Find…

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Q: x 4 Determine the constants a and b so that f is continuous on R.

A: This question can be solved using the concept of continuity of a function at a given point.

Q: Find fr(x, y) and f,(x, y) given f(r, y) = tan r - cos(r² – y³).

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Q: dy 5. -2ty + 4e-t² dt y(0) = 3

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Q: 5 3 + s2-8 s2+ 3.

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Q: Consider the region bounded by x = 3y and x = y^2. A solid is formed by rotating the region about…

A: We have to set up the integral to find the volume.

Q: 4. Find the absolute extrema of the function f(r, y) = ry-I-3y on with vertices (0,0), (0, 4), and…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy = -54 -36

A: In this question we have to find integration by using triple integration.

Q: Q11. Suppose z = f(x, y), x = g(t), and y = h(t) satisfy: h(7) = -2 h'(7) = 1 f-(2, –2) = 2 fy(2,…

A: Suppose z=fx, y, x=gt, and y=ht satisfy: g7=2, h7=-2, fx2, -2=2g'7=-3, h'7=1, fy2, -2=0By using the…

Q: 1. Each of the following limit expressions correspond to a limit definition of the derivative of a…

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Q: ) Below is a diagram of the dotted cube with edges of length 5. Suppose (5, 0,0), v = (0, 5, 0), and…

A: Given u=5,0,0v=0,5,0w=0,0,5

Q: Which of the following formula is used to get the the equation of the slope of a line tangent to a…

A: Given query is to find the correct option for the slope of the tangent.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin () h(2) = L, (cos…

A: Use part I of the Fundamental Theorem of Calculus to find the derivative of

Q: Find the solution of the following IVP using Laplace transforms given that f(0)=1 and f (0)=2: d…

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Q: #2. Determine if the function g(x)-3x+5x is even, odd, or neither (a) using algebraic approach, (b)…

A: Odd even function

Q: Given 1 2 3 0 14 X y 5 6 0 W Find the value of "w". NOTE: Just give the answer for w. Answer:

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Q: Since f'(x) is a function, f'(x) has its own graph, one that is based on the behavior of f(x). True…

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Q: Use differentiation to find a power series representation for n=1 1 (5+ x)2

A: We have to find the power series expansion of the above equation.

Q: 9x² = 164 -8y² + 36x + 64y

A: The given equation is: 9x2-8y2+36x+64y=164...(1)

Q: x2 - 5x + 6 A and X-6 Bx+C (a) The given integrand can be split into factors- x+1 (b) The given…

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Q: Find all exact solutions on [0, 2?). (Enter your answers as a comma-separated list.) 2 tan2(t) =…

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Q: FinD THE arza BOUNDED By THE CURVES : y° +y +Z %3D

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Q: The demand curve for a certain product is given by p(q) = 541 - q. The supply curve is given by p(q)…

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Q: 75 then compute the limit. 137 2| %3D Investigate the one sided limits (left and right) of f () =…

A: Given query is to find the limit.

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x3…

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Q: 2. Find the coordinates of the centre, vertices and foci of the curve with parametric equations: x =…

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Q: @ d(uV)- udv +vdu V du-udv prove the following du O dlnu)= #an dhan'v)= dv

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Q: Match the vector field with its graph. F(x, y) = xi + 3yj 5 y -6+

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Q: For what values of the constant k does the Second Derivative Test guarantee that f(x.y)=x+kxy+y will…

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Q: Verify Green's Theorem by evaluating both integrals dA v? dx + x2 dy ax for the given path. C:…

A: We have to verify the green's theorem

Q: Consider a robot arm as given in the following figure

A: answer is in next step

Q: Evaluate the indefinite integral of f(x) : = x sin x sin x + x cos x + C COs x x sin x + C - sin x x…

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Q: 3. Consider the graph of y = ln (x) + 1. Calculate the area enclosed by the curve y= ln (x) +1 and…

A: The region is bounded by y=ln(x)+1 and the y-axis between the lines y=1 and y=2

Q: Find the volume of the solid generated when the region enclosed by the given curves is revolved…

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Q: (a) Determine the Cartesian equation for the parametric curve defined by x(t) = 5 sin t and y(t) =…

A: We have to find the equation of the curve ,tangent equation to the curve.   Note - As per our…

Q: The difference between f'(3) and f'(x) is that f'(3) is a numerical value and f'(x) is a function of…

A: Explanation of the answer is as follows

Q: (c) 5 In(3 – x) = 4

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Q: Write the general equation for the circle that passes through the points (- 5, 0), (0, 4), and (2,…

A: Given -5,0, 0,4, 2,4 To find general equation of circle:

Q: Given the differential equation y'' – 5y' + 3y = – 4 sin(5t), y(0) = – 2, y'(0) = 1 | Apply the…

A: Given,  y"-5y'+3y=-4 sin(5t)

Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

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Q: Given: (1+5x, X<-1 f(x) ={ x2 -3, -1 <x<3 7x-6, x23 Determine (if possible) f(-1) a. None of these…

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Q: Find the value of the limit: lim x→0* sinx+ tan x

A: Given query is to find the value of the indicated limit

Q: Find the volume of the solid that results when the region enclosed ... by the given curves is…

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Q: Find an equation for an ellipse with foci (+12,0) and vertices at (±13,0).

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Q: Use f(x) = 4x - 5 and g(x) = 3 - x to evaluate the expression. (a) f(g(0))= (b) g(f(0))=

A: Given query is to find the value of indicated function.

Q: y= 2*+☆ -3 sec x; find dy

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: y

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Q: Consider the angle shown below that has a radian measure of 0. A circle with a radius of 2.7 cm is…

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Q: Let f(x) = 6 + v4x – 5. Find f-'(x). f-(2) = for x > 6

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