The total cost to produce x handcrafted wagons is C(x)= 80 +3x -x +5x°. Find the marginal cost when x= 5. A. $368 per wagon B. $695 per wagon O C. $448 per wagon O D. $615 per wagon

Q: 9. Find the value of k so that (2y sin x cos x - y+ 2y²e")dx - (x- sin? x+ kxye*)dy = becomes exact.…

A: To find the  value such that given equation is exact  differential equation.

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A:

Q: Graph the function using translations. f(x) 3*+1 4

A: Given, y= 3x+1 Let y=0, 3x+1=0 Therefore, x-intercept doesn't exist.   Let x=0, y= 31+0=31 y= 3…

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A:

Q: 7. Find the absolute maximum and absolt f(z) = 2x – 31²/3 on the interval -1,2). %3D

A: We have to find out maximum and minimum

Q: Q2\Find the point at which the tangent to the curve y = v4x2 + 1-2 has its slop 2

A: Given: y=4x2+1-2 Slope = 2 We know that slope of tangent to a curve y is defined as dydx

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A: Here, the sample proportion is =7911495=0.5291 Now, for 90% confidence z=1.645

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A: Given :an=20n+1

Q: く > = + 5) = hter DNE. Be sure to enter any numerical answers

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A: Given query is to find rate of change of volume.

Q: 5. S sec(3x) tan(3x) dx

A: formula:∫ secx tanx dx =sec x +Cwe are given;I=∫ sec(3x) tan(3x) dx3x =t3 dx =dtdx =dt3

Q: Find the critical numbers of the function f(x) : 6x – 15a* + 20x – 1 and classify them. Round your…

A:

Q: The total cost to produce x units of perfume is C(x) = (7x+7)(7x+6). Find the marginal average cost…

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A:

Q: 10. Let R be the region that is bounded by the graphs of y = 2x and y = 22 +x - 2. Graph the region…

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Q: dy = 2xV1 – y², 17. -1< y < dx

A: We have to find out solution

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A:

Q: 52 7 -1 dx = V7x – 3

A:

Q: For the function f(x) given below, evaluate lim f(r) and lim f(x). -2+3e 6e + 4 f(z) If the function…

A: We have to find out the limit

Q: x* (x – 1)? (x + 2) (x² + 1)* Calculate the derivative by logarithmic differentiation: g(x)

A:

Q: А. f(x) 3D Vx + 1; а %— 6 if x > 1 if x < 1 a = 2 С. f(*) — 13х + 1l; а %—-+ a = (3х — 2 В. f (*) —…

A: Only Function given in (C) is continuous at that point but not differentiable at that point. For…

Q: Given f(x, y) = 2x* – 4xy – 2y?, find frr(x, y) = fzy(z, y) =

A: Solving the problem by finding the partial derivative.

Q: Determine the area enclosed by f(x) = a° + æ? – æ + 7 and g(x) = æ³ – 2a + 27. The region in…

A: Here  we have to find the area bounded by the curves.

Q: ................................................................ .......... ....................…

A: Find time t. Given rate r=12% Compounde interest formula A=P(1+r/n)nt Amount = 2P

Q: /121 - s" 12t – 5t' +9 dt = +C. (b) u14 + 4.5 Jū du =| +C (c) 1 dx = 5x6 +C.

A:

Q: Given the following cost and revenue functions: C(x) = 10x+ 3 %3D R(x) = 40x– 0.6x? A. Find the…

A: Solve the following

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Q: find the laplace transform L{cosh3tsin3t}

A: Solved below.

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A: Given  Amount of calories burn per hour = 600t

Q: Given the vector-valued function R(t) = -6cos(1-2t) i+8t j+6 sin(1 2t) k. Find: (a) the length of…

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Q: 5 Calculate the second and the third derivative of y = 6x – y": y"

A:

Q: 12 (2). Here is an Ry region, in the XY plane: Consider the change of variable u = xy and v = 3y +…

A: Here we have to write the integral by using change of variable.

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Q: y = y (4, 13) 12

A: We will find the exponential function.

Q: Use long division to divide. (5x - 12x? - - 4x + 3) ÷ (5x + 3)

A:

Q: A company manufactures and sells DVD's. Here are the equations they use in connection with their…

A: Here we will find the functions,

Q: Solve: (2x cosy + 3x y) dæ + (x – a? sin y – y) dy = 0 O 2x cos y + 2x2y-y = C O x3 cos y + x?y-y =…

A:

Q: Find the interval on which the curve 1 y = dt 4 +t+ 4t2 is concave upward. Note: When using interval…

A: 4t2+t+4 =2t+142+6316y=∫1x12t+142+6316dtFormula:∫ 1a2+x2 dx =1a tan-1xay =1216316 tan-12t+1463161x…

Q: 2. Let g (x) = x e. Let R be the region bounded by y a. Find the area of R. Show your work in…

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Q: Mark the critical points on the following graph. z°e-, 17 153 136 119 102 85 68 51 34 17 Clear All…

A: Here we have to mark the critical points on the given graph.

Q: Evaluate the function at the indicated value of x= 3. f(x)=log243* -5 5

A: To find the value of given function at x=3.

Q: Find the derivative of y = 4x 2 Be sure to include parentheses around the arguments of any…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: We need to choose correct option.

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A: To find the value of x that gives maximum volume of box.

Q: onsider the functionfx) 5x" + 8x 1. f(x) has a critical point at x ind the value of A: A, does f(x)…

A:

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A: Given linear system is Xa=Y is having no solution. Suppose that X be f by g, where f&gt;g. X is full…

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Q: given funchiow: fox) = x?e?" Defermine any pants of inflectro

A: Given :f(x)=x2e7x