3) у %3D 2u* + 1 x = 5u? – 5u -

Q: Evaluate the following integrals. 1 dx (e2r – 4)³/2

A: The integration of the integral is 1/(e2x-4)5/2.

Q: A solid right cylindrical cement block of volume 9n ft is to be made, and then painted except for…

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Q: CoS“ n In n а. n2 n³ n=1

A: Solution: a) ∑n=1∞cos2(n)n2+ln (n)n3

Q: 3. Hallar una serie de potencias centrada en c = -3 para la función f(x) = 1 2х-5 a) Σ (3x)* 2-1…

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Q: 5. v(t) = t2 – t – 12 is the given velocity function in feet per second for a particle moving along…

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Q: 4. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. r = cos“ 2

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Q: What is the appropriate substitution to solve dy/dx + ln(x+1)y/x = x^3y^3? z=y^-2 z=y^2 z=y^3 y=vx

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Using terms like "secant line" and "tangent line", explain how evaluating f(3+ h) – f(3) lim gives…

A: This is a problem related to derivation of the general formula of differentiation.

Q: Find the exact value of the indicated trigonometric function of 0. 4 31) tan 0 = -, 0 in quadrant II…

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Q: A radioactive substance decays according to A=A0e^−0.0037t, where A0 is the initial amount and t is…

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Q: Evaluate the definite integral. "1/4 9 + 5 cos?(8) cos?(e) de

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Q: Find the third degree Maclaurin polynomial for f(x) = cot-1(x) and use this to approximate…

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per nour. The rate decreased as time…

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Q: Find the most general antiderivative of the function. antiderivative.) g(u) = 6u + Vū

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Q: : cos'x dx to Which of the following is one of the correct steps to evaluate obtain the desired…

A: Here, we have given an indefinite integral in which  we have to integrate a trigonometric function.…

Q: dy Find dz and simplify: y = ln(2x + V1 + 2a²)

A: The objective of the question is evaluate the derivative of the given function.

Q: The cost in dollars for removing p percent of pollutants from a river in Smith County is 72700p 100…

A: Given,            The cost in dollars for removing p percent of pollutants from a river in Smity…

Q: a) y = 6x2/3 - 4х + 1

A: Follow the procedure given below.

Q: Use trigonometric substitution if possible dx 3 х? (9x2 — 4)2

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Q: Find all solutions of cos (z) = %3D

A: Solution of cos(x)=cos(y) isx=2kπ±y

Q: 2 y = cos( x 4

A: answer is in next step

Q: Give the parametric and symmetric equations of the line that passes through the point (4,-3,5) and…

A: I am attaching image so that you understand each and every step.

Q: Find the vector component of v = (4, – 1, 7) along b = (1, 2, –2) and the vector component of v…

A: Given v=(4,-1,7)      b=(1,2,-2)

Q: x) together 1. Use the graphs of the functions f and g below (and your own graph of the function…

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Q: Use the indicated change of variables to evaluate the double integral. 4(x2 + y²) dA X = y = (0, 1)…

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Q: 7. Find the area of the region that lies inside the curve r = 3cos0 and outside r = 1+ cos0. Show…

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Q: Q5. Find if y = Vcos x - 7*

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Q: Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x – y + z = 2…

A: For solving This question I found direction cosine using dot product as two perpendicular plane is…

Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim(10 sin(11t)…

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Q: Evaluate the iterated integral by converting to polar coordinates. (Round your answer to four…

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Q: o evaluate the fo

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Q: Find the surface area of that part of the plane 9x + 6y + z = 4 that lies inside the elliptic…

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Q: Use the first derivative test to find the location of all local extrema in the interval (0, 27) for…

A: answer is in  next step

Q: Let g(x) = F(t) dt, where fis the function whose graph is shown. y 3- fAt) 2- 1 t 8 16 24 32 -1 -2…

A: We have to find the local maxima,local minima and concave downward.

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: 1. Evaluate the integral. Shade the region whose net area you have found. Ax) a). 4 b). (x² – 2x –…

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Q: 6) S sech? (2x- 3) dx | ex-e-x 7) S ex+e-x 8) S(eax – e-ax) dx sinh x 9) S dx 1+cosh x 10) ſ csch? x…

A: Given

Q: Determine the derivative of each function using the limit definition. 1. Y = 2 – 7x - 2 = 4 – 5x –…

A: f'(x) = limh→0 f(x+h)-f(x)h.

Q: Write TRUE if the statement is always correct and FALSE if otherwise. Prove your answer. (c) If am…

A: c)   If an≤bn for all n∈ℕ and ∑n=1∞an is divergent, then  ∑n=1∞bn is divergent.

Q: converges

A: We have to determine the given series is converges or diverges

Q: The general solution for the homogeneous differential equation y(5) – 2y(4) + 2y - 4y" +y - 2y = 0…

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Q: Solve the given initial-value problem. dx x = 6y2, x(9) = 1 y - dy x(y) = Give the largest interval…

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Q: A ski resort has a lift from A to C, as shown in the figure below. Angle DAC measures 40°. Mountain…

A: Solution: Given:  ∠DAC = 40°So, ∠BAC = 180° - ∠DAC ∠BAC = 180° - 40°∠BAC =140°

Q: Exv3x² + 4 dx %3D 1 (3x² + 4)v3x² + 4 +c 3

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Q: Solve the given initial-value problem. xy' + y = e*, y(1) = 8 y(x) = Give the largest interval I…

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Q: Activity 1.4.2. For each given graph of y = f(x), sketch an approximate graph of its derivative…

A: For each graph of y=f(x) , sketch an approximate graph of its derivative function, y=f'(x).

Q: 4. Determine the general equation of the plane containing the points P(1, –4, –5), 3 Q(2,0, 13) and…

A: Given :P(1,-4,-5)Q(2,0,13)R(-3,34,6)

Q: 6х — 8г? — 5 dx (2х — 1)(4г? + 1)

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Q: Find the area of the region bounded by the given curves. y = x², y = 4x – x² - ly=x²

A: We have to find area of bounded region.

Q: 3. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. x =1+3t²,…

A: