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Q: Evaluate the iterated integral by converting to polar coordinates. 81 sin(x? + y?) dy dx

A: First I have changed the integral into polar form and then evaluate it.Final solution is in the box.

Q: Find all values of x, xe[0,2n] where f(x) = secx has a horizontal tangent line

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Q: Evaluate the integral. [HINT: Use a shortcut.] | 12(2x + 1)5 dx

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Q: x cos x + sin x Find x sin x *xp-

A: Evaluate the following.    ∫xcos(x)+sin(x)xsin(x) dx

Q: Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = 3 1- 2x Provide your a...

A: see below the answer and explanation

Q: Find

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Q: Let A = and B = be vectors in R3. Find the unit vector in the direction of the vector A - 2B.

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Q: Improper Integrals - Integrating over an infinite interval. In this problem our goal is to determine...

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Q: Use the given information to determine the values of the remaining five trigonometric functions. (As...

A: Solution ) sin A = 3/5 We know sin2 θ + cos2θ = 1 1)cos θ = √( 1 - sin2θ) cos θ = √( 1 - ( 3/5)2) co...

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

A: Find your answer below 

Q: Evaluate each expression. 7. log, 7° 8. log, 0.001 9. log, 4096

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Q: consider the following  5^3x+1 = 3^x-5 a) find the exact solution of the exponential equation in t...

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Q: Determine where the function is (a) increasing; (b) decreasing; and (c) determine where relative ext...

A: Given: - The function is, y=3x-x2+8 To determine: - The function is (a) increasing (b) decreasing an...

Q: Suppose that an is a convergent series, with positive terms (i.e., an >0 for all n). n=1 (a) Does th...

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Q: Evaluate the integral of the following transcendental functions. dy 4) [- V9-49y² x² – 4 dx 5) [ x² ...

A: Topic:- application of integration Note :- as per our guideline if more than three subparts posted t...

Q: Consider the following integral. | 4x7 V4 + 15 dx With the right substitution, the integral becomes ...

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Q: Find the tangent plane to the surface at the given point. 2x+ 3y z= at P (2, – 1, 1) x+y

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Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of integrat...

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Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

A: Given graph  

Q: Given f(x, y) = ln /æ²y³. What is the value of fy (1, 2)? If the answer is a fraction, write your an...

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Q: Suppose 2700 cm² of material is available to make a box with a square base and open top. a) Show tha...

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Q: Find all second-order partial derivatives of the function. f (x,y) =x³+xy³ + y²

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Q: Approximating Function Values In Exercises 43-46, use differentials to approximate the value of the ...

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Q: A potato is launched vertically upward with an initial velocity of 129 ft/s from a potato gun at the...

A: Rate of change of displacement is called velocity and rate of change of velocity is called accelerat...

Q: (a) Show that the following identity is true 1 1 2n +1 n2 (n+ 1)² n²(n + 1)² (b) Use the identity in...

A: Sum

Q: The position of a car traveling along a highway is given by the function s(t) = 2t* – 2t - 3t2 + 6 w...

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Q: Q Find Haclaurin Sertedf then fuucboors Ć Sinx

A: Here we have to find the Maclaurin series of the given function,  a) f(x)=11-xb) f(x)=exsinx  

Q: 1. メ-\ メ+!

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Q: Find the extreme values of the function f(x) = x3 + 9x² + 5 on the interval x E [-1,3]

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Q: Differentiate the vector function. (1) Find r'(t) (2) Find r'"(t) r(t) = cos t

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Q: Find all solutions to the equation on the interval 0, 27): cos V3 2 T 47 3' 3 47 57 3' 3 * 27 47 5T ...

A: Equation

Q: Graph f (x) = (1/2)* and g (x) =(1/2) ~*+3. Plot three points and also the asymptote.

A: The answer is in step 2.

Q: 2. Below is part of the graph of 5r³y-3ry? + y³ = 6. If cord pugin points can tangent line Lex)= f'c...

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: Your answer is incorrect. If L is a line in 2-space or 3-space that passes through the points A and ...

A: Explained below 

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 15 + =sin(8nt),...

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Q: Differential equations ydx + (2x – ye")dy = 0 has an integrating factor µ(x, y) = x"y" for constants...

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Q: 2 Evaluate 2 dA where D is the region described by 0s ys 55 - x Integral is equal to : Enter an inte...

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Q: Find the Wronskian of the functions f(t) = 5e' sin(t) and g(t) = e' cos(t). %3D NOTE: Your answer mu...

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Q: 2. -dx xpS

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Q: 2. Let C be the graph of the equation In(3y – 2e*) = sinh (Tx) – tan(y – 1) dy (a) Find dx (b) Find ...

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Q: Given f(x) = 2/(x + 5) and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x))

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Q: A box is partially filled with liquid. The length of the box is 18 inches. The width of the box is 1...

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Q: 2. If f(x) = g(x) × h(x) and f'(x) = -2(x – 7) + 1(-2x – 6) , find a possible equation for f(x)

A: see below the answer and explanation

Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, -7) and the vector component of v orth...

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Q: x² – 49 .2 if x + -7 f(x) : x +7 -12 if x = -7

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Q: A triangle has a base that is decreasing at a rate of 10 feet per hour with the height being held co...

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Q: Find the eigenvalues λ1 < λ2 and associated unit eigenvectors u1,u2 of the symmetric matrix A= [−3 ...

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Q: Let P(-1, 1, 3) and Q(-3, 1, 5) be points in R3. Find the components, magnitude and direction angles...

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Q: (a). Write the distance from point P(, y) on the line y = 2x to the point (3, 3) as a function of c....

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the p...

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