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Q: Čalculate the derivative. (Use symbolic notation and fractions where needed.) 4 cot (u) du = de

A: Given, ddθ∫1θ4cot(u)du To calculate this, we will apply the leibniz rule The leibniz rule is ddx∫g(...

Q: 2 16 (a) Evaluate the integral: dæ x² + 4 Your answer should be in the form kT, where k is an intege...

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Q: Please show all work so that i may understand your answer, thank you for your time!

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Q: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 135°. Enter ...

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Q: Find the exact value of the expression whenever it is defined

A: (a) The expression is sin-1-22 By using the property, sin-1(-x)=-sin-1(x) sin-1-22=-sin-122 Let sin...

Q: I need help on this problem

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Q: Question is in the image :)

A: Given:

Q: Setup an integral to find the surface area for the graph y = x1/2 rotated about the y axis under the...

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Q: t 0. 36 9 12 (seconds) p(t) (feet) 3 5.5 7 13 17 The position of a particle, A, moving along the x-a...

A: Given table is,

Q: A particle is moving with the given data. Find the position of the particle. a(t)= t^2 -5t + 4, s(0...

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Q: find the first & second derivative of fox)=e 2. Cosx.

A: Given: The function fx=x2excosx, To find: First and second derivative of given function fx.

Q: A company has a marginal profit function given byP^1(x) = −2x + 140where P^1(x) is in dollars per un...

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Q: Calculus Question

A: 6x6-2x4+9x2+9 is divided by x-2 Now, 6x6-2x4+9x2+9=6x6+0x5-2x4+0x3+9x2+0x+9

Q: Help me number 10 pls. find the derivatives of the following functions with respect to x and simplif...

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Q: Let u = (-3, -1, 3) and : = (3, 1, 2). Find the vector component of u orthogonal to a. a 3D

A: Since you have asked multiple questions in single request so we will be answering only first ques...

Q: Determine a rational function R(x) that meets the given conditions:R(x) has vertical asymptotes at x...

A: Given that R(x) has vertical asymptotes at x=-2 and x=0 and horizontal asymptote is at y=0 and R(1)...

Q: Graph two full periods of the given cosecant y = -2 csc πx or secant function.

A: Given- y=-2csc πx To draw- The graph above function for two full period.

Q: Use calculus to find the volume of the following solid S: The base of S is the parabolic region {(x,...

A: Given: The base is the parabolic , Cross-section perpendicular to the y axis are squares

Q: Determine whether the series converges or diverges. 00

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Q: Can you help me find where the absolute max and absolute min occur?

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Q: A ball is thrown upward from a height of 1.5 m at an initial speed of 45 m/sec. Acceleration resulti...

A: Given that the initial speed=v0=45Initial height=h0=1.5Acceleration=a=-9.8So using the relation a=dv...

Q: See attached, I wanted to see if I did them correctly. Thanks.

A: Given that dydx=10-2y. Let y=f(x) be a particular solution to the differential equation with initial...

Q: A. SOLVE THE FOLLOWING SYSTEMS as directed: 1. by SUBSTITUTION: y = 2x + 4 ---(1) 3x + y = 9 -(2)

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Q: X 8.5.20 Write the partial fraction decomposition of the following rational expression. 5x2 - 21x + ...

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Q: Please help me with this problem. Thank you!

A: formula for the amount of annuity is = ert∫0Tc(t)e-rtdt detailed solution is given below

Q: y to 6. 2.

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Q: 15.7.515

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Q: Using the Integral Test, check the convergence of the following series by verifying the necessary co...

A: Integral test: If f is continuous, positive, and decreasing on [1,∞) such that an ...

Q: nd her awerage speed over the first 6 hours

A: Given that: Table :

Q: Evaluate the given integral. Use c as the constant of integration. e 22xdx

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Q: A Cartesian equation for the polar equation r 8 can be written as: %3D x2 + y?

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Q: f(a + h) - f(a) a. Use the definition man = lim h-0 to find the slope of the line tangent to the gra...

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Q: Hw: Al-z,0), B(210), (slope of Am) - (slape of Bm) = -, what's the trajeebory of m?

A: Given, A (-2, 0) and B (2, 0) (Slope of AM)*(Slope of BM) = -1/2 Let's assume, The coordinate of poi...

Q: Can you help me find C"(3) ?

A: Given cost function, Cx=3000x8x2+5x-6

Q: Solve the inequality x2< x + 12 and graph the solution set on a real number line. Express the sol...

A: Given, x2<x+2