X-2 %3D

Q: If an arrow is shot upward on Mars with a speed of 52 m/s, its height in meters t seconds later is g...

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Q: f'(x)= 3cos(x)+5sin(x), f(0) = 9 a. f(x)= – 3sin(x)– 4cos(x)+7 O b. f(x)=3sin(x)+4cos(x)+11 O c. f(x...

A: Topic = Integration Correct answer  = C

Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: Find dy/dx by implicit differentiation. y tan(x – y) 7 + x2 y' = Need Help? Read It

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 2x²...

A: topic - mean value theorem

Q: TX Evaluate the integral dx dy by reversing the order of integration. 2 Cos 0.

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Q: Evaluate the following limit, if it exists : lim (cot 12z – csc 12z) Note: Write the exact answer no...

A: This question is related to limits, We will solve it using given information.

Q: |2/2r| 2, dx -1

A: Let I is the value of given Integral.

Q: An initial population, p, of 1000 bacteria grows in number according to the equation p(t) = 1000(1+ ...

A: Solve for the population after 60 min

Q: Given æ = 11t – 10 and y = 121 sin t dy (i) dx dy (ii) dx? ||

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Q: Evaluate the limit lim 2+4- Vz-10 Answer:

A: Given:     limx→∞x2+4-x2-10

Q: 4x3 y = cos sin e2x

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Q: find f'Cx) if f(x) = In xa

A: We have to solve the derivative

Q: The top of a ladder slides down a vertical wall at a rate of 0.125 m/s. At the moment when the botto...

A: Find the length of ladder when bottom of the ladder is increasing at the rate of 0.3m/s when bottom ...

Q: A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south...

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Q: Evaluate the limit (7 - 1)(11+ 4r) lim (3 - 72)(6+ 8r)

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Q: The data given below were taken from a study about the preferred payment methods according to age. T...

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Q: Consider the equation below. f(x) = 2x3 + 3x² – 72x (a) Find the interval on which f is increasing. ...

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Q: 4. Find the volume of the region enclosed by the cylinder x? + y? planes z = 0 and y + z = 4. = 4 an...

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8. de cos(8) – 1 8 cot

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Q: Evaluate the following definite integral 6x (1+ x*)³ dx

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Q: Find the general solution of (ye – 2y³) dx+ (xe А. еxу + 2хy3 - у? %3D С В. е — 2ху3 - у? %3D с 6xy2...

A: We have to solve the problem

Q: The region D is bounded by y = -x, x = 0 and y = 4. Which of the following gives the setting of the ...

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Q: evaluate each of the following (or write DNE if it doesn’t exist): a) h′(1) b) h′(−1) c) h′(0)

A: Given, h=g∘f

Q: f(t) = S1 1-T1+T

A: Fourier transform of f(t) is  f^w = ∫-∞∞f(t)e-iwtdt Here  f(t) =   {  1    1—T ≤ t ≤ 1+T            ...

Q: Given that lim f(1) =-10, lim g(z) = -2, lim h(1) = 8, find the following limits Enter inf for 00, -...

A: Limit equation is given.

Q: 1. Show that the functions e*, e2*, e3*are linearly independent. Show Complete Solution Answer: W 2e...

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Q: Step 3 Substitute cos 60 = u. Differentiate with respect to 8 on both sides. -6 sin 60 de = du Step ...

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Q: A circular ring of wire of radius ro lies in a plane perpendicular to the x-axis and is centered at ...

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Q: Consider the function f(z) = There is a vertical asymptote at z=0 NOTE: If there is more than one yo...

A: Solved below

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: SET UP the definite integral that will give the area of the shaded region (as shown below) using a. ...

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Q: Consider the following shaded region. y=ax – x? y=bx Find the area S of this region if a = 4, b = 2....

A: Firstly we will find the point of intersection from graph as shown below and then find area of regio...

Q: How many ways can a Captain, Vice-captain and team manager be chosen from a team of 22 persons

A: Given 

Q: a) Evaluate sin(300°). b) Draw the angles 150°, 300°, and 600° onto the same unit circle. c) Use the...

A: a.sin300° =sin360°-60°=-sin60°=-32sin360°-θ=-sinθc. sin150°=sin2×75°=2sin75°cos75°     sin2θ=2sinθco...

Q: Given æ = 2 cos t + 12 and y = 6 sin? t dx (i) dt dy (ii) dt dy (iii) dx || ||

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 1 + 1 lim X→-5 5 + x

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Q: y = sech 2 + v2x + 1 + tanh v8x² + 3

A: y=sech2+2x+1+tanh8x2+3

Q: Problem 1 Determine the matrix exponential function e for a. 4- ) A = 3. b. 1 A = 3-1 3 -4

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Q: The cost of fuel to propel a boat through the water (in dollars per hour) is proportional to the cub...

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Q: Suppose you drop a metal ball from the top of the building that is 250 meters high. The ball has a M...

A: ..

Q: Find the indefinite integral. (Use C for the constant of integration.) 8 de J cos(8) – 1 8 cot)+C Ne...

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Q: Find the general solution of (x² +y² + 1) dx + (x² – 2xy) dy = 0 А. х? - у? — ху — 1 %3D Сх В. х2 + ...

A: As per guidelines, we"ll solve only first question. Uf you want another questions to be solved, repo...

Q: - The position of an object moving on a line is given by s(t) = 6t2 – t°, t> 0,

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Q: The displacement (in centimeters) of a particle moving back and forth along a straight line is given...

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Q: Find the differential equation of the following funct: (3х + 2у + 7)dx + (2x — у)dy %3D 0 а. Зx? + 4...

A: Finding the solution of the differential equation

Q: EXPLAIN what you understand by the extreme values of a function on a given interval. b) Is there an...

A: Consider a function y=f(x)

Q: particle moves according to a law of motion s = f(t), t > 0, where t is measured in seconds and s in...

A: This question is about finding velocity of particle & it's acceleration at a given time 

Q: Evaluate the integral using tabular integration by parts. | 2 x* /2 ¤ + I da- +C %3D

A: Given:       ∫2x32x+1dx taking constant out         =2∫x32x+1dx    substitute u=2x+1→dudx=2→dx=12du ...

Q: C are cnitica 4, В), (В, С)

A: We have to solve the problem