e* What is the integrable form of dx? e* – e ¯* A (u²– 1) ² du (в du D

Q: Solve the differential equation by using integrating factors. xy' = 3y + x2

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Q: 2) Find tue indefinite inpegrel W V 2w +5 dw

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Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (г) — 5x — 4 2. f (x) = 4...

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Q: | cos?x tan³x dx

A: To evaluate the following integral

Q: Find dw/dt using the appropriate Chain Rule. Function Value t = 0 w = x sin y x = et, y = n - t dw d...

A: Given query is to find the indicated derivative.

Q: Question The position of a car traveling along a highway is given by the function s(t) = -13 + + 12t...

A: Given query is to find the interval where car is speeding up.

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dz 4 (6 – z). + Need Help? ...

A: We know, (i)∫xndx= x(n+1)/(n+1)+C, for any real number n and any constant C.

Q: A pine tree growing on a hillside makes a 76°angle with the hill. From a point 83 feet up the​ hill,...

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Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0

A: The given differential equation is; (2v2+4u2v)du + (4uv+3u3)dv=0.

Q: Suppose f(x) and f'(x) have the values shov 33 34 35 36 37 f(x) f'(x) 9 17 5 4 15 3 -4 -3 -5 -2 1 Le...

A: We will find the value of the function. 

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x 2, an...

A: We use the formula for volume=π integration of y2 from x=a to x=b.

Q: Find the total differential. z = e-X tan(y)

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Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of integra...

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Q: 7. y = tan ex + etanāx

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Q: 1) Let 7(t) = (t, 2 cos t, 2 sin t), -4 <t< 4. Find the length of the curve.

A: In

Q: 1 Find the equation of the tangent line to f- at the point P(,,-1) for f(x) = %3D 3x2 - 1 Provide yo...

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Q: Find f'(x). f(x) = (5 + In x)° 6. f'(x) =D %3D

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Q: The relationship between a professional basketball player's height H (in inches) and weight W (in po...

A: Given query is to find the weight at given height.

Q: ☺ Find tue indefinile intgrel. cos (5@] do

A: ∫un du = un+1n+1+C ; where, 'C' is an integration constant.

Q: 26. Find the absolute maximum value for the function f(x) = x2 - 3, a on the interval [-4, 0) U (0, ...

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Q: f C(t) = 55t e - 0.2t measures the concentration, in ng of a drug in a person's system t hours after...

A: Given query is to find the maximum concentration of the drug.

Q: ng If C(t) = 62.5t e -0.19t measures the concentration, in of a drug in a person's system t hours af...

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Q: 8. y = In(x + Vx² +1)

A: According to given, only 8 is solved  

Q: Question 2 Write a Riemann sum corresponding to the following definite sin x xp- 1+ x5

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Q: w = x18yz14 + sin(yz)

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Q: Given cost and price (demand) functions C(q) = 100q + 40,000 and p(g) = - 2q + 870, what is the maxi...

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Q: 7.5- yy - 9 4+9) dy -6- 8.S 1 dx e2x+ e-2x

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Q: Evaluate the definite integral V9 – x dx 0.

A: ∫05 x9-xdx  

Q: I Find the second derivative(y") of the following functions and simplify the final result 1. y = x –...

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Q: Show that y1(t) = et and y2(t) = e−3t form a fundamental set of solutions for y'' +2y' −3y = 0, then...

A: If y1(t)  and y2(t) are two solutions to the differential equation                   p(t)y''+q(t)y'+...

Q: Evaluation of functions. For each of the following, find the required function. Vx2+9 1. If f(x) det...

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Q: To evaluate the integral 2х — 1 dx x2 – 16 we use the partial fraction decomposition of the integran...

A: Need to find the partial fraction that will use to evaluate the integral ∫2x-1x2-16 dx.

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x = 2,...

A: We have to calculate volume of solid formed when the graph of the region bounded by  y=ex , x=0 ,x=2...

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: Given Cost and Revenue functions C(q)=q^3-8q^2+52q+5000 and R(q)=−3q^2+2500q​, what costs should t...

A: The given question has been solved in detail.

Q: 3 Determine the intervals for the following functions to be defined. Show that the functions are con...

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Q: sinh(5) = (A) 5 + v26 (B) In(5 + v24) (C) In(5 + v26) (D) e-e-5 (E) 5 2

A: Find your answer below 

Q: Solve the homogeneous equation (x²+y²)dy + x²dx = 0 Please help.

A: x2+y2dy+x2dx=0rewrite in standard format x2+y2dy=-x2dxdydx=-x2x2+y2

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x²...

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Q: Find tue indefinike insegred. Jcostex) sin'ces) de 3 6 (os (2x) Sin

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Q: A mountain climber is about to haul up a 50-m length of hanging rope. How much work will it take if ...

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Q: 1.n f csc n? de y2 - 2y + 3 2.5; Vy - 3y: + 9y – 21 dy

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Q: sinx+X cosx - esa+e The integral dr may be written as mensinxi pr+ gerx 1 C, where m, n, p, q, r, an...

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Q: Question 6 Find the area of the region bounded by the curve y=1-. and the x - аxis. A 8 sq. units B)...

A: Area of the region between the curve and the x - axis is 4 square units Hence option D is the correc...

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: By considering the real and imaginary parts of the product eiθ eiφ prove the standard formulae for c...

A: Given problem:- By considering the real and imaginary parts of the product eiθ eiφ prove the standar...

Q: sinx sinx + The integral cosx - e dr may be written as „nsinx me +px+qe* where m, n, p, q. r, and C ...

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Q: Te relationship beween a profesSIonal basketball players helgh H (IN Ihches) anta welght w (In pound...

A: Given query is to find the weight for the given modal.

Q: A waste management company is designing a rectangular construction dumpster that will be twice as lo...

A: Explained below

Q: Work Problems a) Evaluate the integral (4x + 1) ln x dx b) Evaluate the integral fou | 6 tan" x sec“...

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