Match the integral expression on the left to its suitable transformation on the right, after using appropriate identities, algebraic manipulation and substitution, Prompts Submitted Answers Stan wisec"wlax Choose a match Choose a match Ssn'(wicos"cwlax Choose a match

Q: y = ecos²(x) is: eCos? %3D y' = - sin(2x)ecos²(x) y' = sin(2x)ecos²(x) the above the above y' = -2 s...

A: Here we will find the derivative of the given function,

Q: 3 is convergent or 24n-2 Determine whether the series Ć diveryent. It itis convergent, find its Sumi...

A: Topic:- sequence and series

Q: Find the length of the arc of the curve having the parametric equations x = t³3 and y = from t = 0 t...

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Q: A straight line perpendicular to and passing through the point of tangency of the tangent line is ca...

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Q: Find the arclength of y = 2x/2 on 1 < x < 3

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Q: | sin' cos“ 4 x

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Q: At which point/s (value/s of x) is the function continuous but not differentiable? -4 2 4 6 8 10 42 ...

A: Differentiable

Q: 1. dx+ e*dy=0 5. x(1- y)dx+(x² -2)dy= 0 5. sin2xdx+4ycos² 2xdy=0 dy_ xy+3x-y-3 dx xy-2x+4y-8 . (4y+ ...

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Q: Using integration by parts, the integral 2 f cot-1 x dx equals: 2 x cot-1x+ In|x² + 1| + C - x cot-1...

A: Given problem:- Using integration by parts solve 2∫ cot-1(x) dx 

Q: Question 6 1 dx 2х + 1)4.

A: Given integral ∫0∞1(2x+1)4 dx

Q: At which point/s does the graph of y = r+9 have a horizontal tangent line? Write the point/s in the ...

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Q: Find the equations of the tangent plane and normal line to the surface with equation 9y? + 9z2 = 22 ...

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Q: 102 - Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = a...

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Q: dy Find using implicit differentiation, for the equation a + = 11 is. da

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Q: Using calculus, find three positive numbers whose sum is 12 and the sum of the squares is as small a...

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Q: The graph shown below is fx) = -(x - 1)2 + 5. What is the integral function g(x) that defines the ar...

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Q: 34x + 16 f(z) g(z) The partial fraction decomposition of 8x2 can be written in the form of - 14x + 3...

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Q: Evaluate the definite integral 7 (18x? – 2x + 9) dæ 3

A: Given,            ∫3718x2-2x+9dx

Q: The figure below shows various gradient vectors of a function f. Determine whether each of the follo...

A: (a) False Consider the gradient vector at (-2,2) Given: ∇f(-2,2) = -4i + 3j This is false because at...

Q: Suppose the rate at which consumers purchase peanut butter is increasing at a rate given by  f ′(t) ...

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Q: 1 dx (2x + 1)4

A: We will use concept of improper integral here. 

Q: Given F(x)=2f(xr)-g(x) and f(-1) = 2. f'(-1) = 3,9(-1) = -5,9'(-1) = 4, find F'(-1). %3D %3D

A: We can find the answer as below.

Q: de spaces in characters. * 4 Find the value of f'(-1) if ƒ (x)=- (3r² – 2.r + Your answer

A: Topic:- derivatives

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

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Q: Let w = xey/z, where x = t², y = 1-t, and z = 1+ 2t. Use the chain rule to find X. (Write your answe...

A: Given query is to find the derivative.

Q: The graph shown below is Ax) = 2 cos x. If g(x) = Sðf(t)dt , find g '( ). %3D %3D 4 3 54 32 -14 1 23...

A: The function is given by fx = 2cosx The graph of the function is  To evaluate: The value of g'π if ...

Q: The values of C, and C, so that y(x) = C, e2* + C, e-2* satisfies the %3D following conditions: y(0)...

A: Here, y(x)=C1e2x+C2e-2x...(1) with the conditions y(0)=1,y'(0)=2

Q: Evaluate the indefinite integral sin (2)cos (2)da = 3

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Q: Q1. Fill in the blank with a suitable mathematical expression. 1. The function f(x) is symmetric abo...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Evaluate the integral. (Use C for the constant of integration.) | 2 csc*(x) cot (x) dx

A: We will use simple Integration formulae to solve this Integral.

Q: 8. arctan (-1)

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Q: Which of the following functions form a particular solution of the differential equation y"+y = sinx...

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Q: For the demand function q= D(p)3D226-p, find the following. a) The elasticity b) The elasticity at p...

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Q: Question 10 Determine whether the improper integral converges or diverges. dx 10 -9 A Diverges B) Co...

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Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

A:  To find the correct substitution  for the given integrals.  

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i 14j as ad...

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Q: Evaluate f'(-2) if f(x) = x* – 5+ x-2 + 4x-4.

A: The detailed solution is given below Thank you 

Q: 2. Complete the following tables of values to investigate lim f(x) f(x) -1 -0.8 0.75 -0.35 0.45 -0.1...

A: solution

Q: State the domain, vertical asymptote, and end behavior of the function.   g(x)=ln(4x+24)+1.1   E...

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Q: In exercises 1-23 solve the given differential equations: 11. sec2xdy+csc ydx = 0

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Q: Suppose that f(x, y) = 6x + 8y and the region D is given by {(x, y) | – 5 < I < 3, – 5 < y < 3}. D T...

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Q: Given the functions x = d²y 3t2 + 4t and y = sin 2t, find dr2

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Q: ) Let w = xe/z, where x =t², y = 1-t, and z = 1+ 2t. Use the chain rule to dz find . (Write your ans...

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Q: Determine whether the series converges using the Ratio test. 00 7k k=1 The series

A: This question is based on Ratio test.

Q: Find the points on the graph of f(x) = where the tangent line is horizontal. x2+2

A: Given query is to find the points where tangent is horizontal.

Q: Find the area of the region bounded by y = -x² – 4x – 2 and y = 2x2 + 8x + 7.

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Q: f (x, y) = xª – 2.x² + y² – 4y + 5. a) Use the second derivative test to find the critical points b)...

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Q: A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a...

A: This question can be solved using the concept of rate of change of physical quantities.

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+1 4k k=...

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