S 5e¯x- 6e-3x Given: Find: u 5e2x – 6 O 5e-x- 6e-3x O5e-x- 6e-3x O 5-6e-2x

Q: Discuss the continuity of the function g(x) = 1/(x^2-4) on the interval (0, 2] and [−1, 3].

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Q: Evaluate the integral. | sin(x) cos(6x) da = +C NOTE: Enter the ezact answer.

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Q: snowball melts so that its surface area decreases ata rate of 1cm^2/min, find the rate at which the ...

A: Given query is to find the rate of chnage of diameter.

Q: c) Evaluate [| 4xy where D is the portion of x + y = 2 in the 1* quadrant.

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Q: Consider the following rational function: anx" + an – 1xn-1+ ... + a1x + ao f(x) bmxm + bm - 1xm-1+....

A: The rational function,      fx=anxn+an-1xn-1+....+a1x+a0bmxm+bm-1xm-1+....+b1x+b0

Q: 45-56 Find the absolute maximum and absolute minimum values of f on the given interval. 45. f(x) = 1...

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Q: Evaluate the integral. sin (10x) cos?(10x) dx =| +C NOTE: Enter the exact answer.

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Q: Find the area of the shaded region in the given graph.

A: This question can be solved using the concept of area under curve using definite integral.

Q: Find the area enclosed between f(x) = 0.6x² + 3 and g(x) = x from x = -2 to x = 6.

A: Topic:- application of integration

Q: Find equations of the tangent plane and the normal line to the given surface at the specified point....

A: Solved below

Q: A firm can produce only 2700 units per month. The monthly total cost is given by C(x) = 400 + 200x d...

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Q: Csc X Given: dx Vcor?(글씨)-4cor(글씨)+4 -x)+4 Find: u ct 1 cot2 1 x) - 4cotx) +4 cot cor()- acot( X+ 4

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Q: Determine the end behavior of the following polynomial functions. (That is, does f(x) increase or de...

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Q: S2x3 (3- 5x4)"dx Given:

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Q: For which values of the lower limit of integration a is the following integral convergent. 1 dx 4x 1...

A: Here the limits of the integral are finite. So, the integral will be convergent if its value is a fi...

Q: A farmer has 800 meters of fencing material to enclose a rectangular pen adjacent to a long existing...

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Q: Given: cos(cos2x) sin2x dx Find: du O 2sin2x dx -2sin2x dx O -2cos2x dx 2cos2x dx

A: Given that ∫cos cos 2x sin 2x dx  -(i)Our Aim is to find the value of du=?

Q: What is the maximum value of f(x) = x³ + 3x2 -2 ? %3D Answer:

A: Solution: f(x)=x3+3x2-2 find the maximum f(x)  

Q: S10ze² +!dz= Select one: O z'e*+1+c O 5e²+1 +c O 4re" +1 + c O 6e +1+ c O None of the other choices.

A: Integrate 10xex2+1 w.r.t. x 

Q: dx Evaluate 1 x2 O -00 O -2 O 2

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Q: Evaluate x* zdS, where S is the part of the plane z = 1+4x + 3y above the rectangle [0, 3] x [0, 5]

A: Please see the below picture for detailed solution.

Q: -1 [cos'x{ v(1-x*)}]" dx log.{1+( 1+( sin (2xv(1-x²)) TT

A: Given: - The indefinite integral is, ∫cos-1x1-x2-1loge1+sin2x1-x2πdx  To find: - The solution of the...

Q: Use Newton's method and find an approximation for the root of the following function accurate to wit...

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Q: Evaluate: * (Зх— 1 f(x) = {5 (x + 2 x 2 x = 2

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Q: The weekly sales of Honolulu Red Oranges is given by q = 1008 – 18p. Calculate the price elasticity ...

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Q: Given: x² dx Find: Formula Se"au o fe"du " du 3 o 1 e"du o fa"du aªdu

A: topic - indefinite integral

Q: For the function ?(?) = 1/4e^x+e^-x 1. Set up the integral for the length of the curve segment along...

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Q: Evaluate :// F. d5 , where F = and S is the helicoid with vector equation r(u, v) upward orientatio...

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Q: Suppose that f(x, y) = 5x + 2y on the domain = {(x, y) | 1 < æ < 2, a² < y < 4}. D D Then the double...

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Q: Suppose f(x) (x + 5)(x + 2)(x + 1) a. Determine the roots of the function f. Preview b. What is the ...

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Q: Set up (do not solvel) the volume of the solid whose base is bounded by y = x, y = 0 and x = 1. with...

A: We need to set up integral.

Q: 45-56 Find the absolute maximum and absolute minimum values of f on the given interval. 45. f(x) = 1...

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Q: dx Evaluate 6e* cos (3e *) O 2 [In |sec(3e-x) + tan(3e-|] + C In |sec(3e-M) - tan(3e-|] + C O -18 [I...

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Q: tan æ – In () DIFFERENTIATE the given:

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Q: sec? x 4 TT dx- Evaluate 1-tan x O 1 O-2 O 2 O-1

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Q: Apply derivatives to determine the critical points of the function ?=?(x−6)².

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Q: A community had an initial population of 6000 people in 1990.  Now assume that the population decrea...

A: topic- exponential function

Q: secx 7. When does the graph of the function f(x) have a horizontal tangent? 1+ tanx

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Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each t...

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am solvi...

Q: sec (In x) + sec2(In x) tan(In x) 2х Given: dx Find: du tan(in x) 2х sec³(In x) + sec²(In x) sec(in ...

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Q: In each case, determine whether or not the lines have a single point of intersection. If they do, gi...

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Q: sinx + cosX dx e-X + sinx

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Q: sec3(In x) + sec²(In x) tan(In x) dx Given: 2x Find: du V sec (In x) + sec²(In x) dx tan(ın x) dx ta...

A: On solving this we will get

Q: Find dy/dx, using implicit differentiation. e*y – y = 8 Implicit Differentiation: dx Compare your an...

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Q: ку — 1 x²y 1 dx dy = 0 ху?

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Q: Let F(z) = | sin(5t) dt. Find the MacLaurin polynomial of degree 7 for F(z). 0.69 | sin(5z*) dz. Use...

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Q: Use sigma notation to write the Taylor series about x = xo for the function. e; xo = 10 O 00 e10 E* ...

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Q: The revenue function Rin terms of the number of units sold, a, is given as R= 250z – 0.32? where Ris...

A: topic - functions and application of derivatives

Q: Scos(cos2x) sin2x dx Given: Find: du О 2cos2x dx -2sin2x dx -2cos2x dx 2sin2x dx

A: The solution is given in the next step.

Q: Which of the following represents the radius of the sphere whose equation is x² + 8x +y2 – 16y +z² –...

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