1. S 4x-5 dx - partial fraction 2x2 +4x-6

Q: dy Find using implicit differentiation, for the equation x° + y° = 10 is da %3D y7 y5 y5 o O O O

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Q: sin(4-y)sin(3-y)dy

A: Use the formula sin(A) sin(B)=12(cos(A-B)-cos(A+B))Consider ∫sin(4-y)sin(3-y)dy=∫12(cos(4-y-3+y)-cos...

Q: A). Domain, Symmetry, Asymptotes, Intercepts, B). f', Critical Points and Local Max/Min Values, C). ...

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Q: Determine all critical points for the function. f(x) = 20x3- 3x5

A: Topic:- calculus

Q: Find the equation of the circle shown. -7 -6 -5 -4 -3 -2 -2 -4- -5- of Write equation in standard fo...

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Q: Find an equation in the form y = ax² + bx + c_whose graph has an x-intercept at x = -1 and a tangent...

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Q: Find the value of f' () if f(x) = 2csc3x. 15 Your answer

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Q: Use the Method of Substitution to find the indefinite integrals: a) / te“dt (q

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Q: | sin' cos“ 4 x

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Q: 6.The lim x +3 is equal to 1S 3x-4x+n sin t. 7.The [1 is equal to

A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...

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

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Q: Evaluate: " sin' (;) 4 .2

A: Evaluate :     ∫0πsin7x2cos4x2dx

Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

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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: The integral expression: | Ocos20 d0 can be evaluated by parts of the form: udv vdu . =uv – The prod...

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Q: Farmer Lindsey estimates that after t days, her crop will be increasing at a rate of r(t)  =  15t8 +...

A: Solution ) r (t) = 15t8 + e-0.76t when t = 0 r(0) = 15×(0)8 + e--0.76×0 r(0) = 0 + e0 r(0) = 0 + 1 r...

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: Show your work to justify your answers. Write your solutions properly, neatly, and carefully. s) Fin...

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Q: Solve the problem. A company knows that the unit cost C and the unit revenue R from the production a...

A: To find the rate of change of unit revenue, We will differentiate the given relation formula with re...

Q: Sa2 – 6x +1, x 6 Evaluate the following limits for h(x) = and Justify your answer. (i) lim h(x) = (i...

A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed ...

Q: Evaluate: cot-128 dp. Bcor-120+-미1+4p리 + C A 8 B none of the given choices C B cor-129-m1+4p리 + C D)...

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Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the equa...

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Q: Suppose the sales of potato chips generates a profit at the rate P′(t)  =  10t ln(7t) dollars per we...

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Q: 14 If f(x) : t? dt then f'(x) =

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Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the t...

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Q: Match the integral expression on the left to an equal expression on the right.

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Q: The integral expression: Ocos 20 d0 can be evaluated by parts of the for The product vdu is: -40+ si...

A: We will solve using integration by parts. 

Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 95...

A: Given that, The demand function is following, q = 950 - 14x Where x is the price and q is the demand...

Q: Find an equation of the ellipse that has center (-3, 4), a major axis of length 12, and endpoint of ...

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Q: Evaluate: sin ycos³ydy. A none of the given choices sin'y sinsy +C B sinty siny -+C sin'y sin3y +C 8...

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Q: Suppose f " is continuous on (-o, o). (a) If f '(-3) = 0 and f "(-3) = -9, what can you say about f ...

A: Given that, (a). f'(-3) = 0  and   f''(-3) = -9 (b). f'(5) = 0  and   f''(5) = 0 We have to choose c...

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y6 + 1...

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Q: da dy 3x? – 1 and dt Find at z = 1 if y = at x = -5. dt da dt

A: topic - derivative of a function

Q: DO NOT include spaces in between characters. * Find an equation of the tangent line to the graph of ...

A: Given query is to find the equation of the tangent.

Q: 1 Evaluate lim (csc x)*- 2 X→- 2

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Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to...

A: Given query is to find the are of the region bounded by the curve.

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: Find the arclength of y 2x3/2 on 1 < x < 3

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Q: 6. - fycos ydy

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Q: Use the shell method to find the volume of the solid of revolution generated by revolving the region...

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Q: Find the area bounded by the parabolas (x – 2)² – 9py = 0 and y2 = 9p(x – 2). -

A: We need to find area bounded by two curves.

Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

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Q: DO NOT include spaces in between characters. * Given F(x)= f(x)g(x) and f(2) = -3, f'(2) = 4, g(2) =...

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Q: 2x + 4, a<4 om the following results, determine whether the function f(a) = { 8, a = 4 -x + 16 a 4 i...

A: Given query is to find function is continuous or not at x = 4.

Q: Find the compos Ite functions (f g) and (gn. What is the domain of each composite function? (Simplif...

A: We can answer all parts as below.

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: Cansider the function. x) - 3x - 8 And the Inverse function of r. Slep 1 Let y- 3r-8, then solve or ...

A: The given function is; f(x)=3x-8.

Q: -1 2. cos

A: 2.cos-1-12

Q: What formula would be used to calculate the middle rectangle approximation of Söy x +2dx using four ...

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Q: Which integral would represent the area shown below? The function is f(x) = 2x + 2. 8 6 4- 2- 0.5 1 ...

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