. 2 28x -15x dx 4x + 7. +C %3D

Q: tan²x dx, can be evaluated by using trigonometric transformation . A True False

A: The given integral is: I=∫sec5xtan2xdx Use the derivarive: ddx(secx)=tan2x

Q: Given the triangle 30 find the length of side x using the Law of Sines. Round your /36° 17° final…

A: Given,            The triangle is shown below :

Q: dy Vy+2 sinnx costx dx

A:

Q: Determine the equation of the tangent to the graph of y = [2~/x - x][1+ /x - x ] at the point (1,…

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Q: hich of the following choices do the alternative ways for writing an iterated triple integral match?…

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Q: find the rational number represented by the repeating decimal. 0.451141414

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Q: Find the Area bounded by the curves y² = x and x = 2y – y². %3D

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin (* + 0) in…

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Q: Consider a function () whose dertvative ') continuous as shawn below Graph of f'(x), NOT f(x) 1 5 -1…

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Q: Evaluate the following integral using Partial Fractions Method: x3 + x2 y = dx x² + x – 2

A: Let…

Q: Let a = 2i – 3j and b= 2j + 3k. Compute for the following: (a + b) · (a – b) None of the choices -8…

A: Here we have to find the dot product.

Q: Find al ales of that satsy th equation f(x)= g'(x) # f(x)=sin x and g(x)=cos x. 3mt x+kT, where k is…

A:

Q: (e) Suppose that the functionf is represented by the power series f (x) =1- +(-1)*. - -- +... 2 4 8.…

A:

Q: Evaluate (s 2 ds Oa.2 sln2-1) (In2)2

A: ∫ s· 2sds=2ssln2-∫2sln2ds=2ssln2-2sln22Add a constant to the solution=2ssln2-2sln22+C

Q: What is 2x4

A:

Q: | sinh54x cosh 4x dx can best be evaluated by General Power Formula. A True В False

A: Option A is true

Q: Evaluate the following integral using three different orders of integration. SSL:(x: – y') dV, where…

A: Here we have to evaluate the given integral.

Q: csc 2 5x cot 5x dx, can be evaluated conveniently using Trigonometric Transformation. ( A) True…

A:

Q: Q2) Convert the polar function r tan20 to cartesian.

A:

Q: а. Consider the functions y = 2u² + 3u and u = x². Find dx b. Find the derivative of the function…

A:

Q: x- 2 For the function f(x) = x-5 a. the graph of the function is until x = 2 only. O b. the graph of…

A:

Q: Q1: Find the integration of : (choose 3 only ) 1. Sc (3 sin x)cos (4 sin x). cosxdx Cos

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Q: 6.x'y 10. lim (х, у) — (0, о) 2.х* + y*

A:

Q: Find the equation of the tangent line to the curve y = 4x-8 at the point (3.-2).

A:

Q: Question 5 For what value of a is the function t-1, - 10<t<3 f (x) = t²+ 10t, 3<t<10 continuous? O…

A:

Q: Evaluate: Je* cos (7e*)cos (4e*) dx ® -co (3*) -cos (11e') + C -(-*)* sin (3e“) –sin (11e*) +c A 22…

A: The given integral,       ∫excos7excos4exdx

Q: 3. Given the functions f (x) = a? - 4, g (x) = Va+ 4, and h (a) = %3D %3D | x + 2 find the DOMAIN of…

A: Domain is the set of all values  for which the function is defined.

Q: 4. Find the Laurent series of the following function : f (z) = (z + 1)(z + 3) 1 region 2 < |z – 1| <…

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Ob.2 amom +C Evaluate +Vrdx Oa.5 2 5 3 2 Oc 2 wn +C Od 3 +C 2/3

A:

Q: (a) Given a vector A =-i+ 2j – 2z in Cartesian coordinates, (i) sketch vector A, (ii) find its…

A:

Q: Find y' if ey+y²=2x. yey – 2 y'= хе + 2у хе + 2у y'= ye – 2 хе*У + 2у y'= 2 – yey 2 – ye y'= хе*У +…

A:

Q: e1/n n2 n=1

A:

Q: 12t – cos 31) dt sin7t sin4t dt = A True B False

A:

Q: Is Rolle's theorem valid for the function f(x) = V1- a. Yes. It is valid in this range b. No. It is…

A:

Q: Question 18 Consider Evaluate O (9x4+6x)e (x3+y2) O (3x²+6x)e «³+y?) O (6x²+ 3x)e «³+y?) O (6r*+9x)e…

A: Topic = Derivative

Q: csc ² 5x cot 5x dx, can be evaluated conveniently using Trigonometric Transformation. A True B)…

A:

Q: 1 et dx 1 (1 — е*)2

A:

Q: el-vidx

A:

Q: Calculate the derivative by expanding or simplifying the function. 1 – 2(19t) s(t) = (19t)1/2 (Use…

A:

Q: A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except for…

A: Follow the procedure given below.

Q: Find the derivative of f(x)= (Inx Oa 6x(Inx Ob. 4 inx Oc 12(in a Od 24(inx

A:

Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

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Q: | cos ?x sin'x dx can be evaluated by factoring sin'x as (sin²x) ²sinx and transf sin²x into 1-…

A:

Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

A: Here, the volume formula is given by: V=∫012πy(g(y))dy=2π∫01y13y-13y2dy

Q: Consider the region bounded by the curve v= x2 - 1 and the x - axis over the interval [0,3]. Find…

A: The equation for the x-axis is y=0. Draw the given two curves.

Q: DO NOT include spaces in between characters. * Using implicit differentiation, find the slope of the…

A: We can solve this as follows:

Q: Consider the region bounded by the curve v= x2 – 1 and the x - axis over the interval [0,3]. Find…

A:

Q: Evaluate f Vr+ V?dx Oa. 3 am +2) +C (V2) +C can) Ob. 2 am +2) +C 30 om +C (25) Oc 2 an +m) +C O d. 5

A:

Q: sin7t sin4t dt =- 121 – cos 31) dt A) True B) False

A: