dx The only solution to evaluate is using algebraic substitution technique. 3+ A True B) False

Q: 1. Find the following derivatives: d E In (1 + In(t)) dt A P B = In (1 + In(t)) dt dr 1/a d E| In (1…

A: Given problem:-

Q: raluate each of the following indefinite integrals: Show complete and detailed solutions. Expr swers…

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Q: Given that cos A =-9/41 and that angle theta terminates in quadrant II, then what is the value of…

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Q: 9. xInx dx

A: Here , we have given a indefinite integral in which two functions are given now we will solve this…

Q: 3.1 e*dx Evaluate: (e**+1)/[e"+1)?-4

A: option A

Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

A: Given problem :-

Q: © J tane x*dx Using trigonometric substitution technique, the simplified integral after substitution…

A: sec2(x)-1= tan2(x)

Q: 2х + 3, х<I f (x) dx if f(x) = Evaluate 5, A 21 B) 19 28 D 16

A: We will evaluate both the integrals as following.

Q: Let f(x) = -72* + 59a² + 201¤ + 143 be the function graphed here. Click on the graph and expand…

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Q: Graph f(x) = e +2. Choose the correct graph. OA. Ay 4- OB. Ay OD. Ay Oc. Ay o 包

A: We need to choose correct graph.

Q: To begin evaluating sin*xcos xdx conveniently, express: 1 A cos x as (cos?x) ²cosx and use the Half…

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Q: The x² – 4 dx can only be evaluated using trigonometric substitution technique . A) True B False

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Q: sin5xdx – / sinxdx 2 sin2x cos3x dx=. A) True False B

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Q: x[cosh?(2x²) – sinh²(2r²) ]dx is equal to A xdx B xdx x²dx D None E dx

A: To find the given integral is equivalent to which integral.

Q: dx dx is converted to: 4+Vx By algebraic substitution, the integral - 2ydy y+4 B y+4 © [ vdy y+4 dy…

A: Given, u= ∫dx/(4+√x) We can solve it by substitution method.

Q: Evaluate: Je*cos(7e*)cos(4e*)dx. ④ 금Sn(3e)- sin(11e")+C sin(11e*) + C 22 A © -cos(ae)- cos(11e) +c…

A: The given integral,   ∫excos7excos4exdx

Q: Determine whether the series converges, and if so find its sum. 2k+3 5k+1 k=1

A: answer is in step 2

Q: Which of the following is one of the correct steps to evaluate cos3 dt to obtain the correct…

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Q: Use (8), (t) dr = e-1[ F(s) to evaluate the given inverse transform. (Write your answer as a…

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Q: C) = (" † ')- (,",) 'n + n _1. Show that :

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Q: Question 10 [i[cosh:(2x²) – sinh ( 2x³) ]dt is equal to A © Sude xdx E None

A: Integration

Q: In’t dt 1. 2(9–In²t)' 4 tan e sec ede tan0-2 tan 0-15 2 2.

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Q: x 3 Calculate the following values: n( – 6) = n( – 4) = - %3| п(3) — n( – 3) = n(4) = n(2) =

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Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 A sin(3e*) - sin(11e*) + C A 22 1 ⑥ 금sin(3e")+ Sin(11e") +C B 22…

A: We have to evaluate the above integral.

Q: o begin evaluating | sin“x cos x dx , express A sin*x to (sin?x)* and use the identity sin?x = 1-c…

A: Given query is to find the identity used to integrate.

Q: What’s the concepts of calculating the area of a region with subintervals of equal widths and…

A: The concept behind calculating the area of a region with subinterval of: a) Equal width- It is…

Q: What is the equation of the mean line of y=a sin(k(z – d)) + e? %3D O a) y = -a+c O b) x = c c) y =…

A:

Q: 0, and a root of multiplicity 1 at z =-5 The polynomial of degree 5, P(r) has leading coefficient 1,…

A: topic - polynomial

Q: Consider the following curve. y = x, 0sxs 3 Set up an integral in terms of x that can be used to…

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Q: Evaluate: 2ev/x+ 1) + C (A) ® =2ev(/x-1)+C B 2evx(/x-1) +C = 2ev(/x+ 1)+C

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Q: sec? ede 2. tan' 0+9 tan e

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Q: What two nonnegative real numbers with a sum of 50 have the largest possible product? The numbers…

A: We are asked to find the largest possible product of the two non negative number whose sum is 50

Q: For f(x,y)=-6x'y° : (a) Determine fx(x,y) . 6.6 Answer: -42x (b) Determine fy(x,y). Answer: -36x 7.5…

A: Given query is to find the Indicated derivative.

Q: Question 14 If we let 4=V5+x, the integral -1 is equivalent to V5+x

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Q: Insec² (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y A In…

A: Explained below

Q: 12

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Q: Question 10 Evaluate: Jev*dx. 2ev(/x+1) A +C 2 2ev/x-1) В + C C) © =2ev/x- 1) +c

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Q: The region is bounded by the curve y = 6x – x² and y = x² – 2x – 10

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Q: Question 10 Soviax. Evaluate: 2ev(/x+1) + C A 2 =2ev(/x- 1) + C © =2ev(/x+1) +c %3D 2ev(/x- 1) + C 2

A:

Q: If h (x) = cosxdx and h =4, then h (0) is equal to

A: answer is in step 2

Q: If h(x) = cosxdx and h =4, then h (0) is equal to 4 | (A) - 4 B None 3 D -3 (E 4

A: Explained below

Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = x +7…

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Q: By algebraic substitution, the integral - dx dx is converted to: 4+Vx 2 dy A y+4 2ydy B У+4 ydy (C)…

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Q: Describe the transformation of g (x) = 2f (2x +1)-1. O a) A vertical stretch by a factor of 2, a…

A: The transformation of function f(x): f (x) + b shifts the function b units upward. f (x) − b shifts…

Q: x*dx Using trigonometric substitution technique, | the simplified integral after substitution is: x²…

A:

Q: Evakate: fcos 2xdx cos2x, cos 2x +C A sin2x sin 2x B 6 +C sin2x, sin 2x +C 6 2 cos2x cos 2x +C D 2

A: To evaluate: I=∫cos32x dx

Q: Of all rectangles of area 100, which has the smallest perimeter?

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Q: (x+1)dx (x+2)(x- 1)2 A В C 1 dx ,the values of A & C respectively are 9. If + x- 1 (x – 1)2. x+2 3 A…

A: Solution is here   True

Q: In tan"u du where n is any integer, we use the transformation for tan?u sin?u cos?u

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Q: Sketch the graphs of two functions that have the given derivative: f'(x)=2

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