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

Q: 2x+3, x<1 f(x) dr if f (x) = 5, Evaluate -3 A 21 B 19 28 16

A: fx=2x+3,x&lt;15,x≥1

Q: " dt = - * kdt, where k is constant A) True B) False

A: The objective is to find the correct option.

Q: Question 6 To begin evaluating sin*xcos°xdx conveniently, express: A sin'x as (sin²x)²and use the…

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Explained below

Q: that

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Q: Draw a graph of sin 2x + sin 2(x + π/3). What are the period and amplitude

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Q: sing reciprocal substitution *= the integral - dx reduces t I dz -1) 13 -dz (z?– 1) 1/3 zp- D dz

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Q: Line L is perpendicular to the line 5x+2y-4=0. Find the slope of line L O a. 5/2 O b. -2/5 O c. 2/5…

A: We will use the concept If y=mx+c  is equation of line. Than m is slop of line.   If m1 and m2 are…

Q: sin'x cos x dx Evaluate: (1– sinx)²(1+sinx)² sin 10 +C 10 A sin8x sin 10x +C 10 B 8 sin8x +C 8 D)…

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Q: 12

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Q: Which of the following will yield an inverse trigonometric function?

A: answer is in next step

Q: 4+4 n i) The sequence { ") is bounded by 3 n ii) The 11 th. element of this sequence is

A: We will the upper and lower bound of the sequence and the 11th element of the given sequence as…

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

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Q: Find two unit vectors orthogonal to a = (-2, 1,2) and b = (-2, 0, 1) %3D Enter your answer so that…

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Q: 4. When the graphs of two functions intersect the angle of intersection is defined as the angle…

A: Slope of tangent

Q: x e' dx Using integration by parts to evaluate it is best to let (x+1)2"

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Determine if the following series is convergent or divergent: 8 n=1 3n2 + 4n + 5 O Convergent O…

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

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Q: Question 1 To evaluate sin 2r cosº2xdx conveniently, the formula identity to be used is/are A cos 2r…

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Q: In the year 2000, the population of a small city was 41,000. The population grows at a rate of…

A: 2037 -2000 = 37 =t at 2037 population growth is = 1300*e(0.03*37) population  growth= 1300e1.11…

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: dx X- eX -1

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Q: I. Write 2 – 7i in polar coordinates on the complex plane. - II. Find (1+ i)° using DeMoivre's…

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Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. 3 f(x) = 3x +x +x-4, k= - 1…

A: Find your answer below

Q: The decay of an isotope is given by A) Aea00047 where A is the amount of the isotope at time t (in…

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Q: For the function f, use composition of functions to show that f 1 is as given. 7x -7 f(x) = 7x+1,…

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Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = 4x -…

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Q: a.) S dx/x²+4x+5 b.) S(cscx – tanx)²dx

A: topic - indefinite integral

Q: S. (e3* + 1) / (e3* + 1)²– 4 Evaluate: e™dx e sec -1 6. 3x +1 -+C 2 A e +1 e 3r B sec -1 +C 2 C None…

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Q: 2. Set up the integral to calculate the area between the curves | (f(x)-g(x)) dx f(x) = x²+2x+1 А.…

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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

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Q: 2. Find the unit vector in the direction of

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Q: 3. .

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Q: In sine sin -1x os (sin-!x) + C cos V1-x? 1-x² A) True В False

A: To check:  ∫sin(elnsin-1x)dx1-x2=-cos(sin-1x)+C is true or false.

Q: 4tan e sec ede tan0-2 tan 0 –15

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Q: Write the expression as a logarithm of a single quantity. In(8) + In(x + 5) - 4 In(1 + Vx)

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Q: Question 9 x2 – 4 dx Evaluate: ,2 - 4 + sec C %3D В Vx2 – 4 + 2 sec® + C © =2/ x2 – 4 + sec -1 +C D…

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Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

A: We have to find the antiderivative of the given function.

Q: Problem 3. The softplus function is given by A2) = log(1 + e) A) Plot ſ(2) as a function of z. If…

A: (1) solution

Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

A: total card = 52 A = card is black face = 6  B = card is black = 26 P(A) = 6/52 = 3/26 P(B) = 26/52 =…

Q: Evaluate: Jevdx. A = 2ev/x+1)+C © - 2evã(/x+1) B + C © =2ev^(/x-1)+c

A: To solve the following integral

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

A:

Q: c.) S (4t²-t²+16t)dt/(t²+4) d.) S V1-cos*o de

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Q: Find the sum of the infinite geometric series 1 1 1 4 1 +.. 64 16

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Q: B C a A b Note: Triangle may not be drawn to scale. Suppose a = 10 and b = 7. %3D Find an exact…

A: Given : a=10 and b=7.

Q: Question 4 x2 dx Using an appropriate trigonometric substitution, the integral reduces to 1+x2 A)…

A: ∫x2x2+1dx

Q: The line in the direction of i −3j + 4k through the point (1, 0, −2).

A:

Q: f (#) = 2x-3 and g () = ; then (f – g) (z) = %3D %3D Das- 9) (z) = 2 5 | b(f- 9) (x) = 2x2-3x-2 2x…

A: Given query is to find the value of indicated function.

Q: Evaluate: Jcos 2xdx cos2x cos32х + C 6 A 2 sin2x sin32x + C 6 B 2

A:

Q: Question 11 Evaluate: (ed"+1) /Ted" + 1)?-4 3x A) None B sec -C sec D sec-1 +C E +C 2 Sec-

A: First we put e3x+1=t and differentiate both sides with respect to t and solve it.