#12- Fnd the indefinite integral of the follaung funchon and check the result by differentionion.

Q: The pencil holder is to have a base that has the same sides and a surface area of 100 cm. What…

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Q: | 4x sech x2 tanh x2 dx A) - 2 sech x² + C (в) 2 B sech x2 + C sech x2 +C C 2x D) 4 csch x2 + C

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Q: Follow the format of solution of the picture below and show checking.  348610 B2 B8 B16

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Q: 15 -8 -3

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Q: Activity 1.1 Evaluate the required function values and the indicated limits using the given graph of…

A: Here we have to find the values by observing the graph.

Q: ng integrals. 25

A: We have to evaluate of the given indefinite integral

Q: Find the indicated value. Use special angles, together with the fact that z is the period of the…

A: We have to find the value of cot

Q: Sx² e**dx 1.

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Q: b. Consider the graph of function f below. 1,5) (7,9) (-1,-1) (4.2) (1,-1) Complete the following…

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Q: 1.) Evaluate: S(2+ y²)²dy 2.) Evaluate: S 1+sinx xp-

A: To evaluate the indefinite integrals:

Q: Find the function f given that the slope of the tangent line to the graph of f at any point  (x,…

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Q: Write the complex conjugate of the complex number. Then multiply the number by its complex…

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Q: ax +3, if x<2 bx² +2, if x 22 f(x) =- It is given that f(1 and f(2) = 6. Find the value of f(a+b). O…

A: We will put all the values to find the values of a and b .

Q: Evaluate the integral using the following values. 9. x3 dx = 320, 9. dx = 4 dx = 16, %3D - 10x + 3)…

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Q: How much will a person pay for 4.5 pounds of bananas at a price of $2.29 per pound? alars. The price…

A: I am attaching image so that you understand each and every step.

Q: How much will person pay for 4.5 pounds of banana at a price of 2.29$ per pound?

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Q: Follow the solution in the picture below and show checking.  348610  B2 B8 B16

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Q: 1. Below you are given the graph of the function y=(1). Use the graph to answer the questions. a)…

A: Given the graph of the function y = f(x)  i.e. as we put the value of x in function we get value of…

Q: Find the Inetgral by substitution. 3x^5/sqrt(7-12x^6)

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Q: y = (x-p)(x-r) and p+r=6. Find the x coordinate of the vertex of the parabola. O a. None O b. 6 O c.…

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Q: 5. S(x): x +4 4 4 b. x2 + 16 a. (x + 4)2

A: We will find out the derivative.

Q: Find the exact area of the surface obtained by rotating the curve x = 2t² +÷,y = 8/t,1<t<3, about…

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Q: If A = 3 B = | J, c = ; ) II. [X1 X21 [x3 X4]' And X= Solve each of the following equations: 1. (d)…

A: Here we have to use the matrix operations.

Q: Write down a standard integral formula for the indefinite integral of tan x.

A: I hope you are asking for the derivation of standard integral for tan(x).

Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° WIN 4 150°…

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Q: The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: Let's find.

Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and æ = 100 is…

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Q: Given the area of the region enclosed by y = 2 – x´ and y =-x, identify the integral that represents…

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Q: Let f''(x) = 2x + 4 and suppose f'( – 1) = 6 and f(– 1) = 3. Find f'(x) = and find f(3) =

A: Given,            f"(x) = 2x + 4,           f'(-1) = 6,           f(-1) = 3

Q: Use the formula k(t) = r(t) × r"(t)|| ||r(t)||° to find k(t). r(t) = 7 cos(8t)i+7 sin(8t)j + tk K(t)…

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Q: Convert the polar coordinates (- 3, -4) to Cartesian coordinates. O (3/2/2, -3V2/2) (-3v2/2, 3V2/2)…

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Q: should i write it with variables like x = 11, y = 11, z = 4? but it says exact number, no tolerance.…

A: The answer has exact form. You will not have to enter the variables.

Q: 3. Give the parametric and symmetric equations of the line that passes through he point (4, –3, 5)…

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Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

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Q: 3920 - Sp22 5.4 A person's investment is expected to produce a continuous stream of revenue R of…

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Q: 4 csc" xdx 2.

A: We have to find out integral

Q: Find the area. a. Inside one leaf of the three-leaved rose = cos30

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Q: x =r' +1, y=r -t d'y d’y b) Find dx?

A: Given: x=t3+1 and y=t2-1

Q: Consider the following curve. f(x) = Vx2 + 2x - x Determine the domain of the curve. (Enter your…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: #13-Find the cost function for the morginad cost fixed cost of $6000 (for x -0) O** 70 X*-80 and

A: cost function = ∫ (dc/dx)dx cost function = ∫ x2/70 + 80dx cost function = x3/210 + 80x + k lets put…

Q: Scot'x csc'xdx 4.

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Q: 3. Determine the inverse Laplace transforms. (-2s + 5) -5s – 20 (b) f(t) = L ' 1(s² + 4) (s + 1) ]…

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Q: sẽ the point which shows the correct location for the polar coordinate (-2, 180°). 90° 2 4/2 135° 7…

A: point (-2,180) here -2 show radius of circle  180 is angle with x axis here one circle is 1 unit…

Q: 30+y 25+ 20 6, 18) 15+ 10 Find the area of the shaded region enclosed by f(x) = x3 + x2 - 6x and…

A: Explanation of the answer is as follows

Q: The x-intercepts of y = x2-4x-5 are: O a. (-5,0) and (1,0) O b. None O c. (-5,0) and (-1,0) O d.…

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Q: Given the polar coordinates (1, - 4), which of the following would represent the p ㅇ(1, 쫄) O (1, 7)…

A: Given query is to find the equivalent positive angle coordinates.

Q: For each of the following, solve exactly for the variable z. (a) 1 -+-. 0.3 (b) - +- 0.5

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Q: Find the arc length of the parametric curve. x = e', y = e, z = /2t; 0<t<7 L=

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Q: 3. Evaluate the following integrals: cos e OP (1+ sin 6) Vsin e G = H = sin (-9x) dr I +1 dr 1² In…

A: We have to find the integrals.

Q: Choose the point which shows the correct location for the polar coordinate (2, 57). 90 WIN 135 45 1…

A: We will use the concepts of Cartesian coordinates.