The slope of the line below is -4 -3 -2 -1 5 4 3 2- 1 P -2 -3 -4 12 a

Q: Given f(x) = tan¯¹ (4x), find f'(x) in simplest form.

A: Differentiation

Q: © Find day if y= t ² +2²² +1 and x==²+2 4 dx2

A: According to guide line we do only first part of multiple questions.(6) Given,

Q: SOLVE THE FOLLOWING PROBLEMS AND SHOW YOUR COMPLETE SOLUTIONS FOR BETTER UNDERSTANDING. 2.. Solve…

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Q: Perform the indicated operation and fully simplify the result. 1 y + 1 y+1 1 y+1

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Q: Find the following indefinite integral. √²x² xaebxae(a+b)x ebx 0 - dx.

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Q: The equation of a curve be written in the form y = a(x-p)(x-a). The curve intersects the x-axis at…

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Q: A 1000 liter tank initially contains 200 liters of pure water. Contaminated water with a…

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Q: e+ dx Select one: O a. O b. O c. O d. O e. 4(x²-2x+2) · e¯X+C (x²-2x+2).ex + C (x²+2x+2).e¯X+C…

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Q: Consider the following figure. y = f(x) AN @ For each given x-value, use the figure to determine…

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Q: (c) √[³√x + ]dx

A: The objective of the question is to find the integral of the square root of the cube root of x. This…

Q: -3x - 2y = 7 -12x+py = −7 What value of p makes this system inconsistent? p=

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Q: Find the total area between the region and the x-axis. a. y = -x²2x, -3 ≤ x ≤ 2 b. y = 3x²3,-2 ≤ x ≤…

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Q: a) Find the simplified form of the difference quotient for the function f(x)=x²-x. b) Complete the…

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Q: The center and radius of the sphere with the equation (x-1)^2+(y+3)^2+(z-4)^2=81 are: Center=…

A: The objective of the question is to find the center and radius of the sphere given the equation of…

Q: 3. Using partial-fraction expansions, find the function f(t) of the following (a) (b) F(s) = F(s) =…

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Q: I DON'T UNDERSTAND THE BREAKDOWN FROM THE BEGINNING. IS THERE ANYWAY YOU CAN SHOW ME WITH ARROWS…

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Q: A movie theater has a seating capacity of 207. The theater charges $5.00 for children, $7.00 for…

A: Let x be the number of children attending movie theater.Let y be the number of students attending…

Q: do question d and E

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Q: discuss the continuity of the function on the closed interval.

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Q: do 2nd question as well

A: To find the equation of the line tangent to the curve  at the point  on the curve.

Q: 3. Find the set of all points (x, y, z) that are twice as far from (3, 2,0) as from (3,2, 6).

A: Suppose the set has a point   Plug into the distance formula:   and   is and   is

Q: The following is the graph of the function f. 6+ w 2 Domain: Range: 5 16 4 3 2 2 Determine the…

A: Need to find the domain and range of the given graph.Domain of the function:- The domain is all…

Q: The home range, in hectares, of a carnivorous mammal weighing w grams can be approximated by H(w) =…

A: Avegrage rate of change of a function f(x) on [a,b] is given by

Q: Differentiate the function. 4x²-7 y= 3 9x + 4

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Q: -2 -2 I (a) Does the limit lim f(x) exist? If it exists, evaluate it; if not, explain why. x-3 In…

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Q: d dx -2x+1 √²2+¹ +11 dt S=2x

A: f(x)=ddx∫−2x2x+11t+1dt

Q: Suppose that you are holding your toy submarine under the water. You release it and it begins to…

A: Domain of the function in the given graph is                    i.e. after 4 units time, the toy…

Q: The two curves below describe the numbers of people in two countries at time t, in years. Answer…

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Q: Find the average rate of change of g(x) = 8x² + 4 X4 on the interval [-2,4]

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Q: The region bounded by the curve y = x² + 1 and the line y = -x + 3 is revolved about the x-axis to…

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Q: 22. lim √x + 6 x 3 x + 2

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Q: (4) (4) 1. Solve the quadratic inequality. Report answer in interval notation. IM (a) x (x + 1) ≤0 4…

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Q: Find the surface area of that part of the plane 9x +3y + z =3 that lies inside the elliptic cylinder…

A: To findThe surface area of that part of the plane  that lies inside the elliptic cylinder The…

Q: 4. Find the area of the region bounded by curves f(x) = ax and g(x) = -b over [1, a]. xb+1

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Q: F(x) = {e^ X-3 OLX Find lim F(x) x 70 im f(x) x 70

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Q: Review the graph on the image. Then, follow the instructions also listed on the image. Please list…

A: Continuity

Q: The distance between the points P(4,1,0) and Q(3,5,2) is:

A: The objective of this question is to find the distance between two points in a three-dimensional…

Q: form into one log expression:  log4(64 x √644) + log4(46 + 43 / √256)2

A: To form one log expression.

Q: Sin (7x) Sin (3x)

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Q: Give numerical answers

A: The objective of this question is to calculate the line integral of the function F(x, y) along two…

Q: Find the value of the determinant D given by: a 6 3 d -4 D = c 6 9 9 where a = 2, b = 5, c = 12, d =…

A: The given determinant is

Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

A: Given graph of f(x)

Q: 1512 + 591825

A: Consider 1512 + 591825

Q: Find the exact solution(s) to the following equation. 2e²x=5e*-2

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Q: Find the indefinite integral. cos³130 sin130 Select one: O a. O b. O c. O d. - de O e. sin136 (3+…

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Q: The expression below has been simplified on the right hand side. What are the correct integer values…

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Q: Determine the dot product for the two vectors: x = ai+bj+ck and y = di+ej+fk where a = 4, b = 5, c =…

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Q: A toy company manufactures three types of dolls: small, medium, and large. The small dolls cost $3…

A: A toy company manufactures three types of dolls: small, medium, and large.The small dolls cost $3 to…

Q: 1. For the function f(x) = (x^2) - 36, evaluate f(x+h) 2. For the function f(x) = 6x^2, evaluate…

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Q: Find the derivative using the chain rule. ƒ (2) = √828 + 5

A: Given,