Consider a function f(x) whose domain is a < x < b Given the graph of f'(x) answer the following questions.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Σ 2(3n 1) 6n + 4

A: The series is convergentsee below the calculation

Q: O »(x) = Given the differential equation y' = 8x + 4 y' and y (0) = 1 and its next few implicit…

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Q: Consider the points A(1,-5), B(-1,3) and K(4,-2) in 2D. A. Determine the vector AB B. Determine the…

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Q: L Sketch the plane curve by plotting points. Indicate the orientation of the curve. (Hint: Create a…

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Q: Based on the figure below, how many regions are involved? * x(t) h(t) -2 -1 1 2 3 4 None of the…

A: This is a problem related to number of regions in the sense number of interval for the given graph.…

Q: sing the four step rule, find the derivative of y = tan(x) %3D

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Q: Lagrange Multipliers Use Lagrange Multipliers to find the maximum and minimum values of f(x, y, z)…

A: Given f(x,y,z)=2x+y-2 ...(i)  subject to the constraint x2+y2+z2=.4....(ii) So the Lagrange function…

Q: 1. Three students were given the following problem: Unfortunately, we cannot make out the actual…

A: Three students were given the following problem.∫? dx Unfortunately, we cannot make out the actual…

Q: Compute the area enclosed by the curves. You must show your work. 1 3 y = x, y = x², X = 2 312

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Q: tan zdr

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Q: Given the function f (x,y) = which ONE of the following statements is CORRECT? x+y? O A. f is only…

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Q: Find an equation of the plane through (1,8, 5) that is perpendicular to the line x – 2 = 3t, y + 3 =…

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Q: What is the area of the region bounded by the graphs of y = æ and y = 2? Answer is in square units.…

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Q: Find the area of the shaded region Blank 1 Note: Enter exact answer ... x = Y 20 1000 y? 20 Blank 1…

A: Find your answer below

Q: Which among the following is an even function     x2 + 1     (x + 1)2     x2 + x     (x +…

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Q: 4. Determine the general equation of the plane containing the points P(1, –4, -5), Q(2,0, 13) and…

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Q: An investor bought stock for ​$50,000. Nine years​ later, the stock was sold for ​$70,000. If…

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Q: Consider a triangle ABC like the one below. Suppose that B=122°, a= 29, and c=59. (The figure is not…

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Q: sify whether f(x) is continuous or discontinuous at the point/s. If disco x – 2 x <-1 f(x) = { x² +…

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Q: There is a 4 km long straight beach. At one end, there is a boat anchored at A, 3 km off the beach.…

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Q: a) Determine whether the following differential equation is a type of linear equation or not, i.…

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Q: Given the function,y a +3x which of the choices is the correct second step based on the four-step…

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Q: Consider a triangle ABC like the one below. Suppose that a=57, b=71, and c=70. (The figure is not…

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Q: 8xー3x+x dx

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Q: Debra is on vacation at a tropical bay that has three islands. She rents a boat on Island A and…

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Q: Suppose (2,1) is a critical point of a function f (x,y)· If D=4x – 5y and f=x+y, XX classify the…

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Q: om the tank at a rate of r(t) = 115e liters per minute. How much oil le

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Q: dx Evaluate: xV x² + 4 None of the given choices +4 - 4 + C 1 4 V x< +4 + 4 x² +4 – 4 + C x<+4 +4 x²…

A: integration

Q: Complete

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Q: FREE RESPONSE Fictured below is a table of values that represents the graph of an exponential…

A: a) From the table we get take points: -3, 4.333, -2, 5, -1, 6. We plug them in the exponential…

Q: Find the derivative of the following functions and simply it whenever possible. 8. y = ln…

A: First simplify the given function then use chain rule of derivative.

Q: Evaluate the definite integral by choosing the appropriate substitution. You must show your work. 8T…

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Q: xdy- ydx 4. The exact differential what is the d 5. In the differential equation 2xydx+(y -x²ty =0,…

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Q: Express the given parametric equations of a line using bracket notation and also using i, j. k…

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Q: A frameless painting with a size of 2 meters by 2 meters hangs on the side of a wall where its…

A: Solution of the problem as follows

Q: Solve for a andb that makes the function continuous at every number in its domain f(x) = 2x+1 x5

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Q: 33 2Vx- f (x) (1–3t) (t³-8) T Sin sin 2x + Ve2x + 2x – In e, x + 1 - 1-x g(t) = t # 2 2-t

A: Given:

Q: PARAMETRIC EQUATIONS. Find the second derivative of y with respect to × from the parametric…

A: Question 4,Given,            x=1-t , y=t3-3tTo find : Find the second derivative of y with respect…

Q: 2 Integrating factors found by inspection.: fr-y+1tr-af²-y²-1ky =0

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Q: Evaluate the integral / | Vf. dr Vf•dr where f (x,y)=xy² and C is a curve from (1, 1) to (2, 3).

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Q: The motion of a particle is described by the position function s(t) = t3 - 12t2 + 36t, t > O where s…

A: Use the derivative for the finding velocity of the function

Q: 2. Let A = (1,0, 2) and B = (6, -2,3). Solve for proj, B.

A: As we know that; The expression for the vector projection B onto A is: projAB=B·AA2A   Given: A=1,…

Q: Given that Vf (3,-3) = 7i- 6j, find the directional derivative of the functionf at the point (3,-3)…

A: Given query is to find the direction derivative.

Q: Determine whether the following differential equation is a type of exact equation or not by using…

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Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t = 0 1 1 1 T(0) = V3'…

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Q: A particle moves along a straight line with its position given by s(t) = -8t2 + 16t + 1. Find its…

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Q: The h$(2x) sech (2x) dx is equal to sech (2x) sech (2x) +C. A. 1 3 10 B. None of the choices in the…

A: Solve the following

Q: Mountain officials want to know the length of a new ski lift from A to C, as shown in the figure…

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Q: Using the FOUR-STEP RULE, find the derivative of y= tan(x) %3D

A: Given query is to find the derivative of the expression.