Question Given h(x) = tan(-x² + x), find h'(x). Sorry, that's incorrect. Try again? h'(x) = (2x - 1)( tan (x² − x)² + 1)

Q: Use the graph to evaluate the limit. lim f(x) X→0 6 Ay

A: Consider the graph

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Q: Find a formula for the general term an of the sequence, assuming that the patterm of the first few…

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Q: (a) The variable g|--Select---by (b) The variable g-Select---by Complete the following sentences.…

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Q: Question 14 You have been given the following signal (shown below). What is its laplace transform?…

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Q: If x³ + y³ = 2, find the value of d²y dx² at the point (1,1). The value of at the point (1,1) is d²y…

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Q: As a preparation for the long bright summer days, Dr. Acula plans to store gourmet plasma in closed…

A: We have to use the concept of derivatives

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: 3 40 32 24 16 8 4 5 Evaluate the definite integral * 3 6 (4x + 10)dx =

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

A: Given,

Q: Find all solutions of the equation in the interval [0,2+). 2 sin 20-3 sin 0+1=0

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Q: (5) Are there other shapes that would hold the same volume yet have even less surface area? Let's…

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Q: As with discrete-time dynamical systems, equilibria can act strange when the slope of the…

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Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.003t² +0.2t, where…

A: Given that in a memory experiment the rate of memorizing is given by  ,where M'(t) is the memory…

Q: 3) Use the method of Lagrange multipliers to find the points on the curve x²y = 2 nearest the…

A: The given equation of curve is Let the point  on the curve which is closest to origin

Q: Find a parametric representation for the part of the cylinder y2 + z2 = 64 that lies between the…

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Q: 2. For f(x)=√14-2x (a). find the domain. Write your answer in interval notation. (b). Graph…

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Q: 45-74. Definite integrals Use a change of variables or Table 5.6 to evaluate the following definite…

A: According to the bartleby guide line we do only first part of multiple questions.(46) Let assume,

Q: When Abraham jumps into the air, his height in feet above the surface of the water is given by h =…

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Q: Suppose the equation 1 300 y = - 2.2 models the height of an arrow where is the horizontal distance…

A: Suppose the equation,  models the height of an arrow where x is the horizontal distance in feet…

Q: Determine the integral by making the appropriate substitution. √9(x-1) 9(9x-10)' 'dx

A: To determine the following integral by making the appropriate substitution.

Q: Find y'' if y=-8 cos x. OA. y'=8 sin x OB. y'= -8 cos x OC. y'= 8 cos x OD. y'= -8 sin x

A: Explaination of answer is as follows

Q: 3 x¹ +1 dx

A: The given integral is (x4+1)/x2, limit from 1 to 3.

Q: Evaluate the definite integral a) Find an anti-derivative [2√ada 6 [2√æda 0 b) Evaluate 6 [2√ada = =…

A: To evaluate the following definite integral.

Q: hich of the following integration formula is incorrect? O I sin x + I see 2 x² +1 sec² x cot x csc x…

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Q: a(x,y) Solve the system u = x-y, v = 2x + 3y for x and y in terms of u and v. Then find the value of…

A: The system of equations  and   The function for x in terms of u and v is The function for y in terms…

Q: 5. Example: The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the…

A: A graph of the functions  and  are given.The aim is to find the following,(a) (b) (c) Note:  Since…

Q: 17. The amount, A, of 108 grams of a certain radioactive material remaining after years can be found…

A: Given that the amount A of 108 grams of a certain radioactive material remaining after t years is

Q: At time t, the position of a body moving along the s-axis is s=13-1512+72t m. Find the body's…

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Q: Find a parametrization of the line in which the planes x+2y+4z=-4 and 2x+3y+6z= -7 intersect. Find…

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Q: Find the derivative of the function. s= sin O A. О в. Злт 2 32 Зл 2 COS Зл OD. cos COS 0 с. COS 2…

A: Given data

Q: If f(x) -6₁² = 2 f'(x) =| t³ dt then

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Q: 3. g(x) x² +5

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Q: A jewelry box with a square base is to be built with silver plated sides, nickel plated bottom and…

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Q: Find a, b, c, and d such that the curve y=ax^3+bx^2+cx+d has its tangent line at (1, 1) and at (0,…

A: To find such that the curve  has its tangent line at(1, 1) and at (0, -2) are parallel to lines…

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: Determine the integral by making the appropriate substitution. √ 2x (x² +17) 3³ dx

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Q: Start with the graph of the appropriate basic exponential function f and use transformations to…

A: The given function is

Q: Find the area between the graph of f(t) = -2t for 0 ≤ t ≤ 4 and the t-axis using areas of triangles.…

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Q: Question 2 Drug sensitivity. One hour after x milligrams of a par- ticular drug are given to a…

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Q: Find the domain of f(x). ƒ(x) = √6x + 6

A: Given that a function of f(x) and we find the domain of the f(x).

Q: Find an antiderivative of the function p(t) = t³ - 2 I t.

A: p(t)=t5−t42−t

Q: sinh(x) = 314

A: sinh⁡(x)=34sinh⁡x=12(ex−e−x)

Q: Find the area of the region enclosed by the curves between their intersections. y=x² and y= 2x

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Q: Describe the given set with a single equation or with a pair of equations. The plane through the…

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Q: Find the area of the region bounded by: p2 = 72 cos 2

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Q: Match the graph of the function on the left with the derivative on the r 1. a. 2. 3. 4. -10 10 -10…

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). Select the correct answer…

A: A graph of the function  is given.The aim is to sketch the graph of the derivative function.