2. Differentiate each of the following functions. Leave in unsimplified form. c) 2x+5 y=-x² d) y = xe-2x + 23x

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A: Given the function is:g(x,y,t)=2t-4√(x2-y2)

Q: :. Calculate the total amount of interest earned from this investment during the 4-year period.

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Q: 4. lim (9x + 1)² x→-1 In the following exercises (5-10) use direr

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Q: 3. √ √x² + 2x dx

A: Given integral

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Q: 8. Determine the equation of the tangent line to the curve y = -x² − 3x + 4 at x = 2.

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A: let

Q: Salue the trig equations on 040127 1+COSA = =

A: 1+cos(theta)=1/2, 0<=theta=<2piFind the value of theta lies in the given interval.

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Q: u = -9i+4j Find: -5u

A: u=-9i+4jFind -5u.

Q: The Cobb-Douglas Production function for a certain company is given by P(L,K)= 1400L ^0.7 K^0.3…

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Q: Compute the first partial derivatives of the following function. f(x,y)=4- tan¹ (9x² + 2y²) x=0

A: GivenTo calculate first derivative for the function   f(x,y)=4-tan^-1(9x^2+2y^2)

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Q: Determine the following product. [2 -2 5 2] 3 H = [ 1 ]

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Q: 7. Given f(x) = ax² + bx + c, determine the values of a, b, and c if: f'(x) = 6x + 3 and ƒ(2) = −1.

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Q: Consider the following piecewise defined function ae*-b, x < 0 ax² +b, 0≤x≤2 a(x − 3)³ + b(x − 4) +…

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Q: j(x) = x=5 X X 9. j(5) = j(x) 10. lim j(x) as x->5 = 11. j(0) = 12. lim j(x) as x->0 from the left =…

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Q: Consider the following. g(x) = X In(x)

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Q: If a is a nonzero real constant, what is the following limit? x3 a lim xa x a4 Does not exist 1 2a 1…

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Q: Which equation is the polar equivalent to the equation y = -√√3x? 0 = O 0 = Col 0 0 = 25 0 0 = 5T

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Q: Which slope field is associated with the differential equation given below? dy dx = 1-y Choose the…

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Q: 9. Given f(x) = x³ - 5x and its derivative f'(x) = 3x² - 5, find the equation of the tangent line to…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: Thanks for answering. That one was correct . Please could you also answer the second one?

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Q: 3. Determine vector and parametric equations of the plane with Cartesian equation 3x - 2y + z + 6 =…

A: Given equation is 3x -2y +z +6 = 0