Differentiate the following function. f(x)=9-4x+5ex f'(x) =

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A: A manufacturer of lighting fixtures has daily production costs of C = 800 - 30x + 0.75x2, where C is…

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A: Find Slope of tangent  at x = -1

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A: In this question, we will find the limit.

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Q: 3.)

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Q: 1) Find the general solution of the following differential equation y" - 6y +9y = 0

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Q: Q1: Find x(t) = ? for the following Differential Equation [x(t) + 2 x(t) = 10], where x(0) = 2.

A: x'(t)+2x(t)=10x(0)=2

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Q: EXAMPLE 5 If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional…

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Q: find the derivative a. f(x)= (x^6+1)^5 (4x+7)^3 b. 4(3x-1)^2 / x^2+7^x

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Q: 5. T/2 Consider f/² secx tan x dx. (a) Explain why this integral is improper. (b) Determine whether…

A: I=∫0π/2sec⁡xtan⁡xdx

Q: Evaluate the following integral. 1/5 1.1 0 x tan¹ (5x)dx

A: To evaluate the following integral.

Q: Find the derivative of the function. Simplify where possible. y =cos'' (e²)

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: If f(x) = ²x² √t+3 dt, what is f(x)? 0 Select one: a. 1 2x³ +3 b. √√x²+3 c. 3x²√√2x³+3 d. 6x²2x³+3…

A: ..........(i)Comparing this with We get,Put t=a=0Similarly, Put t=b =

Q: Derivative Rules: 1. Power Rule: (2) = n -1 d dx Special Case of this: 4. Quotient Rule: 2.…

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Q: 00 Consider the series Σ (19x)" n=0 (a) Find the series' radius and interval of convergence. (b) For…

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Q: H.W// solve the following equation: 1. y"-4y' +7y=0.

A: y" - 4y' +7y =0auxiliary equation is given by m2-4m+7=0.

Q: (a) y = x³+3* - 1 3√x + 3 csc (3). (b) y = a + bx² x4

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Q: ould you draw a diagram

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Q: 14- 10 8 6 4 2 TO -B -10 810

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Q: Find a formula for the nth term of the following sequences: а (a) ... an (b),,,... bn Assume a…

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A: The function is given byTo determine: The approximate value of the rate of change in  at

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Q: -3 -2 3 2 1 -1 -2 -3 1 2 3 Use the graph of f(x) above to estimate the value of fƒ'(0) to one…

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Q: Find F'(x) given S*** (6u + 4)du. Select one: a. b. C. d. e. F'(x) = 6 F'(x) = 4+6u F'(x) = 4 + 6x…

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Q: Find the arc length of the curve on the given interval. Interval Parametric Equations x = 7t + 5, y…

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Q: Find the length of the curve 3= + e), Setup the integral. dy 2 ° ² - [ √ - - - _ ) « - / √ - + [ } @…

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Q: Find the arc length of the graph of the function x = (y² +2)² over the interval 0 ≤ y≤5.

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Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = -2…

A: To find the intervals on which  is increasing and decreasing.

Q: Choose the correct graph below. OA. G OB. O C. Q O D. Q

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Q: Find exactly the relative extrema of the function (a) Find X-coordinate of relative minimum point. X…

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Q: 3. Solve. 2 즐기 3 - X - 5 > 7

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Q: The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)…

A: The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)…

Q: 4. Find bound on the error Trapezodol Rule Simpsons Rule S_₁x dx;n=10 X -1

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Q: (c) y = e-a sin(ax + 3). (e) y = tan(5x) 52+1 (d) y = a √a² + x²

A: (d/dx)(af(x)) = a(d/dx)(f(x)) , where a is constant. (u.v)' = u.v'+u'.v (u/v)' = (v.u' - u.v')/v2

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Q: Find the directional derivative off at the given point in the direction indicated by the angle 8.…

A: Consider the function