If f(x) = e*sinh x, what is f'(x)? e*(cosh x- sinh x) O Option 1 Option 2 e*(sinh x - cosh x) 2e2x Option 3 Option 4

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A: topic - derivative of a function

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A: Given  that y=xe-4xSolution :if d2ydx2<0 then concave down.

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Q: Activity Test your understanding. Write TRUE on the space provided if the statement is correct and…

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Q: Differentiate. f(x) = - 2 e -X t'(x) = ]

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Q: nsider the following. u = (-9, -3, -7), v = (-4, –5, –1) (a) Find the projection of u onto v. 58 42…

A: Given : u=<-9,-3,-7> and v=<-4,-5,-1>.

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Q: Find dx and simplify whenever possible. 1-cosh x 1. у 3D 1+cosh x 2. y = x tanh¯x + In V1 – x²

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Q: 2x

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Q: AVERAGE VALUE OF A FUNCTION QUESTIONS A. 3x2+4x-7, [-2, 5]

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Consider the function  f(x)=4/x^2−3/x^5. Let F(x) be the antiderivative of f(x) with F(1)=0. Then…

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Q: Which of the following is a value of tan 0 if V3cos 0 - sin 0 = v2? -V3 + 2 V2 + 3 O Option 1 O…

A: Given  3 cos θ - sin θ = 2 We have to find the value of tan θ.

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Q: | sin'x sin 2x dx

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Q: Select

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Q: The shaded region shown below is bounded by the functions f(x) = -3x2 + 8 and g(x) = 0.5x + 6 and…

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Q: 2. 30e-3*(1+ e-3x)5dx

A: We need to evaluate integral.

Q: Where is the function decreasing? * (-1,3) (-2,1) (0,1) O (*-1) O (*, *) O (-1, ) O (-*, 3)

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Q: Question 8 Use a difference identity to prove than tan(0 + 1) = tan(). PENCIL THIN BLACK V

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Q: 13n Illustrate and find the smallest positive coterminal angle of 3.

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Q: 'ind the exact length of the curve x = t sint y = t cos t or 0<t< 1. ou may use the following result…

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Q: Consider a right pyramid whose base is an equilateral triangle of side 4 cm each. If each slant edge…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Find the sum of the critical numbers of f(x) = 3x4 - 4x3 + 2.

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Q: :- 3) y cos 20 2 1 3 a: b: Period: C: d: Phase Shift: 21/3 downi

A: Find your answer below

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: To find out the directional derivative.

Q: Vx- 2 Evaluate lim x-8 x2-7x-8 O 2/7 None of these O 1/9 O 1/12 O O o O

A: The given limit,     limx→8x3-2x2-7x-8

Q: nn - 1(x) dx n + 1(x) dx wing. of the following is correct for odd powers of sine. 5....n · 2n 2n…

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Q: Select from multiple choice and fill in the blanks

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