Find all critical points of h(t) = t³/4 - 2t¹/4 and identify them as local maximum points, local minimum points, or neither.

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A: NOTE: Refresh your page if you can't see any equations. . the first plane is  the direction vector…

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Q: + 6x 3. Let g(x) = (a) Draw a secand derivative sign diagram of for 9. up, and find the xe Cho find…

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A: Topic= Derivative

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A: Given,

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Q: Suppose you know that: What is lim an? What is 816 ******* an-5. Let Sn be the n-th partial sum of…

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Q: Consider the following. y = -x³ + 4, -x² + 4x, X ≤0 X>0 Find the critical numbers. (Hint: Check for…

A: Given: y = -x3+4,      x≤0-x2+4x,    x>0 To find the critical number.

Q: 4. √e³x - e²x dx = 3 A. ² (ex - 1)² + C < B 3 B. (e³x - e²x) + C 2|32|3 C. 2/3 3ex - 1 √2 3 D. ²/7…

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Q: The graph below is the function f(x) -5-4 3 -2 -1 Find lim # 2 3 2 1 12 -2 -3 Y f(x) Find lim f(x)…

A: Condition of continuity at x=a limx→a fx=fa

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A: Here the functions are The area is given by

Q: Consider the curve defined byy³ + xy + e³-¹ = 7. Use implicit differentiation to find y' and find…

A: The given curve is;  y3+xy+ey-1=7, (5,1).

Q: Continuity and differentiability are important conditions in many theorems in Calculus. One such…

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Q: If f(x) and g(x) are continuous functions and use the table below to evaluate c'(-2). x f(x) g(x)…

A: Use the chain rule of derivative and put the value from the given table.

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

Q: Find u xv, vx u, and v x v. u = 5i + 6k v = 2i + 8j - 3k. (a) u xv (b) vxu (c) vxv 0

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Q: If sin (0) = cos(0) = - 809 and is in the 3rd quadrant, find cos(0) APA FORMELE CHARA

A: given Sinθ=-89

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Q: Evaluate the integral. (Use C for the constant of integration.) [Car dx (arcsin(x))²

A: Please see the below picture for detailed solution.

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Q: Write the equation of the parabola y = x x² - 6x +14 in vertex form y - k = (x − h)² -

A: y=x2-6x+14we  know  (x-3)2=x2+9-6x

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Q: Prove by strong induction that root of 2 is irrational.

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Q: An object of mass 5 kg is released from rest 1000 m above the ground and allowed to fall under the…

A: Given: Object mass =5 kgreleased from rest =1000 m aboveproportionality constant =50 N sec/m

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A: Take the derivative of x and y with respect to theta then take the ratio to get the velocity.

Q: (a) Show using the product rule that [f(x)g(x)h(x)]' = f'(x)g(x)h(x) + f(x)g(x)h(x) + f(x)g(x)h'(x)…

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A: Compute the product 6-1-31534013=?

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Q: Use the form of the definite of the integral given in Theorem 4 to evaluate the integral. (You can…

A: Given: ∫153x2+7xdx

Q: For each of the indefinite integrals below, choose which of the following substitutions would be…

A: For each of the indefinite integrals below, to choose which of the  following substitutions would be…

Q: The graph of a function g is given. g(-2) = g(5) = -4 domain range + X = -2 (a) Find g(-4), g(-2),…

A: Note : according to our guidelines i can solve only first three parts of the question please reroute…

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