Find the critical points and sketch the graph

Q: 222 = 456=_

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Q: Evaluate the integral: fe²* coshada Select one: a. ++C Ob. +C O c. 2¹+C -+0 Ⓒd.+²+C

A: Simplify it .. ∫ex(e2x/2 + 1/2)dx  ∫e3x/2 + ex/2dx e3x/6 + ex/2 + c  Option A is right.

Q: Evaluate f Select one: cosha -da cosh²a-1 a. -sinhr+C O b. -cscha+C C. O d. -coshr + C none of the…

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Q: б хрх ] Ґ

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Q: -0.05t Water is drained from a swimming pool at a rate given by R(t) = 20 e gal/hr. If the drain is…

A: We need to set up integral and evaluate it.

Q: (e) Sketch a graph of g(x).

A: We need to find horizontal asymptote and graph.

Q: The total revenue for a product can be calculated as the area under the demand curve. Suppose that…

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Q: Find y' 1. (x-y)2 = sin x + sin y

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: af For the function f(t, x) = sin (9лt + 4x), find at af at (Type an exact answer in terms of t.)…

A: topic - partial differentiation

Q: Let f(x) = ln(x² + 2x + 3) f'(x) =

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Q: please

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Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

A: Given :The sum of first number squared and second number is 51

Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g as…

A: We have to find out the domain and range

Q: Compute the derivative d/dx of the following functions: f(x) = x cos^2(4x)

A: The given function is: fx=xcos24x   As we know that; The Product rule: f·g'=f'·g+f·g' The Chain…

Q: If the sides of an equilateral triangle are increasing at a rate of 6 m/min. How fast is the area of…

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Q: dx √x²-4x+13 S.

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Q: 1. f(t) = (t5+t) (t³ - 4t+1) 2. g(x) = (+1)(3x - 1) 3. h(x)=¹

A: Topic:- function

Q: Given the triangle below, find the value of angle A to the nearest degree. angle A = degrees 20 A b…

A: Topic:- trigonometry ratios in triangle

Q: PROBLEM 3: 00 Consider the set S= = {A€M₂×3 ×3 (R): A = -[880] where a > 0, b>0, with the usual -0,…

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Q: 490 B

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Q: Solve the following problems showing detailed solutions.Draw the complete figures for each question.…

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Q: Let f(t) = 3t4 - 6t+ 3et. Then f'(t) =

A: To find f'(t)

Q: Consider the curve defined by the equation y = 5x + 3x. Set up an integral that represents the…

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Q: Solve the following problems showing detailed solutions. Draw the complete figures for each…

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Q: Given cost and revenue functions and C(q) = 115q + 31000 and R(q) = -3q² +2500q, how many items must…

A: Let's find how many items must be the company produce and sell to break down.

Q: 4 -3 -2 -1 5 4+ 3 2 1 -1- ea -3- 4+ -5- 3 4 domain range = =

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Q: Evaluate the equation f Select one: a. 0.5 b. -1 Oc. 2 Qd. 1 dzdy

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Q: Find the area of the region in the first quadrant that is enclosed by the coordinate axes and the…

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Q: Write the first four terms of the sequence {an} defined by the recurrence relation below. an+1=3an -…

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Q: f(x)= 2x x²-4

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Q: Let P be the point in 3-space with rectangular coordinates (√2, -√2, 2√3). (a) Cylindrical…

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Q: Find the volume of the solid generated by revolving about the y-axis the region bounded by the given…

A: First we should recognise the small volume dv and then integrate it between the appropriate limits.

Q: Find the partial fraction decomposition of 2 + 2x-8

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Q: Find the curvature of the curve F(t) = (cos(5t), sin(5t), 3t) at the point t

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Q: For each graph below, state whether it represents a function. Graph 1 4 2- Function? Function? -2 O…

A: We have to check the function

Q: Use substitution to find the indefinite integral. X 1²2* S= 4x² +2 X 4x + 2

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Q: 6. Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3. Then the area…

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Q: A balloon, leaving the ground 60 ft from an observer, rises 10 ft/s. How fast is the angle of…

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Q: The distance is (Type an exact answer, using radicals as needed.)

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Q: Find the derivative of the function f(x) = 3 ln(x) + e5ª. df = dx

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Q: Without using the graph, determine all critical points of e2x − 2x and classify them as local max,…

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Q: This is a weird polar graph question in calc II, I don't know how to answer it. If you can provide a…

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Q: Find the area of the triangle, to the nearest whole number, with a = 5, b = 6 and c = 9. 23 sq.…

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Q: Match each function with its derivative. y dy dx ха X a. cos x b. In a • a* ✓ax C. sin x - ✓sin x d.…

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Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

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Q: Use the geometric series f(x) = convergence of the new series. f(x) 8 1-x 1 Σx, for x<1, to find the…

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Q: Evaluate the following integral. 2 dx 16-x² 0 What substitution will be the most helpful for…

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Q: 8. dx (4x2-24x-27)3/2 S

A: We need to evaluate integral.

Q: Find the exact value. (a) sin( (b) arctan (-) (c) arccos (cos())

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Q: Find the volume of the solid under the surface z = × siny that lies above the rectangle R = [0,1] x…

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