Find f(x) if y = f(x) satisfies dy dx e¯½ f sin x and ƒ (7) = ²/

Q: Find the derivative of the function. g(0) = (cos(70))4 g'(0) = || X

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: For a standard normal distribution, find: P(-1.29 Z-1.07)

A: The given probability .The aim is to find the value of the probability using the standard normal…

Q: The graph of a derivative f' is shown to the right. Use the information in the graph to determine…

A: The graph of is shown below.To determine where the function  is increasing or decreasing and to…

Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: Suppose that an airplane flies along the path r₁(t) = (2t, 2t², 10e-t) and a skydiver takes the path…

A: Given that the an airplane flies along the path  and skydiver takes the path  for

Q: Differentiate the following: (a) x² cos(cos(x)) (b) eesin(x)

A: These are different  question  and not sub part of one question,  so we have solved first 2…

Q: Find the area enclosed by the given parametric curve and the y-axis. sin²(t), y = 4 cos(t) X = y 4 2…

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Q: 2.21 A mathematical model describing the state of a learner y(t) at time t while learning a specific…

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Q: Given the vector = (2y, 5x, 0), the curl of = 7 Give your answer in terms of the unit vectors i, j…

A: Consider the vector v

Q: Find the derivative of the function. log4|(3x²-2x) 5/21

A: y=log4⁡|(3x2−2x)5/2|

Q: 4. Three large tanks contain brine, as shown in the figure below. pure water 4 gal/min A 300 gal B…

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Q: 1. Differentiate: y = 3(²-1) A. (In 3) 3(x²-1) C. 2x (In 3) (3x²-1) B. (2x) 3(x²-1) D. x²(In…

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Q: Question 6: For each of the following functions f, find its natural domain. (a) f(x) = 22-2-3 (b)…

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Q: Consider the following. Find y'(x). y'(x) = y = X = X x² +9 Find the critical numbers of y(x).…

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Q: Seperate the variables and solve the equation (dy/dx)=-e^(x-y). Use the initial condition x=0; y=0…

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Q: 23-28 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and…

A: (a) To find the intervals on which f is increasing or decreasing, we need to analyze the derivative…

Q: Solve for x. X X -32 = -20

A: |xx−32|=−20

Q: Find the derivative of the function. y = (tan-¹(7x))² y' =

A: y=(tan−1⁡(7x))2Take derivative.y′=ddx((tan−1⁡(7x))2)Use the derivative rule:…

Q: 1. Using the fundamental theorem of calculus part 1, along with properties of the definite integral…

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Q: Find the upper and lower sums for the region bounded by the graph of the function and the x-axis on…

A: To find the upper and lower sums for the region bounded by the graphof the function and the x-axis…

Q: Find the indicated derivative. dy ax for y=x® |ě

A: we need to find out the derivative of the given function.

Q: Find the derivative a. f(x)= (e2x+e)1/2 b. f(x)= ex(x2+3)(x3+4)

A: (a)  given,

Q: The temperature at a point  (x, y)  is  T(x, y),  measured in degrees Celsius. A bug crawls so…

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Q: A golf ball manufacturer knows the cost associated with various hourly production levels, given…

A: Production cost for golf balls is given as,

Q: y = xer

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Q: 5. Let f(x, y, z) = x²e + ay³ + az + 115. Find fyzz (b) Find 8³1 əxəydy'

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Q: Let g(x) = ² + 12 Ax² + B (x²+12) C A = B = C= = D = E = F = g"(x) = x(x² + E), where (+²+F)G where…

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Q: C T 3 2 1 To find the blue shaded area above, we would calculate: b So f(x) dx Where: 1 2 3 4 f(x) =…

A: We have to use the graph to find the integral substitutes and area  under the graph

Q: 8. Consider the gradph of the function f(x, y) = x² - 5xy given by z = x² - 5xy (a) ( (1,2). Find an…

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Q: Use Rolle's Theorem and a proof by contradiction to show that the function f(x) = 6x³ + 4x - 11 does…

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Q: y = (cos 7x)x

A: y=(cos⁡7x)x

Q: Let f(x) = 2x + 3 and g(x) = -3x - 6. Compute the following. (a) (fog)(x) (b) (fog)(9) (c) (gof)(x)…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: 47. Determine whether these statements are true or false. a. b. C. dx O True O False dx True O False…

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Q: Find the derivative of the function. y = cos( cos(√sin(tan(7x))) y' =

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Q: f(x) = -8x + 1 x-1

A: f(x)=−8x+1x−1

Q: You will integrate the following rational function: -5*²+*+13 da (*-1)² (+2) To do this, start by…

A: To evaluate the integral

Q: 2. Given the following tetrahedron, name the following: a. Vertices b. Edges c. Faces

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Q: For the following integral, (a) sketch the corresponding area, (b) approximate the area using the…

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Q: Show that the function y= x ln x is a solution of the differential equation xy" - y' + (1/x) y = 0.

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Q: Profit The profit P (in dollars) made by a cinema from selling & Bags of popc x² 28,000 3,300, 0≤x≤…

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Q: (a) Decide on a trigonometric substitution to use. atant 84 de=asec Codo /₁ de in terms of 6 and de.…

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Q: Find a graph up and down from the equation g (x) = (x + 1) (x-2 )

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Q: Consider the following. A = Convert the iterated integral to polar coordinates. A B S^L. ( Jo Jo B =…

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Q: The radius of a right circular cone is increasing at a rate of 1.2 in/s while its height is…

A: given

Q: Given that (fog)(x)=x-8, which are correct rules for f(x) and g(x) that result in this composite…

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Q: A semicircle of radius r = 5x is inscribed in a rectangle so that the diameter of the semicircle is…

A: Consider the figure

Q: Complete the table to find the derivative of the function without using the Quotient Rule. Simplify…

A: Rewriting expression

Q: Find the exact average value of f(x) = rlnr on the interval [1, e] (do not approximate).

A: The average value of function f(x) over the interval  is The given function is