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Q: Question 2 Find all critical numbers of the function f(x) = sin²6x + cos 6x, 0<x<3. O T N 2x 36 0 9…

A: We have to slove above question Find the critical number of function

Q: Verify that the given differential equation is exact, then solve it. 10x 24y 16y 5x (3) dx + X y 4 X…

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Q: 4. Find the exact and the approximate value of x: 2* = 5*-1. Round answer to three decimal places. N

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Q: 2. Find dy/dx and d'y/dx² at the given point without eliminating the parameter : x = 6s², y=-25³ 3…

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Q: Skecth the graph find the area of the region a. r=a, a>0 b. r = 2+cos 8

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Q: (6x² - 4)² 24x dx

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Q: Differentiate the function with respe z' = Z A .6 yo + Bey

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Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 44 SS…

A: To sketch the region of integration, to reverse the order of integration,  and to evaluate the…

Q: Consider the function f(0) = 4cos2²0 + 4sine. (a) Find f'(0) = (b) Determine the critical points of…

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Q: Determine the volume obtained by rotating the area enclosed by y = x(2 - x) and y 0 about the line x…

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Q: Find the derivate of the functions: 2) F(x) = 5x²₂² f'(x) = f(x) = x²(x³²-₂) f'(x) =

A: Since, the student has mentioned to solve multiple questions with multiple sub-parts. But according…

Q: Which of the following could be the slope field for the differential equation B MAZZ ~~X1/17 71XSS…

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Q: Solve the differential equation. 2xy + 4x + (x² − 4) d (x² - 4) dy = 0 dx Mangle METALT TANG

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Q: Water is poured into an inverted cone (such as the one shown) Assume the cone's height h is four…

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Q: Two circles have the same center. The inner circle has radius r which is increasing at a rate of 3…

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Q: Find y' a) y = 2 tan (x) + 9 cos (x) y'= (b) y = 5 cos (x)= 4 x ² 'y'= c) y = y sin (x) = tan (x) -…

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Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of 3…

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Q: Question 3 Find the value of the derivative (if it exists) of f(x) = (x-2) 4/5 at the indicated…

A: The graph of f(x) is given.

Q: If a ball is given a push so that it has an initial velocity of 6 m/s down a certain inclined plane,…

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Q: secx dx tan" x

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Q: Without actually solving the given differential equation, find the maximum radius of convergence R…

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Q: Find the point on the graph of the function f(x)=(sqrt x) that is closest to the point (18,0) .…

A: The solution is shown below-

Q: The First Gate Upon arriving at the first gate, you ask your computer to translate the riddle.…

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Q: Find the cross product a x b. a =j+ 6k, b = 2i -j + 5k Verify that it is orthogonal to both a and b.…

A: The given vectors are: a=j+6k, b=2i-j+5k

Q: An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the…

A: We have given that height of the ball after t seconds is s=-2.7t2+30t+6.5

Q: A volume is described as follows: 1. the base is the region bounded by x = -y² +12y +7 and x = y² −…

A: Given that x=-y2+12y+7 and x=y2-24y+151we have to find volume of object

Q: Find fo go h. f(x) X g(x) = x³, h(x) = x + 6

A: Given :

Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. tan ¹ n A.…

A: Given;  A. an=tan-1n/n B. bn=Cosn.

Q: d) lim √2 - x X-2+

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Q: Determine if Rolle's Theorem can be ap- plied to f(x) = x² + 3x - 18 x + 3 on the interval [-6, 3],…

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Q: Identify the open intervals on which the function y=9x-18 cosx, 0<x<2pi is increasing or decreasing.

A: A function y=f(x) is said to be increasing in an interval a,b if for everyx∈ a,b, dydx=f'(x)&gt;0.…

Q: 30. Given g(x) = 4x² + 1, use the difference quotient to find the instantaneous rate of change when…

A: Given function:- gx=4x2+1

Q: Find equations of the tangent lines to the curve y = at the point (1, 0) int (e, ²) at the point y =…

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Q: 1. Find the limit limä→∞ (1 + 3 X 5x

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Q: Solve using the elimination method. 0.2x 0.5y = 1.1 0.5x 0.2y = 1.7 (Hint: Since each coefficient…

A: 0.2x-0.5y=-1.1.....(1)0.5x-0.2y=-1.7..........(2)

Q: Assume the functions below are continuous with domain all real numbers. (a) If f'(a) = 0, then x = a…

A: Given that:- The function is continuous with domain all real numbers

Q: Find the exact absolute maximum and absolute minimum of h(t) = cos(2t) + √3 sin(2t) on [0,1]. Show…

A: h(t)=cos(2t)+3sin(2t)for critical points, put h'(t)=0d dt(sint)=costd dt(cost)=-sint

Q: e + Ax = A= + cx Solve for y:

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Q: A company buys a machine for $275,000 that depreciates at a rate of 30% per year. Find a formula for…

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Q: Solve yy'= -(x+2),Y(0)=\

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Q: 3x³+1 f) lim x →∞0 4x³-1

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

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Q: Solve for b. Use all lower case letters. -(a + b) b = S =

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: 0 8x dx x4 -8x² + 32 X

A: To evaluate the following integral. ∫028x dxx4-8x2+32

Q: Consider the function f (x) = 4x - 3 on the interval [1, 4] using the Right Riemann sum with n = 6.…

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Q: cos x ln(sin x)dx

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Q: Assume that it costs a company approximately C(x) = 800,000 + 360x + 0.0005x2 dollars to manufacture…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The revenue (in dollars) from the sale of x units of a certain product can be described by R(x)=…

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Q: What is the x-value and y-value of the point of intersection of y=-3x+10 and y=2x-5?

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