Find xer2 dy if dx = y sin x 1-

Q: 2t³ = A particle moves along a straight line and its position at time t is given by s(t) s is…

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Q: 3. Use the limit definition of the derivative to find the derivative of the function. a) f(x) = 2x²…

A: Given query is to find the derivative using definitely.

Q: 3 Let f(x)=x* — x³. Determine the intervals where the function is - increasing/decreasing and…

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Q: x²-9 lim x-3 x-3

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Q: 1- Use the shell method to find the volume of the solids generated by revolving the shaded region…

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Q: Find the equation for the plane through the points Po(1,4,-3), Qo (5,5, -1), and Ro(-2,4,-5 The…

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Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Let P be the population after t years

Q: {CLO-1} Find the values of a and b such that the following function is continuous everywhere. ax²-a…

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Q: (CLO-1] The graphs of functions f and g are given below. अ y = f (x) 4 1 -2-4 -2 -3 4 Evaluate the…

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Q: Use linear approximation, i.e. the tangent line, to approximate √25.2 as follows: Let f(x)=√x. Find…

A: Linear approximation for fx=x at a=25The linear approximation of the function fx at point a is Lx =…

Q: Given r = 1 - 3 cos 0 find the following. Find the area of the inner loop of the given polar curve…

A: Given that a curve       r  =  1 -3cosθ                                   first we'll need to…

Q: (CLO-3) Find the absolute maximum value of the function f(x)=x³-12x+3 on the closed interval [-4,3].

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Q: 0 Convert the following polar equations to Cartesian form and identify its graph. a.) r = 2 (3 cos +…

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Q: 3. Compute f(x)dx 2x f(x) = { 4 if x < 1 if x 21

A: Evaluating the definite integral by splitting the integral at x=1

Q: his question is designed to be answered without a calculator. se the three functions shown. 1. f(x)…

A: Topic:- function

Q: 3. Suppose a function H(t) is given and that this function describes the height H of a projectile t…

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Q: 8. Evaluate z (9x² - (0x+6) dx

A: As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C And…

Q: Find the length of the curve for 12x = 4y³ + 3y-¹ where 1 ≤ y ≤ 3 Enter your answer in exact form.…

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Q: The function f is defined by the power series X f(x) = X +-목 3 5 7 for all real number X for which…

A: Let's find interval of converges of given power series.

Q: {CLO-3} The critical number(s), if any, of the function O -1. 12.2 01/14 2 O 0, 1, 2 O There is no…

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Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: Find x' for x(1) defined implicitly byx+x+1-9=0 and then evaluate x' at the point (-2,1). x-2.1)…

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Q: (CLO-3] The second derivative f(x) of a function is given. Use this information to find all values…

A: The second derivative f''x of a function is given. By using this information to find all values of x…

Q: Use the by revolving The C Type an 4 S 3. to the nearest AY N Ə Shell Method the shaded is Cubic…

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Q: A drag racer accelerates at a(t) = 96 ft/s2. Assume that v(0) = 0 and s(0) = 0. a. Determine the…

A: To find out the distance/position function.

Q: The general solution of y" + y = sec x tan x

A: Given problem:- The general solution of y" + y = sec x tan x

Q: 2. Find the general solution o- = y(1+e³) 1 له 342433434 11 11 1 "싫

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Q: d) Find s' (t) for the function. s(t) = 3t² + 5et

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Q: Evaluate the following integrals: O • (Cartesian to Polar) Civen the cartesian coordinate, find of…

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Q: 3) Grandparents place a continuous stream of $1,000 per year into a college fund which has a…

A: As per our guidelines we are advised to solve first question . Please upload other questions as a…

Q: 3 − 4 + 16 - 64 + ...

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Q: Suppose that sin(θ)=4/8. What tan(θ)=______.

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Q: 11. Find the limit using algebraic techniques. The limit of f(x) = -4 O- 0 O=¹ x+4 2x²+5x-12 as x…

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Q: This question is designed to be answered without a calculator. (10¹ x) = (In x)10¹n x-1 O (In…

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Q: 2) Calculate the area, in square units, bounded by f(x)=10x³ +8x² −17x-4 and g(x)=9x³ +10x² - 2x-4…

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Q: Evaluate the following integrals. 0 (Cartesian to Polar) Civen the cartesian coordinate, find FOUR…

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Q: A force of F(x)=x²-cos(3x) +2, x is in meters, acts on an object. What is the work required to move…

A: Given force f(x)=x2-cos(3x)+2

Q: T Find the linearization L(x,y) of the function f(x,y) = ex cos (5y) at the points (0,0) and 0, The…

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Q: Consider the following series, (x - 2)" Σ n5 + 1 n=0 (a) Find the radius of convergence, R , of the…

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Q: 4. Find f'(x) if f(x)= In (2x) + cos (6x)

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Q: What is the exact area bounded by the curve f(x) = 1/2 X and the x-axis on the interval [1, 8]?…

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Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A: Let us assume it takes n half-lifes to reach 10mg

Q: 2) Given the vectors a-[4, 2, -6], b-[6, -3, 2], and c-[-5, 0, 4], simplify the following vector…

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Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

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Q: (1, -2) (a) The curve with equation y2 = x³ + 3x² is called the Tschirnhausen cubic. Find an…

A: We have to find the tangent equation and draw the graph.

Q: In how many ways can a committee of 5 people be chosen out of 9 people?

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Q: Find Vf at the given point. f(x,y,z) = x² + y² - 4z²+zlnx, (1,1,3) Vf|(1,1,3) = i +(\)j + ()k…

A: Topic:- application of derivatives

Q: Use the first derivative to determine where the function is increasing and decreasing and where all…

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Q: Problem 2. Consider the equation z = x² + y² + 1 A. Find the equations for az- and yz-traces. B.…

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