What is the denvative of: d√√√x²-2x do sin x

Q: Q1: Answer 2 branches only A. Find the general solution of the following Initial Value Problem…

A: Given :y''-2y'-3y=5cos2t

Q: given by v(t) = 7e", where t stands for time. (Note: Find the integral of the function (t).) 2.…

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Q: An object moves along a horizontal path with a velocity v(t) = 2t² - 8t, where v(t) is measured in…

A: Given problem:- An object moves along a horizontal path with a velocity v(t) = 2t2 - 8t where v(t)…

Q: Find the derivative of O 2sec 2x 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

A: I have stated the used formulas in the solution

Q: Lucy draws a line on a coordinate plane. Which transformation will always result in a line…

A: Reflecting a given line firstly over the x-axis and reflecting over y-axis , both reflected line…

Q: Find the equations of any vertical asymptotes for the function below. 2 +² - 3x - 10 f(x) 2 x-5x-14…

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Q: D- for the function below, the domain and the range is respectively y = x²/5

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Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy2 +…

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Q: 4 dx 1 x+4√x ex dr

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Q: 4. Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Differentiate with respect to x

Q: Evaluate the given integral by using three terms of the appropriate series. 0.9 S sin x²dx 0

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Q: A) Evaluate the following integral (x - 1)(x − 2)(x-3) -

A: Given, ∫1x-1x-2x-3dx

Q: Q) Using the properties of logarithms, find the derivative of the following function (x² - 1) √x + 1…

A: Given:         y=x2-1x+12x-35 Lets rewrite the equation as        y=x2-1x+1122x-315 Now use the…

Q: QUESTION 2 1. The sketch shows x)- asinx for [-90%,270"] 31 1.1 Determine the value of a 1.2 Sketch…

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Q: e- ed ence RULING AND SOLVING! 1. Review the basic concepts of Basic Rules of Differentiation. 2.…

A: Given

Q: An area is bounded by y^2 =12x, x = 3. The area is located in the first quadrant. Calculate the…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0  (h − 4)2 − 16…

A: Expand (h-4)2

Q: Q5: Find the domain and range for the following functions for the function below, the domain and the…

A: Let's find domain and range of function.

Q: Find the limit. (If an answer does not exist, enter DNE.) lim x → 3 x2 − 8x + 12 x − 3

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Q: B- The derivative is y = ln (sec (In 0))

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

Q: C-The result of the following limit is sin 1² lim t 1-0 Oo O infinity 02 O anther answer

A: We can solve this as follows:

Q: You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the…

A: We can solve the given problem by using the second derivative test.

Q: Given that  lim x→2 f(x) = 4    lim x→2 g(x) = −2    lim x→2 h(x) = 0, find each limit, if it…

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Q: y = ln (sec (ln 0))

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Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

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Q: Use finite approximations to estimate the area under the graph of the function f(x)=8-x-2x between x…

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Q) Using the properties of logarithms, find the derivative of the following function (x²-1) √x + 1 y…

A: By using the properties of logarithms, to find the derivative of the following…

Q: C- for the function below, the domain and the range is respectively y = y=√16-x²

A: Given :y=16-x2

Q: f(x) = 44 (a = 3) Choose the correct answer below. 4 4 8 OA -+ -(x-3)-. 3 9 27 (x-3)² + ... 4 4 4 O…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: In this question we have to find the volume generated by rotating the region bounded by the given…

Q: Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: Simplify the trigonometric expression below by writing the simplified form in terms of sin a Enclose…

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Q: y = ln Vsin 0 cos 0 1+2 ln 0

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Q: C- for the function below, the domain and the range is respectively y=√16-x²

A: We have to find domain and range of given function.

Q: a car move with an initial velocity of * 50 m/s to the right, determine its position when t=15 s, if…

A: This is a problem related to newton's law of motion. Based on the general formula and concept we…

Q: The result of dy/dx for the following function is COS X y = 1+sin x

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

Q: # Find a and b so that the function e-ax, x ≤ 0 f(x) = {₁² + 5x + b,x>0 is differentiable…

A: To find out the sum a+b.

Q: Verify that the indicated family of functions is a solution of the given differential equation. A dP…

A: Given  dPdt=P1-P;   P=c1et1+c1etTo Find: We need to verify the solution

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A: Let's find value of y(1.2)  = ?.

Q: 1-sin x F(x) = S₂₁² 5tdt

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Q: Evaluate f 9-4x² dx x²

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Q: State the order of the given ordinary differential equation. (1-x)y" 5xy' + 7y = cos x Determine…

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Q: Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data…

A: Here we will calculate the linear regression  model,

Q: Evaluate f 4r-1 3 (2r+1)² dr

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Q: What is the coefficient of x squared in the expansion of (see attached image)

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Q: An area is bounded by x^2 = 8y, y = 3, and the y-axis. This area is located in the first quadrant.…

A: An area is bounded by x2=8y, y=3, and the y‐axis. This area is located in the first quadrant.To…

Q: I need the third derivative for all of the following functions: f(x)= 1+X f(x) = -=-=-=-=-x 1-X €(x)…

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Q: Determine whether the integral is improper. +∞0 (x+3)-1/3 dx -∞0 O Improper O Not improper

A: Topic = Integartion Improper

Q: Find the first three nonzero terms of the Taylor expansion for the given function and given value of…

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Q: 10- Prove that a.b= la+bl²-la-bl²/4

A: solution:-a.b=a+b2-a-b24R.H.S=a+b2-a-b24=a2+b2+2a.b-a2+b2-2a.b4=a2+b2+2a.b-a2-b2+2a.b4=4a.b4=a.b=L.H…