following

Q: tan*(5x) limx→0 x sin³(2x)

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Q: B. Evaluate the definite integral using the Simpson's rule, giving the answer correct to 3 decimal p...

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Q: provethat 2. 1- cosx +Sin'x

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Q: Let F(x) = f(x°) and G(x) = (f(x)). You also know that a = 2, f(a) = 3, f'(a) = 5, f'(a°) = 5 %3D %3...

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Q: Evaluate the double integral in two ways using iterated integrals: (a) viewing R as a type I region,...

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Q: Please do D

A: Given function ;

Q: prove that 2. catX+c

A: We use that- sin2x + cos2x =1  so that 1-cos2x= sin2x

Q: = 2x from x = -1 to x = 2. Find the area between the graphs of f (x) = x² + 4 and g(x) %3D 6. f (x) ...

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Q: Find the angle between the vectors. Use a calculator if necessary.〈1, 1, 1〉,〈1, 0, 1〉

A: Given the vectors <1,1,1>,<1,0,1> GTO find the angle between the vectors.

Q: For what values of a is the graph of y = xe -2x concave down? values =

A: for a function 

Q: EXAMPLE 4 Average Cost Function The average cost T of manufacturing x computers per day is given by ...

A: The average cost function is   C¯(x)=0.56x2-34.39x+1212.57+20,000x                    (1)

Q: 10 Let y = ( 2x + Then -A(2x + 10)" (2- 10)°, dy = A[ 2x + 2 - where A = %3D C = %3D

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))2. You also know that f(9) 2, f(2) = 3, f'(2) = 11, f'(9) = 9 ||...

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Q: d dv + v dx du %3D dr (uv) : dx Prove the Derivative Quotient Rule? du dx dv и - d и dx

A: Given equation is : ddxuv=udvdx+vdudx   ......1 To prove : ddxuv=vdudx-udvdxv2

Q: Sketch the graph of the function and check the graph with a graphing calculator. Before doing so, de...

A: The graph is shown below:

Q: The graph of an exponential function passes through (2, 45) and (4, 405). Find the exponential funct...

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Q: Use differentials to approximate.

A: Given : 8.93

Q: Determine whether the following statement is true or false, and explain why. The derivative of a pro...

A: Determine whether the following statement is true or false, and explain why. The derivative of a pro...

Q: prove that 2. = - Cotx + C 2 |- Cos?x + Sinx

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Q: iven g(x) = x³ – 3x? on [1, 3] What is the absolute minimum of f on the given closed interval? At wh...

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Q: Precalculus 1 Question

A: This question is about Inequality 

Q: What is the result of the sum of the following series represented in the image below? Select the cor...

A: Given series 

Q: Hello, please prove the equation #8

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Q: Find the absolute extrema of the given function on the indicated closed and bounded set R. (Order yo...

A: Extrima

Q: In Exercises 53-56, write an equation in standard form of the parabola that has the same shape as th...

A: 53. The parabola y=3x2 opens upward and the vertex of the parabola is 0,0. Shift the vertex at 4,-2 ...

Q: can someone help me with A

A: Given that                                       V=500001-t802;  0≤t≤80 (a) derivative of V with res...

Q: 6. You are given the graph of the function f(x). 6. Answer the following questions about f(z). a) At...

A: Find the value of x where the function is not continuous and differentiable

Q: Help me do 8 and 9 pls

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Q: 1. Given y = x3 - 3x2, determine the: a. critical values, b. intervals of increase/decrease, c. Loca...

A: See the explanation below

Q: Let f (x) = x3 - 7x. Find all numbers c in the interval (-2, 0) for which the line tangent to the gr...

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Q: Find the derivative of function defined as follows. k(x) = -9(5x2+ 3)-6

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Q: Express the given quantity in terms of sin x and cos x.

A: Express the given quantity in terms of sin x and cos x.         cos3π2+x

Q: Can you please solve this question step by step?

A: Order of differential equation is 2, as highest differential coefficients 2.

Q: Use logarithmic differentiation to find y’=dy/dx. Express your answer in terms of x and do not simpl...

A: Given :

Q: Where is the function defined by ƒ(x) = ex increasing? Decreasing? Where is the tangent line horizon...

A: Differentiate the function fx with respect to x. f'x=ex

Q: Can someone show me step-by-step how to do this problem? Thank you!

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Q: Q5) find the slope of tangent to the curve at the given points: y? + x? = y* - 2x at (-2, 1) and (-2...

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Q: Evaluate the integral. 2n x sin(x) cos(x) dx

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Q: Locate the point of intersection of the plane 2x + y−z = 0 and the line through (3, 1, 0) that is pe...

A: Our Aim is to locate the point of intersection of the plane 2x+y-z and theline through (3,1,0) that ...

Q: Can you please solve this question step by step?

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Q: ATMOSPHERIC PRESSURE If the temperature is constant, then the atmospheric pressure P (in pounds/squa...

A: The function that models the atmospheric pressure is, P=p0e-kh    ... (1) The atmospheric pressure a...

Q: Example 2: Shift the graph of the function f(x) = x; if D-{x: -2 <x<3} and R=(y: 0 Sy <9}. (a) one u...

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Q: 5. If for every point (x, y) on the graph of an equation the point (-x, y) is also on the graph, the...

A: Given : If for every point ( x, y) on the graph of an equation the point ( - x, y) is also on the gr...

Q: Calculus Question

A: From the graph z1=(5, -4)=5-4i z2=(-3, -6)=-3-6i

Q: Explain why the inequality x2 - x + 1 &lt; 0 has the empty set as the solution set

A: Given inequality: x2-x+1&lt;0    

Q: RISING MEDIAN AGE Increased longevity and the aging of the baby boom generation-those born between 1...

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Q: Use the addition formulas to derive the identities in Exercise

A: Given, sinx+π2=cosx Use the addition formulas to derive the above identity.

Q: Problem is attached! Please and thank you!

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Q: In Exercises 35–40, use Eq. (2) to expand the function in a power series with center c = 0 and deter...

A: Recall that the geometric series is∑n=0∞arn=a1-r provides r&lt;1 Don't forget as well that r≥1 the s...

Q: 2x² – 3x – 5 Graph g(x) x + 1

A: Graph  gx=2x2-3x-5x2+1  

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.