4. Se 1+e 2x 5. fe²x sin 3xdx

Q: Find the derivative of the following function. y = -88x²-1 ...

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Q: If f(x)= = 3x5 – 5x4 – 3x³ x4 " find f'(x).

A: The given function

Q: same 3. Graph lines I and k line l: 2x + 4 = 0 line k; 2x + 5y = -15 (+ show at least 3…

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Q: (a) Find the average rate of change of the area of a circle with respect to its radius ras r changes…

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Q: The function f is defined by f(x) = x³ −3+4 cos (3x + 2). Use a calculator to find all values of a…

A: f(x)=x3−3+4cos⁡(3x+2)

Q: Evaluate the integral by reversing the order of integration. 1 1₁² X 4 y³ + 1 dy dx

A: given

Q: Use the properties of inequalities to solve the inequality. Write the solution set using set-builder…

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Q: The given curve is rotated about the y-axis. Set up, but do not evaluate, an integral for the area…

A: The given curve equation is  ,

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. √13n an =…

A: To determine whether the sequence  converge or diverge.To find the limit if the sequence is…

Q: Use the properties of logarithms to expand the logarithmic expression. In (34) 94

A: By using the properties of logarithmic functions to expand the expression is     ln(x/94)

Q: Determine the limits of: 3N (1 + 2/3 3³

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Q: Find an equation of the following ellipse, assuming the center is at the origin. Sketch a graph…

A: The standard equation of an ellipse with the centre at origin is

Q: Given function f (x) = x3 − 12x + 2, (a) find the intervals of increasing or decreasing (b) find…

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Q: 1. Evaluate each 2-variable function f : D → R below at the given points. For a point described with…

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Q: Solve the equation and check your solution. 6x 15 = 9x + 22 X =

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Q: Find the point where the tangent line to y = 5x² at x = 0.7 crosses the x-axis. x-intercept =

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Q: Add the following complex numbers. (−5+19i)+(3−3i) Give your answer in complex standard form a+bi

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Q: y-values 9 8 7 3 2 1 1 g(x) 2 3 x-values If f(x) = g(h(x)), then f'(1) = ♂ y-values 5 4 1 1 h(x) 2 3…

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Q: A rectangle is inscribed in a semicircle of radius r = 16 as shown in the diagram below. 0 X y

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Q: Find an equation of the normal line to the parabola y = x² - 8x + 4 that is parallel to the line x-…

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Q: Use a calculator to evaluate each of the following. Give the answers correct to four decimal places.…

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Q: Use the factor theorem to determine if the given binomial is a factor of f(x). f(x)=x²-2x³ +5x²…

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Q: Please explain how to get to the answer in-depth and also help me master the concept for future…

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Q: 1. Verify y(x)=c, sin x + c₂ cos x −(cos x)In(secx+tan x) is a solution to y" + y = tanx.

A: Question No. 1: To verify that  is a solution to .Note: Since the student has posted multiple…

Q: Differentiate g(ar) = In (7 7-x g'(x) = 0

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Q: Find the derivative of the following functions using the quotient rule: You do not need to simplify.…

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Q: Find the values of the other trigonometric functions given the following conditions.  a. sin theta =…

A: Find the values of the other trigonometric functions given the following conditions. a. sin theta =…

Q: f(0) = ln(cos 0) f(x) = log5 √√5x+1

A: f(θ)=ln⁡(cos⁡θ)

Q: Find the local minimum of the function f(x), which is given in the graph below. -6 -5 -4 -3 -2 -1 6…

A: To find the local minimum of the function , which is given in the graph below.

Q: Find the eigenvalues of the matrix -40 -18 2 -8 -18 -14 -8 -18 -14, Enter the eigenvalues as a list…

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Q: 3a If f(x) is continuous and ſ³ª f(x)dx = 496.8, what is a [" Round your answer to two decimal…

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Q: Find the slope of the line tangent to the graph of the function at the given value of x. == -√x; x =…

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Q: In Exercises 1-16, use the Law of Sines to solve each triangle, if possible. Round each answer to…

A: By using the Law of Sines  to solvethe following triangle.v

Q: Find the length of the parabolic segment r= 14 1 + cos 0 The length is (Type an exact answer, using…

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Q: Given the demand function D(p) = √100 - 3p, Find the Elasticity of Demand at a price of $17 At this…

A: Elasticity,E(p) = Where D(p) is the demand function.

Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A: An area to fence is of 37.5 million square feet in a rectangular field.

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. 2-6n4 an =…

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Q: Differentiate the function. y' = y = (In(1 + e*))5

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Q: g(x) = ln (xe³x)

A: According to Bartleby guide line we only do first part. Please re post other part in next…

Q: Differentiate y = 7x³ +6

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Q: If h(a) = h(b), then what is the value of ·b [ g(h(x))h' (x)dx

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Q: Find the exact length of the curve. x = et t₁ y = 4et/2, 0≤t≤4

A: Given, .Formula for length of curve is,

Q: Determine if the sequence {a} converges or diverges. Find the limit if the sequence converges. an =…

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Q: The graph of y = f(x) is shown below. -7-6-5-4-3- T .F. 5 4 3 2 1 2 3 4 4 H 3 4 5 6 7

A: From the given graphParent function f(x)=y=x2

Q: The circumference of a sphere was measured to be 78 cm with a possible error of 0.5 cm. (a) Use…

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Q: A rectangular tank measuring 1 mx 2 m × 3m initially contains w is being pumped into the tank at a…

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Q: Does the sequence {a} converge or diverge? Find the limit if the sequence is convergent. an =√4n…

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Q: If lim f(x)=7, which of the following must be true? x→3 f is continuous at x = 3. f is…

A: From the given limit it is clear that the limit exist.Limit exists when left-hand side limit is…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 3 x intercepts…

A: Given, vertical asymptotes at x=-2 and x= 3.Given, x intercepts at x=4 and x= 6.Given, horizontal…

Q: Determine the y-intercept of the parabola whose graph is given below. -7-6-5-4-3- 2 -f 7 7 7 7 i i 5…

A: