Given f(x)= x-2 ex a) Determine on which intervals f(x) is increasing. b) Find the relativemaximun and relative minimun values of f(x)

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 2…

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Q: find volume of shell y=x y=x^2 over x axis

A: This is equivalent to rotating R2 about the line y=0. Since neither of the curves are touching the…

Q: For the function f(x) given below, find the derivative (-¹)'(c) at the given point c, by first…

A: Topic - Inverse function and derivatives We are given, f(x)=5x+10x17we know thatif a=f-1(c)then…

Q: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE. Enter…

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Q: Condense the expression to the logarithmic of a single quantity 1/4{log7t + 3 log7(1-t)} - log7 (7

A: We have to find out

Q: Write the sum using sigma notation: -3+3-3+3 - ... =

A: As we see that absolute value of  each term is   3  and sign of each term is  alternative negative…

Q: Find the simpler function for the function f(x)= 9x-36/3x^2-6x-24

A: To simplify the given function.

Q: A box with an open top is to be constructed from a square piece of cardboard that is 12 inches wide…

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Q: 27. x² - xy - y² = 1, (2, 1) (hyperbola) 28. x² + 2xy + 4y² = 12, (2, 1) (ellipse)

A: Here not exist question 16 So i do first two questions

Q: logarithmic differentiation to find the derivative of f (x) = (cos x)x

A: Given is to find the derivative.

Q: The domain of the function f(x) = √e-4-elx-3|—x is O(A) the empty set (B) a half-line of the form…

A: The given function is  f(x)=e-4-ex-3-x

Q: For the demand function D(p), complete the following. D(p)=2000e^-.02p Find the elasticity of demand…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Solve the exponential equation by expressing each side as a power of the same base and then equating…

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Q: Evaluate the gradient of f(x, y, z) = log(x² + y² + z²) at (1, 0, 1).

A: To evaluate the gradient of fx, y, z=logx2+y2+z2 at 1, 0, 1.

Q: If x² + y² = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated…

A: Topic = Derivative

Q: Find equations of the following. 2(x-7)² + (y - 9)² + (z - 2)² = 10, (8, 11, 4) (a) the tangent…

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Q: Solve the DE with Linear Coefficients (16x+5y-6)dx + (3x+y-1)dy = 0

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Q: 4. Solve the given integral [(2x²-x₁ xe*)xdx 2: O a. 2x² In 2 4x2 O c. In 2 30x³ +C +3e+³ +C 2x² 1 -…

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Q: Solve the following exponential equation without using logarithms. 2-5X _{ = 8 The solution is x =…

A: Given that without using the logarithm we need to solve the exponential equation  2-5x = 8

Q: Find all complex z that solve the equation z^12 = −1. Which of these solutions also solve z^4 = −1?

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Q: Given that f(x) = 2x² 2x and g(x) = 3x - 6, find the functions below. Simplify answers completely.…

A: Given query is to find indicated composite function

Q: Consider the function f(x) = 3x³ - 2x on the interval [ - 3,3]. Find the average or mean slope of…

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Q: Solve the following exponential equation. Express the solution set in terms of natural logarithms or…

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Q: In Exercises 21 - 30, eliminate the parameter in the given parametric equations. 21. x= 2t +5, y =…

A: Given: x=2t+5 y= -3t+1

Q: 5.2.12

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Q: 29. Convert a complex number in polar form shown below to a complex number in standard form (a +bi).…

A: At first we find value of cos 15 and sin 15 then we simplify the expression.

Q: The drink booth at the school fair had these 4 types of drinks: root beer, ice tea, lemonade, and…

A: A bar graph represents data in the form of rectangular bars with it's heights proportional to the…

Q: Make a sign diagram for the derivative of the rational function. 8 x² + 2x - 3 f(x) = --Select---…

A: The given rational function is  f(x)=8x2+2x-3

Q: Sec (30) (08300 8. You lean a 20 foot ladder is leaning against a wall so you can replace a burned…

A: Given query is to find the rate of change of the top of the ladder.

Q: Use sigma notation to write the Maclaurin series for the COS TTX.

A: Maclaurin series of f(x) about is given by, f(x)=f(0)+(x-0)f'(0)/2!+(x-0)²f"(0)/3!+...

Q: Given f(x) = 4 sin(x) + 4 cos(x), over the interval 0 ≤ x ≤ 27 answer the following: a) Find the…

A: Note: - According to company policy we can attempt only three subparts a question so please upload…

Q: 1. Write the equation log2439 = in exponential form. [A] 2435-9 243 [C] =9 [B] 95-243 [D] 9 - 243 2.…

A: NOTE: Refresh your page if you can't see any equations. . write both sides as an exponent of 243…

Q: If f(x)= f'(x) = f'(4) = = 3tanr X 2 then

A: I am attaching image so that you understand each and every step.

Q: By the alternating series test, the series converges. Find its sum. First find the partial fraction…

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Q: + -4 -3 -2 -1 12 a what interval(s) is f(x) decreasing? what value(s) of a does f(x) have a maximum…

A: Topic :- calculus

Q: Evaluate So 1 y=x²/3 xe dy dx

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Q: Dave borrowed $5700 from his uncle with simple interest of 13% and eventually repaid $8664…

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Q: 8)In the following questions, determine the behavior of h(x)=7x3+6x−x3+10x.

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Q: In Exercises 5-8, sketch the graph of the given parametric equations by hand, making a table of…

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Q: A curve is represented by the equation 4y³ + xy - 5x + 4 = 0. Part A: Determine Part B: Evaluate dy…

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Q: K Given cost and price (demand) functions C(q) = 100q+41,500 and p(q) = -1.8q+870, what is the…

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Q: If we apply Rolle's Theorem to the function ƒ(x) = 2x² - 16x - 3 on the interval [2, 6], how many…

A: The given function fx=2x2-16x-3 on the interval 2, 6, we have to apply Rolle's theorem and find the…

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: NOTE: Refresh your page if you can't see any equations. . the revenue and cost functions are

Q: Evaluate the integral. S- dx √64x² A. X= OB. x= Which substitution transforms the given integral…

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Q: Which statement regarding these polynomials and their zeros is true? - ○f(x) = (x² − 1) (x + a) has…

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Q: Given cost and price (demand) functions C(q) = 110q+41,000 and p(q) = -2q +880, what price maximizes…

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Q: Find the geometric series or state that it diverges for n=0,infinity        e^-6n

A: We have to write  in geometric series and we have to give state for divergence

Q: I → Question 2: Are the limits of these functions defined as a too? (please take this opportunity to…

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Q: Why do you add pi and subtract by (x) in step 2? Where does the pi come from? How does the integral…

A: we can solve the integral.

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

A: On solving this we will get