Given that f(x) = x³h(x) - h(1) = 5 h' (1) 8 = Calculate f'(-1).

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Q: The price-earnings ratio of a stock is given by P RP,E) = E where P is the price of the stock and E…

A: Given: Price per share of a certain company, P = $30.13 Earning Per share, E = $1.84

Q: Find all possible functions with the given derivative. t 1²/24 f'(t) = cos 9t- sin f(t) =

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Q: For f(x,y) = Inx+y³, find f (e5,9). 1(e5.9) -

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Q: Given the function: a. Find f'(x) and f"(x) b. Determine the following properties of the graph of f.…

A: Please see the below picture for detailed solution.

Q: 3.) [₁ y(2y² +1)* dy

A: To evaluate the given integral

Q: 14. A species of freshwater fish called Perch was introduced into a large lake. The equation below…

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Q: m confused by the step where it goes to (1-cos(pi)). Where does that come from?

A: Please look at the step  4

Q: Unless specified, all approximating rectangles are assumed to have the same width. Evaluate the…

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Q: Hi, I have torubles lith my homework. f(x) = ln(-x + sqrt(x^2 + 36)) Determine the: 1) D(f), H(f);…

A: Disclaimer: Since you have posted a question with multiple sub parts , we will solve first three…

Q: A certain index I is a measure of soil moisture. An article described the rate of change of I with…

A: we need to solve the given initial value problem.

Q: Question Find the area of the region enclosed by r = 5 cos (0). Enter an exact answer. Provide your…

A: Please see the below picture for detailed solution.

Q: Show that the given curve c(t) is a flow line of the given velocity vector field F(x, y, z). c(t) =…

A: We have to show the following conditions according to the given information

Q: Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not…

A: Here, we need to simplify 18 sin4x. So,              18 sin4x=18sin2x2               =181-cos(2x)22…

Q: A flat rectangular piece of cardboard of dimensions 6 cm by 10 cm is transformed into an open-top…

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Q: Find the indicated partial derivatives of: дz ?х дz ду || || z = ln(x2 + y3)

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Q: Find the points on the curve where the tangent is horizontal or vertical. You may want to use a…

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Q: Find the indicated partial derivatives of: fz(x, y) = fy(x, y) = f(x, y) = 1r - 6y -8x - 6y

A: Givenf(x,y)=1x-6y-8x-6y We are required to findfx(x,y)=?fy(x,y)=?

Q: Use the graph of y=f(x) to answer the following. Part 1 of 8 (a) Determine /(-4). (-4)=0 Part 2 of 8…

A: given graph of f(x)

Q: The equation of motion for a particle moving along the y-axis is given as y(t) = 2t² - 8t + 3 for t≥…

A: I have solved step by step in detail...hope you will get this solution

Q: Differentiate. d| y=9*.log7x dx (9²-log,x) = 0

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Q: Solve the differential equation. FD dy dx 3e * y = 2, x > 0

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Q: Question Find the area of the region enclosed by r = 5 cos (0). Enter an exact answer. Sorry, that's…

A: Let's find area enclosed by r=5 cos(theta).

Q: Find the curve in the xy-plane that passes through the point (4,6) and whose slope at each point is…

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Q: Find the point on the graph of f(x)=√x that is closest to the point (9, 0). -([ (x, y) =

A: The objective of the question is determine the closest point to the given point and graph.

Q: and the future value P of the amount Po= $200,000 invested for time period t= 5 years at interest…

A: Continuous Compounding Formula: P = P0·ek·t where P = Accumulated Amount P0 = Principal Amount k =…

Q: ind the fun 8 f(x) = x ³₁ absolute maximum and -1≤x≤8 Select the correct choice below and, if…

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Q: -8 -6 -15 4-5 S 4 + Ox O Using the graph of f(x) above, answer the following. If a limit or…

A: Given Graph:-

Q: If cot(x)=8/11 (in Quadrant-I), find cos(2x) = ------ (Please enter answer accurate to 4 decimal…

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Q: At OHaganBooks.com, the rate of net sales (sales minus returns) of The Secret Loves of John O, a…

A: NOTE: Refresh your page if you can't see any equations. . the rate of net sales is given by where…

Q: Determine how many terms of the following convergent series must be summed to be sure that the…

A: We have to find the number of terms of the given convergent series that must be summed.

Q: lim (x³ + 2)(x² - 5x) 2-3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: b ZA= ZB= ZC= с a B Let a = 1, b = 8 and c = 8. Find the measure of angles ZA, ZB and ZC. Give your…

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Q: Find the exact value of each of the following under the given conditions. a. cos (α + B) b. sin (x +…

A: Explanation of the answer is as follows

Q: Two variable quantities A and B are found to be related by the equation given below. What is the…

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Q: find the average vaim of the function fcx) = x² = 5x + 6 cosx on th Interval [-1, [-1,3].

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Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

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Q: 3 (cos (4) + 4 sin (4) 3 3 z=3

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 8 Σ…

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Q: I. SOLVE THE following Linear D.E. Adx + xtany dy=sinaydy

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Q: Find the most general antiderivative or indefinite integral. 10x13 10x√13 dx =

A: To evaluate the given integral

Q: 2. If cos a = sin ß = ²³, P(a) € QI, P(ß) € QIII, find the following: c. sin(2a) (* e. sin (2) b.…

A: Note  :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the domain and range of y = log7(4 + 3x) + 12.

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Q: 1. y = sin 4x 2. y = cos 5x 3. y = sin x

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Q: Alarger household produces more garbage, on average, than a smaller household. If we know the amount…

A: We use system of linear equations to solve the given problem.

Q: If the marginal revenue for ski gloves is R'(x) function. R(x) = = - 0.6x + 50 and R(0) = 0, find…

A: If the marginal revenue fro ski gloves is R'x=-0.6x+50 and R0=0, to find the revenue function.

Q: Solve for the variable in each equation below. Gi (a) log(y 1) + log(y + 1) = log 8 -

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the exact slope of the tangent line to the 5 cos(t) 2 sin(t) parametric curve t co/= 3 X { y =…

A: slope is  dydxdydx=dydtdxdtdsintdt=costdcostdt=-sint

Q: The first derivative of a continuous function y = f(x) is y' = (12x - 10x²) (3-x)². Find y' and then…

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Q: Evaluate the following improper integral if it is convergent. 8 S= 2 6 OA. x Inx Select the correct…

A: we know that  ∫1xdx=dt∫2∞6xlnxdx=lima→∞∫2a6xlnxdxlet  lnx =t1xdx=dt