x y April 1 1 122 April 7 7 356 April 15 15 1108 April 30 30 3562 May 5 35 4212 May 10 40 4979

Q: If f(x) = sin(x¹), find f'(x) Find f'(2) (round to 3 decimal places)

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Q: Given y = f(u) and u = g(x), find (1) × ² y=9u-2,u= dy dx = f(g(x))g'(x).

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Q: Using the graph of f(x), what is lim f(x)? X→ 1 1. 0 -1- -2+ 2 3 5

A: According to given graph  At x = 1 Given graph goes to 0

Q: Exercise 10 dy Let y = (f(x))³ and suppose that f'(1) = 4 and dx The Chain Rule = 10 for x = 1. Find…

A: We have to find out

Q: Solve the differential equation. y' − y = 9ex

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Use the arc length formula to find the length of the curve y=√16-x²,0 ≤ x ≤ 4. Check your answer by…

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Q: The composite function theorem allows for the demonstration of which of the following statements? O…

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Q: A company that produces cell phones has a cost function of C = 5x² - 155x + 6619, where C is the…

A: Given query is to find the number of units need to be produced to minimise the cost.

Q: dz ds A. Use the chain rule to find dz მყ dz Ot || dz Ot Suppose z = =x² sin y, x = = (-5,5) = and…

A: Please see the below picture for detailed solution.

Q: Let f be continuous and twice differentiable function such that f is increasing and concave down and…

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Q: Give two other polar coordinate representations of the point, one with r 0. (r, 0) = = (smaller…

A: Topic - Cartesian coordinates to polar coordinates we are given x=-5 ,y=0we know…

Q: Charles 'n Marge sell custom-build cabinet units for motor homes. The function P(x) = 2x² + 700x -…

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Q: Give your answer in interval notation. Determine the intervals where the graph of f(x)=x²-3x²+x-1 is…

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Q: Solution set?

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Q: Find all of the following for the function y = x¹ ex a. x-intercept(s) b. y-intercept(s) C.…

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Q: 18,000 invested compounded for 6 years at 4% interest. How do I figure out the annual and semi…

A: 18,000 invested compounded for 6 years at 4% interest. To determine the annual and semi annual…

Q: ● Look over Example 4 carefully. Then find the antiderivative fe* cos xdx. Use the back of the sheet…

A: Please see the below picture for detailed solution.

Q: Find the partial derivatives of the function fz(x, y) = fy(x, y) = 1 f(x, y) = 4x 2y 1x + 2y 1

A: Given: Now, fx(x, y)=∂ ∂ x4x-2y1· x+2yTreat y as a constant             =∂ ∂ x4x-2y1· x+2y-∂ ∂ x1·…

Q: In formally proving that lim (x² + x) = x 4 Determine m. m = 20, let & > 0 be arbitrary. Choose d =…

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Q: Suppose that you can calculate the derivative of a function using the formula f′(x)=4f(x)+5x. If the…

A: Using derivative

Q: Find the maximum rate of change of f(x, y) = ln(x² + y²) at the point (-3, -4) and the direction in…

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Q: Give your answer accurate to 3 decimal places. A man on a dock is pulling in a boat by means of a…

A: A man on a dock is pulling in a boat by means of a rope attached to the bow of the boat at a point…

Q: 1. Given that: ₁x₁ = 10 and 2₁x² = 30. What is (x-2)²?

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 1. Find a parameterization of the tangent line to r(t) = (- sin(2t), t², cos(2t)) at the point (0,2,…

A: Given :- rt=-sin2t,t2,cos2t

Q: while

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Q: dy Use implicit differentiation to evaluate at the point (-2, 1). dx (Submit an exact answer.)…

A: Topic = Derivative

Q: Consider the function f(x) = 1 − 6x², − 5 ≤ x ≤ 2. The absolute maximum value is and this occurs at…

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Q: what is the set of whole numbers, positive integers, negative rational numbers, and natural numbers?

A: To write: The set of whole numbers, positive integers, negative rational numbers, and natural…

Q: The graph of f is given in black. Which of the blue dotted graph is the graph of f'(x)? (B) f(x) INN…

A: We know that when the function is decreasing, its derivative is negative and when the function is…

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r = 7 +…

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Q: Determine the value of an investment in the amount of $4000 that matures in 4 years and pays 7.5%…

A: Let's find value of amount after 4 years in each given cases.

Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. BD…

A: Given matrix:- B=374-9012 D=3-41284107-10

Q: X Consider the function f(x) = x2x+9 The absolute maximum of f(x) (on the given interval) occurs at…

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Q: Find f(x,y) and fy(x,y). Then find f, (2, -1) and fy(-4,3). 4 f(x,y) = In 9x² + 8x²y²| {x(x,y) =

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Q: Given the given cost function C(x) = 7550 + 780x + 1.7x² and the demand function p(x) = 2340. Find…

A: Find the profit function using the given functions for x units

Q: Find the half-life of a radioactive substance if 220 grams of the substance decays to 190 grams in 5…

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Q: Evaluate the limit of the function f defined by f(x, y) = y = x² as (x, y) approaches (0,0). x+y 2x²…

A: To evaluate the limit of the given function

Q: Find the inverse Laplace transform L¯¹{F(s)} of the function 2 F(s) = s² + 5s 6 NOTE: The answer…

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Q: Find the maximum rate of change of f(x, y, z) = x+y/z at the point (1, 1, -3) and the direction in…

A: Please see the below picture for detailed solution.

Q: Find the limit (enter 'DNE' if the limit does not exist) 1) Along the x-axis: 2) Along the y-axis:…

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Q: O 62 sin² (1) da = In(sin(x)) + 6 In(sin(x)) In(sin(x)) + In(sin(x)) (Apply integration by parts…

A: ∫u(x)v(x)dx=u∫v(x)dx-∫ddxu(x)∫v(x)dxdx ∫cotxdx=ln|sinx| ∫csc2xdx=-cotx

Q: 6.) A function g is defined by g(x)=3e³x, what is g"(2)?

A: Topic = Derivative

Q: ces Find the linear approximation at x = 0 to show that the following commonly used approximations…

A: we will find the required.

Q: BOTTOM LINE QUESTION Find the exact area under the curve f(x)=x²e* from x=0 to x=2. Show your work…

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

Q: When using integration by parts to evaluate the integral fx²e-²x dx and du pick u = that du = and v=…

A: Concept: To combine the end result of two or more functions, integration by parts is utilized. The…

Q: X y 1 2 712 4108 y = 3 10550 4 23011 5 41381 6 60925 Use linear regression to find the equation for…

A: use the calculator to find the linear regression in your calculator press STAT select edit by…

Q: If √ (2-4) (2 + 6) dr = Adr 2-4 Bdr +6' then A+B =

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Q: Find the first partial derivatives of f(x, y, z) = z_arctan =; Caution: ay/bx and ay/(bx) are very…

A: The given function fx,y,z=z arctan-4y3x We have to find its first order partial derivatives.

Q: wrong answer

A: The given differential equation is; x2y"+5xy'+13y=0, y(1)=4, y'(1)=1

Q: Calculate, to four decimal places, the first ten terms of the sequence. n *₁ = 1 + (-)"

A: We need to find out the first ten terms of the sequence.