The Graph below represents the velocity of a particle moving on a horizontal line on the interval [0.e]. GO b C u(t) + diy f + X

Q: Let f(x) = −sin(x)and g(x) = cos(x). Find [f(x) g(x)]. dx d -[ƒ(x) • g(x)] = sin²(x) - cos²(x) dx d…

A: This question can be solved using product rule of differentiation.

Q: dy Find for ex+4y= y. dx

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Q: 13. 14. dy dx dy dx = = 2 x2 +4 3 x2 + x

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Q: In a frequency distribution table if the last class interval is 18– 34, then the class size will be:…

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Q: In each of the following, eliminate the arbitrary constants. 1. x³ - 3x²y = c 2. y sin x - xy² = c…

A: The objective of the question is eliminating the constant.

Q: If y=In (2-3x²) + 4e - 3x +9x, then f'(x) = 6x 2-3x² - 12 3.x e +9

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Q: Find the area of the region that is enclosed by the cardiod r = 10 — 10 sin 8. NOTE: Enter the exact…

A: Concept: The area of the region bounded by the cardioid is Area=∬Rrdθ

Q: If f(x) = e³x-2, evaluate the lim X4x Select one: O a. O b. O c. O d. 3e 3x e3x e3 does not exist…

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Q: Write the slope-intercept form of the equation of the line that has the given slope and y-intercept.…

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Q: A - Use method of partial fractions to evaluate: ∫ f(X)dx, where f(x)= (3x^2-5x-18)/(x^3+2x^2).  B-…

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Q: The negative real solution to the equation is x = Number ex²_9_1 = 0

A: We have negative real value of x.

Q: Given f(x) = eln(x), ƒ' (1) = _ ANSWER: Blank 1 Blank 1 Add your answer

A: Given: The function is  f(x)=exln(x)

Q: Find an equation of the tangent line to the curve at the given point  *please use handwriting not…

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Q: Discussion Unit Write an example of a function whose derivative can be found by using the following…

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Q: Do Dice Play God? from Ian Stewart's Nature's Numbers. Explain your understanding and give some…

A: Not only does God definitely play dice, but He sometimes confuses us by throwing them where they…

Q: Calculate the derivative of the function. 6 √t (Express numbers in exact form. Use symbolic notation…

A: See this solution in below .

Q: A ladder 10 meters long is leaning against the wall of a house. The base of the ladder is pulled…

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

Q: Given the vector function 7 (t) = (cos 2t, sin 2t, t), find 7(2), Ñ(1), B(4)

A: Given that  r→(t)=cos2t,sin2t,t

Q: lim X118 √x²–2x+3 x+7

A: Replace x with -x and then go ahead because it will make easier to find the limit at +infinite

Q: Given the functions: m(x) = √x + 3; n(x) = x³ − 4; p(x) = 9x − 5. Evaluate (m • (n − p))(3). A. 0 B.…

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Q: Find the slope of the second equation. 4x - 9y = -9y = y ])x+ So the slope of the second equation is…

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Q: Solve the differential equation below cos √y 1 dy 2√y tan x √4 + sin² x TU for 0 0, 2 and identify…

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Q: 4. Ignacio wants to have 10,000 pesos at the end of 10 years. He decided to open a bank account that…

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Q: Simplify 3π2 sinh (πx) - π2 cosh (πx) - 3 sinh (πx) + cosh (πx) = 0 on the interval (0,1).

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Q: a. f(x) = √x 2 b. g(x) = √x²

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Q: Given that the acceleration vector is a (t) = (-4 cos(2t), -4 sin(2t), -4t). the initial velocity is…

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Q: If f(x) = 8x², find: f(4+h)-f(4):

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Q: Find the slope of the tangent line to the curve f(x) A 63/16 -63/16 C-16/63 D 16/6 1 3x³ + 2x² - 4x…

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Q: Let v = (7,8). Suppose w E R² is perpendicular to v, and that ||w|| = 7. Find both possible vectors…

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Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) d dy (4y³ + 15y4/5) =

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Q: What is f'(x) for f(x) = secxcscx? O sin²x-cos²x sin² x cos²x O sin x + cos x sin x cos x sin x cos…

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

A: ∫ t lnt+4dt

Q: 2. Evaluate each limit, if it exists: a)lim ²-4 x-2 X-2 b)lim 1-x² x-1 1-x x²-4x x-0 x(x-1) c) lim

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Q: y = (ex-e-x) (ex+e-x)

A: To find the derivative

Q: For f(x)=x2+2 and g(x)=square root 3-x, find the following a. (f.g)(x) b. the domain of f.g

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Q: choose the correct answer The grades of Michelle in seven subjects are 84, 91, 94, 84, 92, 91, 93…

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Q: Find the general solution of the following equation.

A: Find the general solution of  dy/dx= yex

Q: Question Find the average rate of change of the function f(x) = x² - 8x + 22 on the interval [3, t].…

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Q: Find the difference quotient f(z+h)-f(1) h for the function given below. f(2)=-7z+6

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Q: If y = (Inx)² + 15, find dy dx

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Q: choose the correct answer Which recursive rule best describes the sequence  -3, -1, 5, 23, 77 … ?…

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Q: -10 -8 Challenge #7: Sketch the derivative of the function, h(x). T √ -6 -4 S -2 -6- 4 --2- 0 -2 -4.…

A: when x<-2h(x) is constant

Q: Minimizing a SUM Find two positive numbers whose sum is 100 and the sum of whose squares is a…

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Q: dy dx + 2y = f(x), y(0) = 0, where f(x) = 1, 0≤x≤

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Q: Find for y = 6sin²(2x). Əy 3x

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Q: The logistic growin P(t) = is used to model population growth, where Po is the initial population at…

A: Given : P0=1500K = 1000r0=0.1P=90%P=0.9P=0.9*1500=1350

Q: Find the arclength of the curve r(t) = (7 sint, -3t, 7 cost), -6 ≤ t ≤6 PESUGIHAK

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Q: What does the limit statement lim x46 represent? Select one: O a. f'(6), if ƒ(x) = ln(x+2) O b. 6 O…

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Q: Use the figure below to estimate the indicated derivatives. If a derivative does not exist, enter…

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Q: Te the position vector Fees - bsinut î+ bcoswt} +ck where (W) is the angular Velocity and b.c. are…

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