Suppose Find the value of f(10). f(10) = _. d _ƒ(x) = 6x, f(1) = 8. dx

Q: Find f''(x). f(x)=5x2-11x-9/x2

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Q: ㅍ 2 Evaluate the definite integral 1 0 +1 24 ○ㅠ-1 T3 O² +1 + C 24 0 1 +1 ○ T3 24 - 1 x² + cos(x) dx.

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Q: se that F(x) = f(g(x)) and g(3) = 6, g' (3) = 4, ƒ'(3) = 10, and ƒ'(6) = 7. Find F'(3).

A: Topic:- application of derivatives

Q: nd the equation of the tangent line to the curve y = at the point (5, 10). The equation of this…

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Q: 9. f 6 sec¹ xdx

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Q: Use what you have learned in Calculus II to find the area of the triangle made up of the points…

A: Let's find area of hexagon.

Q: x5+2x4+x². x² +2 After the numerator is divided by the denominator, f(x) = a. What is the oblique…

A: The given function is:f(x)=x5+2x4+x2+4x4+2

Q: The position of a particle moving along a coordinate line is s=root 28+4t​, with s in meters and t…

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Q: Find an equation of the tangent line to the graph of f at the given point. f(x) = √√√x, (25, 5) y =

A: Given query is to find the equation of the tangent.

Q: Suppose F(3) = 3, F(7) = = -9, and F'(x) = f(x). Also suppose G(3) = 2, G(7) = 5, and G'(x) = g(x).…

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

A: We have to find the vertical and horizontal asymptotes.

Q: Find dy/dx. y=3x7

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Q: The graph of a function is shown. y 800 400 20 40 60 (a) Find the average rate of change of f on the…

A: Note:  As per our guideline we supposed to answer only three subparts to get remaining kindly post…

Q: Question 1. equation : y cost + 2te³ + (sin t + t²e³ − 1)y' = 0. 1: Consider the differential a)…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: c. y² = 2cx² + c²

A: Given  differentiate both side

Q: For the series -2 + 3 + (-9/2) + 27/4 + …, S14 =

A: It is a Geometric Progression where first term is -2 and common ratio is -1.5

Q: An object is thrown. tt seconds after it is thrown, its height is given by h(t)=-16t^2+128t+200…

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Q: Question Find the interval of convergence for the power series representing f' if f(x) interval…

A: We have to find the interval for convergence.

Q: Evaluate the following expressions. Your answer must be an angle -T/2 ≤0 ≤ in radians, written as a…

A: Evaluate the following expression  sin-1(sin(-7π4) sin-1(sin(7π6)cos-1(cos(5π4) cos-1(cos(5π3) And…

Q: Prove that for all values of λ and u, the planes 4x 3y 5+μ a b 2x y 2z x 2y 2+2+²-1+2 ² 2 ²-2) = 0 -…

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Q: The following differential equation is exact if m=0 dy_ mx²y+5x dx 8y Select one: True O False

A: dydx=mx2y+5x8y

Q: Find the inverse of the following function and state its domain. f(x) = 8 cos(12x) +7 Type 'arccos'…

A: solution:-f(x)=8cos12x+7Range of cos function is[-1, 1]Range of f(x): 8[-1, 1]+7Range of f(x): [-8,…

Q: Solve the initial value problem for r as a vector function of t. d²r Differential equation: = -34k…

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Q: Find the points of local and absolute maximum and minimum for the function f(x) = x² + ²/ over…

A: The given function is:f(x)=x2+2x ;            over  1, 4

Q: 2) Evaluate 21 S.SI xy + y" dy dx

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Q: Find dy/dx. y=x0.75

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Q: Suppose a product's revenue function is given by R(q) = − 3q² + 700g, where R(q) is in dollars and q…

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Q: Find the equation of the tangent line to y 32²—6x+1, at x = 2.

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Q: The rabbit population in a forest area grows at the rate of 9% monthly. If there are 290 rabbits…

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Q: dy 16. for y=(csc1+secu)³ du

A: according to bartleby guide line we do only first part of multiply questions   16)    y=(csc1+secu)3…

Q: 1 3 2 1 -1 -2 The graph above shows the base of an object. Compute the exact value (in terms of T)…

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Q: INSTRUCTIONS: Differentiate with respect to g(x) = ln(x√x² - 1)

A: according to bartleby guideline we do only first part g(x)=lnxx2-1d…

Q: Differentiate. y=12 sqaure root of x

A: d dx(xn)=nxn-1ddx(constant)=0

Q: Question Find the Taylor polynomial p2(x) for f(x) Provide your answer below: p₂(x) = 5e at x = 1.

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Q: Solve the differential equation. (9 + tan y)y' = x² + 9

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Q: LIM x to 09 tanh(x)/tan(x) using the L'hospital's rule

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Q: The differential equation [In(4y) + 6x³]dx + (x + yº)dy = 0 4y is exact. Select one: O True O False

A: Solution : Given that

Q: Help me Solve the following(step by step) a) 3-4|x+3| ≥ 1 b) |x^2| +5=0 c) x^2 +4x=2x+4 d) 6-2x>-x

A: (a).The given inequality is:3-4x+3≥1

Q: company determines that monthly sales​ S(t), in thousands of​ dollars, after t months of marketing a…

A: Topic:- application of derivatives

Q: Find the points of local and/or absolute maximum and minimum for the function f(x) = 1+x over…

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Q: STRUCTIONS: Differentiat respect to x) using any method. (x) = √x + 2x X _x) = x sin-¹(x)

A: Topic:- application of derivatives

Q: 8) The volume of the solid generated by revolving the region bounded by 3π 5Tt y = cos x, y = 0,…

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Q: lim x to infinity (9x-ln(x)) using l'hospital's rule

A: Evalute the limit using lhopital rule limx→∞ 9x-lnx

Q: b=? The following equation is exact if (bxy²+4)dy=(7x-4y³) dx O 12 O-12 04 O None of the others -4

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Q: Find the inverse Laplace transform f(t) of the F(s) = ln ( ² s² +81 s² + 16 function F(s) In f(t) =…

A: To find inverse Laplace transform.

Q: Determine whether the following statement is true or false: If both matrices A of the size 3 x 3 and…

A: Giben data÷ A is an invertible (non singular) matrix. B is an invertible (non singular) matrix. Size…

Q: A piece of cardboard measuring 10 inches by 12 inches is formed into an open-top box by cutting…

A: Volume

Q: Find the follow indefinite integral. Stan +C tanº x sec² x dx

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Q: Find the Taylor polynomials p1​, ​..., p5 centered at a=0 for f​(x)=4e^−2x.

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Q: 7 √x Find the total cost of the first 100 units (of increasing production from x=0 to x=100) A…

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