If f(x) = 4sin ¹(x²), find f'(x). Find f'(0.7). Round to 3 decimal places.

Q: A producer of soft drinks was fairly certain that her brand had a 15% share of the soft drink…

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Q: Find the general solution of the equation. x5ex² + y dx + dy = 0

A: To solve the given differential equation

Q: -10 4 b= -4 -6- x 10 Identify a and b for the hyperbola with equation 6² 1.

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Q: Question Differentiate the series represented by the function f below term-by-term to find the power…

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Q: Suppose a manufacturer's revenue function is given by R(q) and q is units sold. Find the rate at…

A: Given revenue function, R(q)= -6q²+1000q Now R'(q)= -12q+1000

Q: Find the equation of the tangent line to the graph of the function f(x) = 2+1 2 the point (0₁-1).

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Q: A differentiable function f has one critical number at x = 3. Identify the relative extrema of f at…

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Q: if lim f(x, y) = f(0, 0) then (x,y) →(0,0)* f(x, y) is continuous at (0, 0) Ignore "Give your…

A: Given:lim(x,y)→(0,0) f(x, y)=f(0, 0)

Q: Given ƒ''(x) = 9x − 3 and f'(0) = 5 and f(0) = -6. Find f'(x) = and find f(1) = 3x + 5

A: We have to find value of f(1).

Q: 3) a) Given; A = 7 11 [4 2. (ii) (iii) B Use the above matrices to find the following: (i) BC ACT…

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Q: Find a degree 3 Taylor polynomial approximation of f(x) = (1+x)¹/2 centered at 0.

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Q: x = Find the volume of the solid obtained by rotating the region enclosed by the graphs a the…

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Q: ulate each of the following derivatives using only th vative. f(x) = x³, f'(2); g(x)=x+2, g'(a) (for…

A: Topic:- application of derivatives Note :- as per our guideline if more than three subparts posted…

Q: a) Find the linear approximating polynomial for the following function centered at the given point…

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Q: n n 16" is CV

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Q: f(x, y) = 2cos(2x-9y) and g(x, y) = -9cos(2x-9y). af ду og dx The partial derivatives and are equal.…

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Q: (a) lim h→0 (b) lim x-0 e cos² h - 1 h 1 + tan x X √1 - tan x

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Q: The fox population in a certain region has an annual growth rate of 7 percent per year. It is…

A: Given query is to find the growth modal and population in 2008.

Q: In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by the…

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Q: Please use a double integral (in polar coordinates) to derive the formula for the area of a circle…

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Q: Find the value of the constant C' for which the integral converges. Evaluate the integral for this…

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Q: t²y' + 2ty - y³ = 0

A: To solve the following differential equation.t2y'+2ty-y3=0

Q: y=tx y=kx base view cross-section The base of a certain solid is the area bounded above by the graph…

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Q: A few steps in the process of simplifying the given matrix to row-echelon form, with 1s down the…

A: Given: To find the missing numbers

Q: Find the second derivative of the function. f(x) = x In(√x) + f"(x)= = + 6x

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Q: Find the partial derivatives of the function fz(x, y) ye^9y f(x, y) = ye^gy fry (x, y) fyr (x, y)…

A: ∂ ∂x(xn)=nxn-1∂ ∂x(constant)=0f(x,y)=xye9y

Q: (b) X 2 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.)…

A: The given graph of f' is:

Q: A cell culture contains 7 thousand cells, and is growing at a rate of r(t) = 2e0.09t thousand cells…

A: Let's find total cell count after 3 hours.

Q: 1. After Thanksgiving with her extended family, Surrena has a splitting headache. To take the edge…

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Q: By Lagrange find √18 where √√16=4,√√25 = 5, 4.5 O 38 O 9 18 O 9 40

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Q: 4. Determine if the following differential equations are linear: a. y' = x siny+ e* b. dy = (sin x)y…

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Q: Give the interval(s) on which the function is continuous. h(k)= NOTE: When using interval notation…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  as we know, the…

Q: compute In(1/e^4)

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Q: Use a finite sum to estimate the average value of f on the given interval by partitioning the…

A: Given, Use a finite sum to estimate the average value of f on the given interval by partitioning the…

Q: Determine whether the following series converges. Justify your answer. (-9)* kl 8 Σ k=1 A. The Ratio…

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Q: B. Graph g(x) = -6 ≤ x < -2 -(x + 2)² +5, -2 ≤ x < 2 2 ≤ x < 6 -5,

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Q: 4. Assume that f and g are differentiable functions for which the following is known. f(0) = 1, f(1)…

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Q: Find the limit of the sequence an = (−1)n-1n 3n² + 1 If the limit does not exist, type "Diverges" or…

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Q: A company's revenue from selling a units of an item is given as R = 1600x − 3x². If sales are…

A: To find the rate of increase of revenue.

Q: dx (6-x²)ž 3

A: Given: ∫dx6-x232We need to evaluate the above integral.

Q: If ​f(x)= 2x2 −5x+3​, find f′(3).

A: To find f'(3)

Q: Of all rectangles with a fixed perimeter P, which has the maximum area? (Give dimensions in terms of…

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Q: Consider the function y = 1 e4x Find y'.

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Q: A projectile fired from the ground follows the trajectory given by the following equation, where is…

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Q: 7. Solve the initial value problem as a linear first-order differential equation: xy' + 2y = 2²-1+1,…

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Q: The sum of two positive numbers is 30. What is the smallest possible value of the sum of their…

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Q: The position of an object in circular motion is modeled by the given parametric equations, where t…

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Q: what point on the curve of y=7x2+4x is the slope of a tangent line equal to -38?

A: Given query is to find the point where slope of tangent is -38

Q: 1. Using the limit definition of the derivative, determine if the function f defined below is…

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Q: Determine whether the following series converges. Justify your answer. 19 k IM8 Σ k k=1 19" ... OA.…

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