Differentiate y = 7x³ +6

Q: 4. Letf & g be the functions defined by below by (x²-2 ƒ(x) = √x −e* +(x + 1)(x² −1) & g(x)= 6x-11 x…

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Q: If f(x)=x² [f(x)]³=2x-8 and f(1) = 2, find f'(1).

A: we are given the equation, and we need to find the value of f'(1).

Q: Consider the following equation. cos (y) = 27 Use implicit differentiation to determine an…

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Q: Solve the differential equation. du dt = (5t^4)/(ut^2+u^4t^2)

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Q: Suppose z = x² sin y, a = 48² t², y= 8st. A. Use the chain rule to find and all x, y, s and t in…

A: z=x2-t2 ,y=8st

Q: Evaluate and simplify y'. y = tan (2x³ + 5x+6)

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Q: es of x in the interval [0,2ë] at which the graph 0 as a horizontal tangent.

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Q: 5. §11.5. Q31. Use a chain rule to find the value of dw dxs=1/4 if wr² - rtan 0, r = √s, 0 = πs.

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Q: Solve e³t = 2000 for t. t≈ (Round to three decimal places as needed.)

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Q: Solve for x. 4x = 26 Select the correct choice below and, if necessary, fill in the answer box to…

A: The given equation is

Q: Differentiate the function. y' = y = (In(1 + e*))5

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Q: 6 Use the following methods to estimate fdx: X 2 a. Left endpoint approximation L 3 b. Trapezoidal…

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Q: Use properties of exponential functions to solve each equations. Show all steps and give the exact…

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Q: Represent the plane curve by a vector-valued function. (There are many correct answers.) 3x + 8y −…

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Q: Problem 2: Use Cramer's Rule to solve for the System of Equations by hand: -x + y = 10 5x + 4y = 2

A: By using Cramer's Rule to solve the following system of equations.

Q: 7. A = [1 2 3], B = 3 4 5

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Q: Consider the parallelogram induced by the vectors +1-[1] and di-[222] where x is an unknown real…

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Q: Differentiate. f(x) = In f'(x) = X 6

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Q: Use the arc length formula to find the length of the curve y = 7 − 4x, −1 ≤ x ≤ 2. Check your…

A: For a function  , The arc length from is given as follows

Q: Determine the equation of the tangent to the graph of y-²-4-√x at the point (4,8). a) y=-7x+36 b)…

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Q: In 2004, an art collector paid $155,328,000 for a particular painting. The same painting sold for…

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Q: Find the maximum rate of change of f(x, y, z) = x+y/z at the point (3, 4, 5) and the direction in…

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Q: 2. What is the equation of the circle that passes through (3,-4), (5, -6), and (1, 2)? 3. Find the…

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

Q: The curve of a function f (x) is given in the figure below and you are asked to draw on it   a)…

A: The curve of the function f(x) is shown as,

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Q: Write an equation for a line perpendicular to y = 5x - 4 and passing through the point (10,-7) y=

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Q: For the demand function q = D(p) = 344 - p, find the following. a) The elasticity b) The elasticity…

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Q: Differentiate the following function with respect to : cos (cos(x))

A: The function is  Here we have to find the derivative of the function

Q: 1. Find the equation of the tangent at the given point: y=x² −2x² +4 at (2,4) Transcribed Image…

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Q: Find the directional derivative of f(x, y) = sin(x + 2y) at the point (5, 5) in the direction = 3/4…

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Q: 3a If f(x) is continuous and ſ³ª f(x)dx = 496.8, what is a [" Round your answer to two decimal…

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Q: Find an equation of the line tangent to the following curve at the given point. y=9x +4 sin x;…

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Q: Compute the result of counterclockwise rotation of a vector a = absin (a) 81 ∞as 23 by an angle = ³.

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Q: Use the second derivative test to find the x-coordinates of all local minima given the following…

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Q: 4. Find the following limits. If the limit does not exist, write DNE and explain why. If the limit…

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Q: A spherical tank with a radius of 3 meters is half-full sitting on the ground. Set up an integral…

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Q: Find the intersection of the line x = -1 + 2t, y = 3 + t, z = 4 - t with the yz-plane. O (1, -3, -4)…

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Q: Find the GCF of the expressions. 15a8b(c – 7) and 12a¹⁰b7(7 — c)

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Q: e blanks: -) = = [((x) E 1x) = nx) = (b) & (x) = (d) [f(x) · g(x)] = (f ©. [3] dx = (h) (cos x) =…

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Q: f(x)=x54x

A: Given that functionWe have to find the derivative of the given function

Q: Due Math 31 Chapter 9 Review Assignment 1. Verify y(x)=c, sin x + c₂ cos x-(cos x)In(secx + tan x)…

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Q: Determine the derivative for each of the following equations. dy dr a.y=sin (8 x) ⇒ b.y = 8 cos (z)…

A: (a) y=sin⁡(8x)

Q: 1. Consider the second-order homogeneous linear differential equation, y"+p(x)y'+q(x)y=0 (a) Let y,…

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Q: Find the area of the following region. The region inside one leaf of the rose r = 8 cos (30) The…

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Q: 7x 1+2x 2+1 x_3+8 x_4+9x_5 = 69 9x 2+3 x 3+4x_4+4 x 5 = 54 4x 1 + 6 x 2+5 x_4+4 x 5 = 40 2x 1 + 10 x…

A: We solve the following system of linear equations using the Gauss-Jordan Elimination Method:

Q: If a snowball melts so that its surface aree decreases at a rate of 10 cm2/min, find the rate (in…

A: Shape of snowball is sphere.