DATE: Consider flu) = gw)ha). Use implicit diona Find f" L). %3D

Q: For eac. ation, determine whether it shows a direct variation (that is, shows directly proportional…

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Q: y=ln|sec3x + tan3x|

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Q: Question 3 Algebraically compute f'(1) using the definition of the derivative, given that f (x) = x2…

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Q: Find an equation of the Parabola that has focus 11. (-2,3) and Directrix y = A. (x + 2)² = 4 (y - 7)…

A: Topic:- geometry

Q: Find the Maclaurin series for the given function.

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Q: 1. lim cot x sinx X- x-nt cotx sinx

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Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x,…

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Q: 20-21) What is the equation of the tangent line to y = x3 at x=2? A) y = x - 12 B) y = 12x C) y = x-…

A: Use derivative for finding the  equation of tangent line .

Q: What are the first four terms of the sequence n+1 00 3n-1 n=1 Select one: 3 2 4 3 O None of the…

A: Given problem:-

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: To find f(x), let y = (x) and solve for x, y x - 4 Interchange x and y In the expression for X, Find…

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Q: Find (f1)'(0). dt f(r) ((0) =

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Q: The two parameter family of solutions of the DE: y" + 25y = 0 is y = c1 sin 5x + c2 cos 5x. Then,…

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Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

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Q: Item 1. Consider the given: x³ – 4x2 8(7x – 4) (x + 2)4 х(х + 8)(х — 2) f(x) = (x + 2)2 . (x + 2)2…

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Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

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Q: Is the set Z of integers countable? Why or why not? How about the set of all odd positive integers?…

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Q: Determine the convergence or divergence of the series. (If you need to use co or -co, enter INFINITY…

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Q: Exercise 3. Use the properties of definite integral in the following: a) If f f(x)dx = 12, and…

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Q: Which one of these sequences is convergent Select one: O a. none of these. Ob. 2n+9 n' nt О с. 2n+6…

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Q: A company produces x units of a product per month, where C(x) represents the total cost and R(x)…

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Q: I. Evaluate the following. 3450°-j12 a. 14 + j2 – -j15 (3450°-j12) b. j2 x 32-25° -j15 5-j2…

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Q: Calculate the first derivative of the function. Use the correct notation to label your answer. S(2)…

A: f(x)=x+x+xdifferentiate w.r.t xf'(x)=12x+x+x×(1+12x+x×(1+12x))

Q: Approximate the area bounded by the graph of Ax) = -x² + 9, the x-axis, and the vertical lines and…

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Q: 2-4x3 3. lim X→0- 5x²+3x³

A: To evaluate: limx→0-2-4x35x2+3x3

Q: 10.What value is approached by Ax f(a+Ax)-f(a) Ax in to approximate the slope of the tangent line to…

A: Given problems:-

Q: Water flows into an empty reservoir at a rate of 2200 + 15t gal/hour . What is the quantity of water…

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Q: 1 Let D= {x.y)|0sxs2,xsys1. integral x'e"dA= The x2exYdA = // x² sin(y)dA where R = [-1, 1] × [-2,…

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Q: Consider the following planes. -2x + y + z = 2 10x – 5y + 2z = 4 (a) Find the angle between the two…

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Q: 49 2s2 +16 121

A: This is a problem related to inverse laplace transform. Based on the general formula we will answer…

Q: Find the derivative of the function. g(x) = vx2 - 14x + 49 %3! g (x) = %3D

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y2 + z? = 33, (1,…

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Q: Use Properties of Tangents 1. Draw two circles that have no common tangents. | 2. Draw two circles…

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Q: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = −0.3x3 +…

A: Find your answer below

Q: (x+1)(x-7) (x - 1)(x + 7) Substitute the expression for y = on the right slde of the equaton and…

A: I am attaching image so that you understand each and every step. Note:- I suggest that this type of…

Q: (a) Find the derivative of the function f(x) = S %3D ex-1 (b) Find the derivative of the function…

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Q: Test the series below for convergence using the Ratio Test. n+ 2 34n +3 n=1 The limit of the ratio…

A: To determine the series converges.

Q: We can find the inverse of a matrix by row reduction. Suppose matrix A is given and we wish to find…

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 2-1)nn…

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Q: Use the simple interest formula to determine the missing value. p= $968.97, r= 6.5%, t ?, i=$188.95…

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Q: Question 1 What is f' (a) ? O The inverse function of f at a O The average rate of change of f at a…

A: Given problem:- what is f'(a) ?

Q: repetitions.) P(x) = x - 4x2 - 19x 14 X = Write the polynomial in factored form. P(x) =

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Q: Consider the following function. f(x) = |x - 3| %3D Find the derivative from the left at x = 3. If…

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Q: b) Determine whether the geometric series (-1)"-15n-1 00 6t" is convergent or divergent, and if it…

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Q: Substitute c = 2 in the formula for slope as follows. %3D + Ax) - g ( lim Ax- 0 m = Ax

A: We have to substitute in the slope formula.

Q: Find a particular solution y, of the differential equation: y" + 2y' + 5y = e* sin x

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Q: Use the chain rule to find the derivative of f(z) = 4/10z5 + 4x4 Type your answer without fractional…

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Q: The average rate of change of Ax) = x +x -x-1 over the interval o<xs1 is -2 1 O -1 2

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Q: If the average value of a function f(x) is 3 on the interval [0,1] then the average value of f(x) on…

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Q: x²-3x-4 if x>-1 x- 4 if x < -1 10.Why is f(x) = %3D x-4 discontinuous at x = -1?

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…