Find the derivative of the fünction. y = 7(6 - x2)6 %3D

Q: find the afproyimate Value of

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Q: Having been asked to design a brass plumb bob that will weigh in the neighborhood of 180 g, you…

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Q: Evaluate the integral. 5 cosh(t) dt

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Q: Find a positive number z such that the sum of its reciprocal and 5,324 times its square is as small…

A: Let the number is x than we need to minimize function f(x)=1x+5324x2, x≥0

Q: Solve the initial value problem 16y" – 24y' + 9y = 0, y(0) = 3, %3D y'(0) = 5. y(t) = How does the…

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Q: Integration by Parts 1. Sx³e*/2dx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the 5th degree Taylor Polynomial centered at x=0.  sin(2x) ln(1+x)

A: Given that    sin(2x) and ln(1+x) To find 5th degree Taylor polynomial centered at x=0

Q: The size P of a certain insect population at time t (in days) obeys the function P(t) = 100 e 0.09t…

A: In multiple question we are allowed to answer only first three sub parts

Q: Plot the following functions over the defined

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Q: Evaluate the integral. 4 f(x) : 16 – x2 if -4 < x < 0 0 < x < 4 f(x) dx where if

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Q: x y Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area…

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Q: (a) 1+2+4+ 8+16 + 32 (b) -1+2- 4+8 – 16 +32 4 16 (c) 64 256 5

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Q: 1. Sketch and find the area of the region bounded by y = In x, y =1- x and y = 2.

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Q: 1: Find the arclength of the a, curve V1 - x, 0 < x s 1, Is the given series 2 - 1 + 2 1 + 4 ... a…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first one. If you…

Q: Evaluate the following integral by changing to cylindrical coordinates: 4–y2 3 xz dzdrdy. x²+y2…

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Q: Find the derivative of the function. Express the answer using positive exponents only. y = (4x5 –…

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Q: Find an equation of the tangent line to the curve at the given point. y = sec(x) – 2 cos(x), P = 1 3

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Q: Find the derivative by the limit process. f(x) = 14 – x2 Step 1 f(x + Ax) - f(x) Complete the…

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Q: Find the critical points of the following function. e* + e f(x) = - x

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Q: 2. Simplify the following: 2 (m²)? ii) (62n* 1 ) ( 9 2n) (35+1 ) (2 2) i) ii) (2m³) 2 (3m) 2

A: Topic:- simplification

Q: If 0 = then %3D sin(e) = cos(0) = CO: !3! Give exact values. No decimals allowed! V2 With functions…

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Q: 3. As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,000…

A: Let's find.

Q: 78 |x cos(nx)dx

A: As per guidelines we will solve one question

Q: TC Find all solutions of the equation in the interval 0, 2n). cosx V 1+sinx Write your answer(s) in…

A: We know, sin2x+cos2x=1 for all real x sinx=0 implies x=nπ, for all integer n sinx=1 implies…

Q: 1. Which of the following is equal to the first derivative of a function? A) point of tangency B)…

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Q: 3) Find the average value of the function f (x) = 2sin ( Tr) cos ( Tx) on the interval [1,5]. --;…

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Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(X), and…

A: Topic = Algebra Px=Dx·Qx +RxPx=-x2+x-3+8x+1

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

A: =limn→∞ ann=limn→∞ 3n2n+13n1n=limn→∞ 3n2n+13=limn→∞ 32+1n3=limn→∞ 32+03limn→∞ |an|n=278

Q: (a) Find the second derivative of the function y = 2x² sin(x). (b) Find the derivative of the…

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Q: Determine the equation of the plane that contains the points P=(1,-2,0) P=(1,-2,0), Q=(3,1,4)…

A: Here we have to determine the equation of the plane that contains the points P(1,-2,0), Q(3,1,4) and…

Q: Use the function f and the given real number a to find (f ) (a). (Hìnt: See Example 5. If an answer…

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Q: Find the indicated terms of the geometric sequence with the given description. The third term is…

A: To find the indicated terms of the geometric sequence with the given description. The third term is…

Q: EXERCISES 4:Find the tangent line at the given point 1. Xy = -4, (2, –2)

A: Equation of tangent line of a curve y=f(x) at P(a,b) is given by, y-b=dydx(a,b)(x-a) Implicit…

Q: Use the simple interest formula to determine the missing value. p= $1475, r=?, t 2 years, i= $41.30…

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Q: y=(x+5)^x Differentiate

A: Solution: y=(x+5)^x dydx=ddx((x+5)x)

Q: Consider the geometric series 2n +1 Σ 15 (-3)" n =0 a) : What is the first term of the series First…

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Q: Rewrite the product as a sum or difference. sin(-x) sin(3x)

A: Topic = Trigonometry

Q: Use logarithmic differentiation to find dy/dx. y- + 1(x - 7). (x - 1)(x + 7) x> 7 Step 1 The given…

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Q: A surveyor in a helicopter is determining the width of an island, as shown in the figure. (Round…

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Q: Suppose you know F(11) = 71, F(3) = 16, where F'(x) = f(x). Find the following. (You may assume f(x)…

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Q: The normal line to x2 – xy + y? = 3 at the point (-1, 1) intersects the curve a second time at which…

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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: Q2/ Complete the following table to find the values a , b,c and s y A -1 2845 308 3162 S 3544 a 2…

A: Given

Q: Current Attempt in Progress Find the solution of the given initial value problem y" + 9y' = 0, y(0)…

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Q: 10. Determine whether the improper integral converges or diverges 3 dx (x – 1)/

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Q: The double integral R f(x, y) dA over the region R = {(x, y)| – 2 <x< 2, x² – 8 < y < -x²} can be…

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Q: if t ß (-2t + 1 h(t) = {t² 2+1

A: Topic:- limit and continuity

Q: 25) Show that the curve with parametric equations x = tcos(t) , y = tsin(t), lz = t ies on the cone…

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Q: 2. History Bookmarks Window Help ut.blackboard.com Dashb... Mail - Abigale E.. DMail - Abigale E...…

A: Given:     Triangle is given

Q: 2. Suppose that the triangle with vertices (-1,–1), (0, 1) and (1, –1) is revolved about the y –…

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