dy Use implicit differentiation to find dx 2х - 3 5y? 2x +3 dy dx

Q: 8- Consider u=x², v=1/u+1 and w=vv find dv/dx

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Q: a. Sketch the

A: answer is in next step

Q: I need help with g(18).

A: Here we have to find the value of g(18)

Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 500 + 600t – 120t2, where t…

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Q: The particular solution y, of the differential equation y" + 4y' + 4y = 3x? + 1 is (1/8) (1-2x+6x^2)…

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Q: 3x2 – 2x – 8 - Let f(x) 3x2 – 11x + 6 - This function has: 1) A y-intercept at the point 2)…

A: Simplify the function using definition of asymptote.

Q: A differentiable function f(x, y) has the property that f(1, 4) = 5 and f-(1, 4) = 3 and f,(1, 4) =…

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Q: エ→2 x² -4 1- cos 2x 7) lim X sin x エ→0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: X -5

A: We have to find the function

Q: Which of the following is the particular solution of a nonhomogeneous differential equation…

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

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | sec?(e) tan°(e) de…

A: Consider the integral  ∫sec2θ tan9θ dθ

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Q: 1. For the curve x²y? = 25 at (-1,-5), find the equation of the normal line. %3D

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Q: 4 8. + 6. 16 Consider the following geometric series: 2+ + .... Identify a and r, find a formula for…

A: The given series is  2+4/3 +8/9 +16/27+...

Q: -3 < x To nenen Is fox is odd ? even or

A: Use definition of odd and even .

Q: 6 What is the recursive formula for the sequence 3, -12, 48, -192, 768,...? a 1 = 3, a n = (a n -…

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Q: Calculate the first order partial derivatives and find and df dx dy f(x, y) = /x2 + y² f(x, y) = (x2…

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Q: Evaluate f x(x- 1) dx | c. (x + 1) -x + 1) +C D.x – 1) -- 1) +c x(3 35 1)z (x- | | 35 35 35 |

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Q: Problem #2: Differentiate f(x) = [(2x3 – 8)(5x² – 3x – 9)]° and solve f'(2). Solution: Reason:

A: The given function,      f(x)=2x3-85x2-3x-93

Q: Complete the table by identifying u and du for the integral. dx u = g(x) du = g'(x) dx du = dx |…

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Q: Find the derivative of f (x) = In x- A. В. 1– x2 2 C. x2-1 D. x² +1 E. None of these 1- x2 Given the…

A: To differentiate the given functions.

Q: Problem #2: Differentiate f(x) = [(6x³ – 3)(7x² + 8x – 1)]° and solve f'(2). %3D Solution: Reason:

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Q: dy Use implicit differentiation to find dx 2x - 3 5y? 2x +3 dy dx

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Q: Question 2 ( x? Consider the function f(x) = . x2 -1 (a) Find the intercepts of the graph of f (if…

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Q: Using decomposition into partial fractions, 4x2 + 2 dx x(x2 + 2) is equal to In/x (x² + 2)| + C…

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Q: Solve the following quadratic inequality: a“ – 6x + 8 <0 Write your answer in interval notation.…

A: First we shall factor and find roots of quadratic equation then figure out intervals in which…

Q: 5. Prove lim,40 V2r +I= 1.

A: Given :limx→02x+1=1

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A: We have to find the value of a and b

Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) = 2…

A: The equation of distance S(t) as a function of time t is given asS(t) = 2 sin t , To find the…

Q: What is the absolute maximum value of the function f(x) = x³ – 3x2 on the interval (-2, 3] ? %3D a.…

A: topic- extrema of function

Q: 3 of 7 f(x) = {x - 2, *5 3 x+4, %3D is continuous everywhere. x > 3 O false O true

A: Given query is to find function continue or not

Q: The graph of f is shown in the figure to the right. Let A(x)= f(t) dt and F(x) = | f(t) dt be two…

A: Definite integration

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A: We have to find the Distance

Q: Evaluate the following integral. 2. Cos x dx -4n - 4n

A: ∫-4π6πcos2xdx=∫-4π6π1+cos2x2dx=∫-4π6π12+cos2x2dx

Q: A radius r of a spherical balloon is increasing at a rate of 2 cm/s. Find the rate of a volume V…

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Q: A) lim x→3−    f(x)= B) lim  x→3+    f(x)= C) f(3)= D) Determine whether the function f is…

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Q: 5. Consider the two curves r= / cos(0) and r= V2 cos(0), -T/2<0ST/2,whose polar plo 0.6 0.4 0.2 0.2…

A: Here, the given curves are: r=cos θ &amp; r=2cos θ

Q: Question 12 Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest…

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Q: 3n4 4n – 1 n=2 converges O diverges

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Q: Solve the given VSDE dy/x − y (dx/x^2) = 0

A: Solution: As per given data,  dy/x − y (dx/x^2) = 0 we solve by variable separable method In that…

Q: From Rogawski ET 2e section 10.7, exercise 58. Find the first four non-zero terms of the Maclaurin…

A: Given problem:-

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Q: Question 3 [ a} J: Determine whether the following series (-1)"5"-1n Σ 42n+1 n=1

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Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: here figure 1  is pependicular line because given that both intersect at 90 degree    in figure 2 is…

Q: The graphs of the first and second derivatives of a function y = f (x) are given below. According to…

A: Solve the following

Q: 1 The resulting 8. 6. The graph of y = log, x is horizontally stretched about the y axis by a factor…

A: Given , a graph y=log2x x is horizontally stretched about y axis by factor of 18 we need to find the…

Q: Problem #2: Differentiate f(x) = [(4x* – 5)(3x² – 9x – 5)]° and solve f'(2). (5 pts.) Solution:…

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Q: ind an antiderivative of the following function by trial and error. Check your answer by…

A: We have to find integral

Q: I -4 () Draw the graph of f(x) 6.

A: Using graphing calculator,