Use the quotient rule to find the derivative of the function. dy dx 2x+1 y=-

Q: Only do Q2

A: The solution is given by: x=2−5​−23​t,y=21​−2t​,z=t Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Precalc

A: +−31​,+−32​,+−35​,+−310​+1,−1,+2,−2,+5,−5,+10,−10Explanation:If you have any problem let me know…

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Q: Question: d/dx (x^lnx) = ? Pls help me w this ques. Use detailed steps and explaination. Thank you.…

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Q: Find the slope of the tangent line to the polar curve r=4-5cos(theta) at theta = pi/3

A: If you have any questions let me know in comment box thankyou for your question.

Q: Q Let x)=x+2x-8. For what value(s) of x does f(x) have a local minimum? Paragraph V B I UA Ev Ev

A: The objective of this question is to find the value of x at which the function f(x) = x^2 + 2x - 8…

Q: Let f(x) = ln(x² + 18x+87) f'(x) =

A: x2+18x+872x+18​Explanation:

Q: Find the critical points for the function f(x, y) = 5x² – 10xy + 6y² – 6y - and classify each as a…

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Q: Use an inverse matrix to solve the system consisting of the following equations. - 5x 3y-7 and 4x +…

A: The given system of equations is:⎩⎪⎨⎪⎧​5x−3y=−74x+2y=34​ First, write the system as a matrix…

Q: Let f(x, y) = 4x² + e¯y². Find critical points and classify them as local maxima, local minima,…

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Q: 2. ²x³√9+x²dx

A: Step 1:Step 2: Step 3: Step 4:

Q: Use the product rule to find the derivative of the function. (Hint: Write the quantity as a…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: 6

A: 4374πExplanation:

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A: The objective of this question is to find out how long it will take for an investment of $9,000 to…

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Q: Model the curve with a sine function. (Note that the graph may or may not be drawn with the same…

A: Answer:In this problem curve of sinusoidal function is given to us and we have to find out the value…

Q: Use the divergence theorem to evaluate      S F · dS,  where F(x, y, z) = z2x i +…

A: The objective of this question is to evaluate the surface integral of a vector field using the…

Q: Sketch the graph of a function g with the property that g'(x) 0 for x> -3. Choose the correct graph…

A: To choose the graph of a function  with the property that .

Q: VI) For the following exercises, find the y intercepts, th or slant asymptote of the functions. Use…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: I am needing assitance with the problem in the attached image, 3.6.

A: The derivative of the function y = 7x4 + 2sin(x) is: y′ = 28x3 + 2cos(x)Explanation:Step 1: Identify…

Q: Use Newton's method to estimate the one real solution of x3+4x-1=0. Start with x = 0 and then find…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: The tangent to the function y-2 sinx cos x at x=- and the x- and y-axes form a triangle. Determine…

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Q: 1 5. Given: cot(x)= π and 0<x<, find the value of the following expression using sum 20 and…

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Q: Solve and show all steps

A: I hoe this helps you! Thank you!  If there's any doubt please comment down i will surely be there to…

Q: Calculate the average rate of change of the given function over the given interval. Where…

A: The objective of this question is to calculate the average rate of change of a function over a given…

Q: Please see atrached. Thank you, and please circle your answer.

A: The objective of this question is to find the derivative of the function x^n, where n is a constant.

Q: We want to use properties of limits and algebraic methods to find x²-25 lim x--5x+5 Note that the…

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Q: What is the 7th term in the Taylor series for f(x) = 5e5* taken about x 7th term = 7-6-5-4-3-2-1-36…

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Q: A) determine the domain of the function B) determine the zeros of the function C) determine the…

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Q: Find f'(x) using the QUOTIENT RULE if f'(x) = Find f'(3). f'(3) = = f(x) 6-x² 6+ x2

A: The answers are as follows: f′(x)=(6+x2)2−24x​. f′(3)=−258​.Explanation:Steps and explanations are…

Q: A rectangle in the coordinate plane has its base along the x-axis and two vertices on the parabola…

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Q: I am needing assitance with the problem in the attached image, 3.5.

A: f′(t)=−4t−9Explanation:

Q: Calculate the monthly finance charge for the credit card transaction. Assume that it takes 10 days…

A: The objective of this question is to calculate the monthly finance charge for a credit card…

Q: 8) Suppose you are at the point (2, 1, 82) on the hill given by f(x,y) = 100-4x²-2y (where the z…

A: The objective of the question is to determine the direction and rate of change of the elevation of a…

Q: I am needing assitance with the problem in the attached image, 3.8.

A: Answers.. f'(x) =  (x3 - 6)/x3  Or  1 - (6/x3)Explanation:Step 1: Step 2: Step 3: Step 4:  Thanks…

Q: Which of the following curves, given by the parametric equations, pass through the point by the…

A: To determine the curves given by the following parametric equations,that pass through the point by…

Q: Find the sum of the x- and y-intercepts of any tangent line to the curve √√√√ÿ = √√4.

A: sum of x- and y-intercepts is 4Explanation:Step 1:Step 2:

Q: [3] (a) Evaluate dx (b) Determine if the following integrals are convergent or divergent. Evaluate…

A: Step 1:Note that you may get confused a little bit that how the singularity is removed, so see…

Q: Write an equation of the form y=a sinbx or y=a cosbx to describe the graph below. 2+ 1+ M 4 6

A: To write an equation of the form  to describe the graph below.

Q: Find lim cot 2x 2-0 CSC X

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Q: 3. Verify sin(x) + cos(x) cot(x) = csc(x)

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Q: -17 P(X?) A X X 17

A: Step 1:Step 2:

Q: Complete the given table. (Enter the logarithm function in the form log(b).) Exponential Form 45 =…

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Q: Given that h'(x) = 4x² - 2x 2x and h(1) = 2, find h(x).

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Q: Problem 3. (3 points) The graph of ƒ is shown below. Evaluate each integral by interpreting it in…

A: Solve for each area.A1 A1 = ½(b1 + b2)h = ½(1 + 3)(2)A1 = 4 unit2  A2 A2 = bh = 1(3)A2 = 3 unit2  A3…

Q: Consider the area between the graphs x + 4y = 17 and x + 4 = y². This area can be computed in two…

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Q: 3 Given is an acute angle such that sin(0) Find the value of tan 5 tan (0-1) 1 O 7 07 01 O-1 3 7 O…

A: Look at the below attachmentExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the curvature of the curve (t) = ( - 4t, – t³, 4t²) at the point t = 1. Give your answer to 2…

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Q: Consider the given limits (a is a constant, f(x) > 0). lim f (x) = 0 xa limp (x) = ∞ xa lim g(x) = 0…

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Q: Write an equation for the function graphed below.

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