g. y=5²+-8-tan (log(x-3x²))

Q: Combine into a single logarithm: -2log(x) + log(x + 1) + 5log(y)

A: lnxn=nlnxlnab=lna-lnblna.b=lna+lnb

Q: 6 2 110 31 10- 20 6 X

A: I think it should be f(x)>0 or f(x)<0 or f(x)=0. Please see the below answer.

Q: Given that f(x) = x³h(x) - h(1) = 5 h' (1) 8 = Calculate f'(-1).

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth…

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Q: Find a parametric description r(t) for the following curve. The line segment from (8,6,5) to (3,5,6)…

A: Find a parametric description r(t) for the following curve. The line segment from (8, 6, 5) to (3,…

Q: 11. Let f be the function f(x) = x² In x. For what value of x is the slope of the line tangent to th…

A:

Q: Given the vector-valued functions i(t) = et + et + 5tk (t) = 3ti + 3t²j5k d ind(u(t) (t)) when t =…

A: Given vectors:- u→t=e5ti+e-4tj+5tk v→t=3ti+3t2j-5k

Q: Find the indicated partial derivatives of: дz дх Oz au || || Z= 4x x2+y2

A:

Q: Question 14 Describe the rational zeros of f(x) = x3 - 8x²-x+8 A 2 positive zeros and 1 negative…

A: Given :- fx=x3-8x2-x+8

Q: east one real value of x? =x² +1 لاح * 1T for all real values of c. h(x) = |x| d. j(x)=x²-3x…

A: Function is differentiable everywhere on R if it's derivative is defined everywhere on R.

Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx B) Write the equation for the…

A:

Q: Find an antiderivative of 3 z3 +4 z5 26 in the variable z where z > 0. Remember to include a "+ C"…

A: The given expression 3x3+4x5x6, where x>0. We have to find antiderivative of the expression.

Q: Find h'(x) given h(x) = 6x√√x. 3 O ○ 6x² 09√x 6x7 6+x7² None of these

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Q: Show that the given curve c(t) is a flow line of the given velocity vector field F(x, y, z). c(t) =…

A: We have to show the following conditions according to the given information

Q: Convert the equation 8x² - 8y² = 6y into polar form. Express your answer as an equation r(0).…

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Q: Find the indicated partial derivatives of: θω Ər dw მs dw Ət || || || w = √2r² +68² + 6t².

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Q: X 1+√x 8.) f(x) = -

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Q: -5 0 2 3 What is the global minimum of the function f(x)= |x - 21 on [-5, 5]?

A:

Q: 4. Find the average value of f(x)=√√x over [-8,1].

A: Given query is to find the average value of function.

Q: Let F(t) = Find f(t)dt fr(t)dt = ([ 1 -5t + 4 , 2 cos(3t), √t-3 (don't include the +C) – 3). >+C "

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx

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Q: Your company determines that the marginal cost, C', of producing the xth unit is given by the…

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Q: -2 0 1 O: 2 Find the absolute maximum of f(x)=√√4x2² on [-2, 2].

A: Here we have to choose the correct option.

Q: Σ n=1 h + 1 2² η

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Q: More salt is being added to a container of salty water. The amount of salt in the water at time t is…

A:

Q: Using the u-substitution u = 3x² + 1, identify f such that the integral =) = help (formulas) x 3x²+1…

A: Solution Given that  u=3x2+1

Q: (a) lim 자 200 I

A:

Q: Find an equation of the tangent plane to +In (2x-2) at the the surface 2² point (1,1,1)

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Q: 6. The slope of the line normal to the graph of y = 2 In(secx) at x = is

A:

Q: 3. Write parametric equations for y = -4x + 1 for the given definitions of x. x = 1²/22 a. x = b. x…

A: Explanation of the answer is as follows

Q: Question Find the area of the region inside r = √2sin (0) and outside r = 1. Enter an exact answer.…

A: To find area of the region.

Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = e5, where the value ab is as…

A: Let's find point by using Lagrange multipliers.

Q: The function f(x) = − 2x³ +39x² - 216x + 4 has one local minimum and one local maximum. This…

A: Given a function f(x)

Q: Use f(x) = log4(16x) and g(x) = 4* to answer the questions below.

A: A. Find f(g(x)) and simplify    B.  Find the range of y= f(x) - g(x)

Q: Find the positive t when the vector r(t) = (10t, 9t², 6t² - 43) is perpendicular to r' (t).

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Q: Determine if the limit 3x + 1 xxx²-x+5 exists, and if it does, find its value. lim 1. limit doesn't…

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Q: Evaluate 2 O evIn(5) 1 S ○ 1 5 0 In(5) 1 2 dư. (evin (5) – 1)

A: Let's solve given integral.

Q: Find the area of the surface generated by revolving the curve about the given axis. x = 9 cos(8), y…

A:

Q: 4. In all parts of this problem, the function f is given by f(x) = 2+1 √x = x¹/²+x-1/2 (a) Determine…

A: To find domain and limit of given function.

Q: USE IMPLICIT DIFFERENTIATION TO FIND dy/dx. WITH THE GIVEN EQ’N: y^5+x^2 y^3 = 2 +x^2 y.

A: The given equation is y5+x2y3=2+x2y

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

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Q: Find fo Select one: O a. O b. 0 с. √3x+1 O d. મકાન બૉિ da. Hint: use substitution.

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. y=x² + 18 X

A: we need to find out the coordinates of local maxima, local minima, inflection points.

Q: 1. Let x = t-1, y = t² - 2t a. Eliminate the parameter and write an equation in rectangular…

A: To eliminate the parameter and form equation in rectangular coordinates

Q: ezy -x³y +4 x 9. find the directional derivative of f at the point (1, along the direction of the…

A:

Q: Choose the correct answer. O A. B. log ₂6. log ₂y + log 2² log ₂6+ log 2y + log 2² C. This cannot be…

A:

Q: 1. Given that sin(ryz) = x + 2y + Arctan(y), use implicit differentiation to find

A: note : -  since you have asked multiple questions but according to bartleby guideline  i only have…

Q: y 10 40

A: The given graph is

Q: Suppose that the monthly marginal cost for firefighting portable water tanks is C'(x) fixed cost of…

A: To solve the following problem

Q: An annuity is a fund into which one makes equal payments at regular intervals. If the fund earns…

A: The differential equation is given as , y'=d+ry where r is the interest rate and d is the deposit…