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Q: Differentiate implicity to find dy/dx

A: Use the basic concept of the differentiation and simplify.

Q: Let f(x) = log6(– 3x² +x) + 6ªª + 7V2 Find f (x)

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Q: (a) Find the inverse function of f(x) = 9x – 7. %3D (b) The graphs of f and f- are symmetric across ...

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Q: Find f[g(x)] and g[f(x)] f(x)=x/6+5, g(x)=4x-3

A: Given function is : fx=x6+5gx=4x-3 To find the value of fgx and gfx

Q: find the average rate of change of the function over the given interval or intervals. 6. P(0) = 0³ –...

A: The function is given by Pθ=θ3-4θ2+5θ in the interval [1,2]

Q: (3 Scoša dx

A: we use- cos5x= cos x (cos2x)2 but sin2x + cos2x=1 therefore- cos5x= cos x(1-sin2x)2 after the above...

Q: 9 (rounded to the nearest ten-thousandth)? 32 a. What is the decimal for 7 (rounded to the nearest t...

A: a)What is decimal for 9/32

Q: n + 2 > n .Use mathematical induction to prove that the statement is true for every positive inte...

A: n+2>nfor n=1P(1):1+2>1P(1):3>1therefore P(1) is trueassume that P(k) is trueP(k): k+2>2 ...

Q: Calculus Question

A: Given, The median home price in the US over the period January 2010- January 2015 can be approximate...

Q: A body moves on a coordinate line such that it has a position s=f(t)=t^2-6t+5 on the interval 0 is l...

A: The position of the body is given by, ft=t2-6t+5, 0≤t≤5

Q: 8. z = tan (x/y), x = u cos v, y = u sin v; %3D (1 2

A: Given that : The function, z = tan-1xy , x = u cos v , y = u sin v ; ( u, v) =1.3 , π6

Q: Consider the following. w = xyz, x = s + 5t, y = s - 5t, z = st? (a) Find aw/ds and aw/at by using t...

A: Solve for partial differential

Q: Solve the given equation. (Round your answers to five decimal places.) (a) ln(x) = 0.43 x = ...

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Q: 1. A weight is suspended from a spring and vibrating vertically according to the equation F(...

A: According to the Bartleby guidelines only one question can be solved at one time, post the remaining...

Q: Integrate using trigonometric substitution

A: Given∫1x2x2+100dx

Q: se the product property of logarithms to write the logarithm as a sum of logarithms. Then simplify i...

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Q: Find the general solution of the equation. Express the solution explicitly as a function of the inde...

A: (1) e3ty'(t)=-6 Simplify the equation. y'(t)=-6e3t Integrate the equation both sides. ∫y'(t)=∫-6e3ty...

Q: Find the relative maximum and minimum values. f(x,y) = x° +y° - 3xy

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Q: An airplane flies at an altitude of 5 miles toward a point directly over an as shown in the figure b...

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Q: 1. Consider the function f(x) = -x² – 4x – 3 a) Determine f(-4), f(a), and f(a+ h).

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Q: Find the sum of the terms of a series 2n-1

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Q: Please, provide clear and detailed steps for all parts.

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Q: Suppose the demand for a product is given by p = −0.8q + 150 and the supply for the same product is ...

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Q: Q1. Determine the value of c and the covariance and correlation for the joint probability mass funct...

A: Solve for c

Q: Calculate, to the nearest cent, the future value FV of an investment of $10,000 at the stated intere...

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Q: The demand function for a fad item is demand(t) = 1000f² - 1.08', with t measured in months. What's ...

A: Given, Dt=1000t2·1.08twhere t measured in months

Q: Fill in the blank so that the resulting statement is true.

A: we have to fill in the blank so that the resulting statement is true. nr=_________

Q: Let f(x) = Vx+7. Find the area of the surface generated when the region bounded by the graph of f on...

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Q: The equation for free fall at the surface of some planet (s in meters, t in secons) is s=3.94t^2.How...

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Q: Write the expression in terms of ln x, ln (x + 6), and ln (x − 2).

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Q: only use partial fractions for the integral with all steps please :)

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

Q: 24 dx Evaluate 1- cos (8x) 24 dx 1- cos (8x) %3D

A: We have to find the integral of given function.

Q: EXAMPLE 1 Simplifying Expressions with a Zero or Negative Exponent Simplify. e. Szy

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Write as the sum and/or difference of logarithms. Express powers as factors. 3 log 13 14 O A. log 13...

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Q: -y = f(x) Which of the following represents the area of the shaded region in the figure above? (A) [...

A: To find the area of the given graph.

Q: consider the triple integral ∭Ωzdxdydz where the region is located in the first quadrant and is bou...

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Q: 5 and 2/3 feet + 4 and 1/6 feet

A: Answer - 5 and 2/3 feet +4 and 1/6 feet

Q: Find the slope of line y = 2.7x

A: Given The line equation is y = 2.7x .

Q: graph each function using the techniques of shifting, compressing, stretching, and/or reflecting. St...

A: Given : The function is : h(x)=2x+2 To find the domain and range of the given function and graph the...

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 (-...

A: Definition used - For a series - ∑n=1∞rn ...

Q: 1) +3)er2+6x dx

A: As there are two questions, first one is solved here.

Q: 7. 8. В MZBOA= 3 MZAOB = 45° A MZBOC = 4 A CO = 1 B = (0, 1) CO = OA 9. 0=2,r- r= 2 3 10. 0 = - 2 =,...

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Q: Calculus Question

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

Q: EXAMPLE 3 Finding the Union and Intersection of Sets Find the union or intersoction as indicated. D ...

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts. Plea...

Q: Find the exact value of the logarithmic expression. log7343

A: Given : log7343

Q: I'm having a really hard time with this problem. Please help!!!

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

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P. ...

A: Given: Curve: y=x2-5 To Find: (a) The slope of the curve at the given point P2, -1(b) An equation of...

Q: . A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting...

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Q: For the given functions f and g, find the requested composlte function value. f(x) = x+5, g(x)%=2x; ...

A: See the explanation below

Q: Compute the length of the path r(t)= (t, 4t3/2, 2t3/2) over the interval 0<t<8.

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