Assume that f is a one-to-one function. - If f(3) = 5, find f −1(5). - If f −1(2) = −9, find f(−9).

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Q: Find all relative extrema of the function. (If an answer does not exist, enter DNE.) f(x) = 2x² + 3x…

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Q: dT Consider the differential equation x +T=e* with 7(0) = 1. What is the approximate value dx of…

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Q: True or False

A: to write down that the given differential equation is true or false

Q: Consider two differential equations: 1. exdx + (xey + 2y)dy = 0 II. xdy + 2y²dx = 0

A: To find Exact & non exact differential equation

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Q: A) 3.14 B) 3.19 C) 3.23 D π dT Consider the differential equation x dx of T (2) ? +T=e* with T(0) =…

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Q: Integrate. f8x² si 8x sin (13x) dx = + C

A: The objective is to find the integration..

Q: Consider the function f(x)= Evaluate lim f(x) and lim f(x). x → 2- X→ 2+ O O lim f(x) = 13 x → 2-…

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Q: Use implicit differention to find an equation of the tangent line to the curve at the given point:…

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Q: · [₁² b. e2r sin r dr

A: The given integral is ∫e2xsinxdx

Q: 2-4 - 10 i. What is the domain of g? b. Suppose g(z) ii. What is the range of g? Preview Preview no…

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Q: ven the graphs of f(z) and g(z) below, find the composition of functions f(g(4)). lect the correct…

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

Q: The graph of y = f(x) is shown below. Provide your answer below: -7-6-5-4-3-2- 1 2 Draw the graph of…

A: Given query is to find the graph after transformation.

Q: 3 tan ³x dx

A: Given:      ∫tan3x dx Rewrite:     =∫tan2xtanx dx    we know that         tan2x=sec2x-1…

Q: A stock analyst plots the price per share of a certain common stock as a function of time and finds…

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Q: 2. Prove that the general solution to ndm + mdn + mn (3dn + dm) = 0 -3n-m is Cmn = e

A: To prove that the general solution to n dm+m dn+mn3dn+dm=0 is cmn=e-3n-m.

Q: 7. Find the derivative for the function f(x) =(√√√x)" 8. Find for √3x² +1(3x² +1)³ dz for Y 3x3x 9.…

A: 7) f(x)= sqrt(x)x 8)y= sqrt(3x2+1) (3x4+1)3 9) y= 3x3x

Q: Using the position graph below, determine the total distance the particle traveled. T T -3 -4 VA -5+…

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Q: Given the vector-valued functions u(t) = ei + e-tj- 3tk v(t) = − ti + t²j + 3k find(u(t). v(t)) when…

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Q: Question 6. Use the variation of parameters method to find the general solution to the following…

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Q: 3 divided 5

A: Topic- division we are given, 3 divided 5

Q: K Evaluate using integration by parts or substitution. Check by differentiating. [(5x²-2x) e 7x dx…

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Q: 2. a) Find the area inside the graph of r = 8 + cos 0 and the right of y -axis. b) Determine the…

A: Area of a region in polar coordinate is Area=∫∫rdrdθAnd length of a curve in polar coordinate is…

Q: Find the line through (7, 1, -6) that intersects and is perpendicular to the line x = -1 + t, y = -2…

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Q: 2. Water runs into a conical tank at the rate of 9ft³/min. The tank stands point down and has a…

A: Given query is to find the the rate of change of height of water.

Q: 5 I. Given fix₁ 4 ₁2) = x²+2²-1 at which h is continuous → determine all 7 · 4. points

A: A multivariable function have points of continuity where the function values exists.

Q: (12 points) Use the graph of y = f(x) in the accompanying figure to estimate the value of ƒ'(2).…

A: The derivative of the given function at "x=2" can be found by evaluating slope of red line

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A: The derivative of a function at a point is the slope of the tangent drawn to that curve at that…

Q: Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are…

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Q: Given 5 O a.) 5 O 5 f(x) dx = 12 and 6 [3f(x)+2g(x)]dx + f(x)dx O O b.) 10 c.) 40 5 d.) 32 = 12 and…

A: I am attaching image so that you understand each and every step.

Q: at at which a company's costs equals its nts cost, in dollars, of x units of a product For the sale…

A: Topic:- algebra

Q: 7) In recent years, many states have passed laws against smoking in public buildings. The total…

A: Solution: We have, N(t) =501+19e-0.4t

Q: du Which of the following is the general solution of dx = -xu² ? 2+xu²

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Q: d is partial derivative show that z = xe^y + ye^x is the solution to the partial differential…

A: Note: Since the student has made an typing error by writing d^3z/ox^3 in the first term of the…

Q: If f(t) = (2t - ), find ƒ' (t).

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Q: Find the total area between the x-axis and the curve f(x)= = x = 1 and x = 9. O a.) (10ln5-5ln9)…

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Q: A B The integrating factor for (2y - xy2)dx − (3x+x²y)dy = 0 is 5 2xy 1 5xy .. ..

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Q: a Estimate the value of 2 3 x +4 width using Simpson's rule. Round the final result to five decimal…

A: The objective is to evaluate integral using simpsons rule.

Q: large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt…

A: we will  find the required.

Q: A B (U) D The integrating factor for (2y - xy2)dx - (3x+x²y)dy = 0 is 5 2xy 5xy xy 1 2xy

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Q: Determine the area bounded by x = -y² + 10 and x =(y-2)²

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: We need to find  out the volume of revolution for the given function on the interval given.

Q: 7 sin x Let f(x) = 4 sin + 2 cos x Then f'(x) = The equation of the tangent line to y = f(x) at a =…

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Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic…

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Q: Using the properties of combinations of continuous functions, determine the interval(s) over which…

A: The function is  f(x)=x2-3x-18x+2

Q: The point Q(-7,7) is translated by T[23] and then receded with the y=-x axis then the resulting…

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Q: f(t) = = 1 2 √t + 2, (t+5), t≤0 0 1

A: The given function ft=1,t≤012t+5,0<t≤1t+2,t>1 We have to check the function is differentiable…

Q: f(x, y) = 3y-6x+3 In(1-x)+1

A: we know Domain of lnX=(x;  x>0 )

Q: 2-x², x20 Fiven f(x) = 4 20). x+c x < 0 find the value c so that f(x) will be continuou

A: Topic:- calculus