e3x - 00 1+e3x –3 dx =

Q: У(xtanx + Inу)dx + tanxdy 3D C

A: The given equation is; y(tan x+ln x)dx+tan xdy=0

Q: c =

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Q: Find the derivative of the following exponential and logarithmic functions: (i) ecosx-sinx ii. In(3x...

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Q: 4n + 4n + 1 an 2n + 1

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Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is...

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Q: У(4х + у)dx — 2(x2 — у)dy %3D0 - -

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Q: 1 4lnr Evaluate: | (A +C - 2(r5 – 3) +C 2(,5 – 3) 2 +C 15 4lnr 4

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Q: Question Select your answer. The function below is continuous on which of the following intervals? [...

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Q: Use the Integral Test to determine the convergence or divergence of the following series, or state t...

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Q: TRUE or FALSE. Type in "1" if TRUE, type in "2" if otherwise. | f(x)dæ = F(x) implies that d [F(x)] ...

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Q: Estimate the area of the curve y= from r = 0 to r = 3 by using 6 rectangles and right end-points, R6...

A: area and right end sum

Q: Q1:A/ Find the absolute maximum and minimum values of f(x) on the given interval. and local points I...

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Q: Suppose f'(x) is continuous over an interval a < x < b, and a <c< d < b. If f'(c) = - 8, then (check...

A: topic- functions and derivatives

Q: a4 +dy: - +C Ina A) True В False

A:

Q: Problem: Find the answer following of the alittrential equation. d=2 tan(a) Secix) -y"sinca)

A: Given:    y'=2 tanxsecx-y2 sinx

Q: Let f be continuous and have an inverse. Write F as the antiderivative of f, i.e., F(x) S ƒ (x)dx. U...

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Q: Find the limits of the functions below a) lim,-3 2x3 sin a b) lim

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Q: 1. Write the improper integral which is represented by the following limit. lim C2" 2x dx x2-4 2. Sh...

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Q: [1 23 A 3 4 5] Given matrix A above, in the matrix multiplication: IxA = A.What is matrix To create ...

A: Find your answer below 

Q: tan(tan 3x)dx cos? 3xl

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Q: Let s(t) = 6t – 27t² – 180t be the equation of motion for a particle. Find a function for the veloci...

A: We need to find velocity and acceleration function.

Q: What is the value of f(x)dx; if ca+1 2 S* f(x)dx = ?

A: Integration

Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

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Q: If f(x) = 9a'm(z), find f'(9).

A: This is a basic differentiation problem

Q: Suppose a consumer lives in two periods, with his income in period 1 as $100 and his income in perio...

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Q: Evaluate the iterated integral. 3 4 y+5y) dx dy 10

A: The given integral,      ∫13∫04x3y+5y dx dy

Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then factor the...

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Q: 12x2-5x+7 lim x++00 V9x²–7x+13

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: Q4: Find the following limits if exist:-- x-1 x2-x 1) limx-1²+2x-3 2) limx-1 x²+3-2

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Q: Evaluate. 3 If f(2)dz = and 9(=)dz = - 1 what is the value of g(x)dx [6f(x) + 29(z)]dz =?

A: Topic = Integration

Q: 4 Find the area bounded by Y 0, y = 0, x = 2. %3D /144 – 16x? Round to four decimal places.

A: We have to use definite integration. 

Q: Find the slope of the tangent line to the curve 3z? – 2xy – 3y3 = 63 at the point (3, – 2).

A: topic - slope of tangent line to curve

Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(x/4)+ln(4)

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Q: II. Use sigma notation to write the Maclaurin's series for the function f(x) x COSX. Show complete s...

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Q: Let y(x) be the solution to the following initial value problem. dy (In x) y(1) = 1 dx x y? Find y(e...

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Q: F. Find the moving trihedral of the curve C of F(t) = at t = ; 2'

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Q: Find the arc length of the curve x = –3y3/2 from y = 0 to y = 10. Length =

A: To find the arc-length if the curve x=-3y32 from y=0 to y=10 Now, the formula for the arc-length is:...

Q: range of the function. (a) If f(x) = 3x + 4, find the image of 4. (b) If f(x) = 7x + 5, find the ima...

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Q: Find the average value of the following function: p(x)  =  4x2 + 5x + 6 on the interval  1  ≤  x  ...

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Q: Find the directional derivative of the function at P in the direction of v. f(x,y,z) = x²+y²+z² P(1,...

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Q: A cola vending company estimates that their cola will be consumed by people at a rate given by: C ′...

A: Topic = Algebra

Q: Evaluate the integral. -2x dx 19 x e NOTE: Enter the exact answer.

A: Integrate it by parts. 

Q: ekt kdt, where k is constant k A True B) False

A: B) False   

Q: Evaluate: 3 +4dy

A: ∫ 3y3y+4dy  

Q: Determine whetherthe limit exìsts or not when a) xーヤ 3 and 6) x→-3 F(x) = 1 Vx?4 Wien x<-ろ Vg-x² whe...

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Q: The above is the graph of the derivative f '(x). How many critical points does the original function...

A: How many critical points of f(x)

Q: Calculate the Taylor polynomials T2(æ) and T3(x) centered at a = 2 for f(x) = : T2(x) must be of the...

A: Given function is f(x)=11+x and we have to find T2(x),  T3(x) centered at x=2. Taylor polynomial T2(...

Q: Calculate div(F) and curl(F). F = (y, 4z, x) (Give an exact answer. Use symbolic notation and fracti...

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Q: After t days of advertisements for a new laundry detergent, the proportion of shoppers in a town who...

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

Q: Find the amount in the bank after 8 years if interest is compounded quaterly. Find the amount in the...

A: Given; P=4000 r=8% t=8