Vove erf C-∞)= -I or J edt=-1 STT

Q: Directions: Please write your solution on the space provided and boxed your final answer. *Introduct...

A: The given function,  f(x)=x2+2x-3x-1if x≠14if x=1

Q: *Introduction to Derivatives (x²+2x-3 if x#1 (4 Using the 3 conditions, show that f(x) = is both con...

A: Three conditions of continuity of a function f(x) at x=a: (i) f(a) is defined. (ii) limx→a f(x) exis...

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

A: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

Q: Find the first 5 terms of the following sequences a k for k >0 2k +1 a) Let ak

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 4. (6x + y')dx + y (2x-3y) dy = 0 ans. 3x + xy - y = c

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Q: At 3:15 pm, a metal ball has a temperature 80°F is taken outside where the air temperature is 20°F. ...

A: Find your answer below 

Q: EX g. Evalnab..f.x.d. wha. R.ia. the.regizn.in.the frirg t.. quadrant..bounded..Xy=16. Soluedidy

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Q: Using variable separable technique, find the general solution of (4x+xy^2)dx + (y+x^2y)dy = 0

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Q: DIRECTION: Solve the following problems in neat and orderly

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Q: 5. Calculate the derivative of f(x) = Use this result to determine whether the sequ x2 + 1 an = n2. ...

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Q: QUESTION 3 Suppose that z= xy, where x=2t+4 and y=s+3t. Find Oz at the point (s.t) = (5, - 1) at Oa ...

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Q: ACTIVITY 1: Practice ! Apply differentiation rules in finding the derivative of the given functions....

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Q: find the sum of this series: (-1)* 2n+1 y2n+1 (2n +1)! n:0

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Q: 5. Calculate the derivative of f(x) Use this result to determine whether the sequence x2 + 1 n An = ...

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

A: Given that ∫-3023e1xx3dxSolution :∫-3023e1xx3dxlet ,1x=t-1x2dx=dtat x=-3,t=-13x=0,t=∞substituting th...

Q: dx 4) S xVx2-9 x2 dx 5))S To 9-x2

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Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the ...

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Q: Find the derivative as indicated. 1. y = 3 cos x + 2 sin x ; find y' 2. f (t) = t sin t ; find f' (3...

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Q: For the next three questions, consider the differential equation: y" - 2y + y = e arctan r 48. If th...

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Q: Please solve 1,3,7 by using partial fraction example on the picture

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one. ...

Q: Consider the function given b f(x)= 4/(x-2). a. Find where the function is concave up and concave d...

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Q: 5. Calculate the derivative of f(x) = Use this result to determine whether the sequence x2 + 1 n An ...

A: Topic  - function and derivative 

Q: ons whose graphs are shown, let u(x) = f(g(x)), v(x) = g(f(x)), and w(x) = g(g(x)). Find each deriva...

A: We have to choose the correct answer from the given options according to the given information

Q: Find and Dw fok the following functions e 2-

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Q: dx O a. dy -3y2+2x 2x +2y 2x +2y -3y +2x O. dy 3y2 - 2x 2x+2y -2x-2y dx -3y +2x %3D dx O b. dy dx dx...

A: Given query is to find the derivative of the expression.

Q: 000 P(x, Y) = K/+y where K is some constant. Both the density function and the shape of the osrsa, 0...

A: Need to find mass of the lamina. Given information: The density function is ρxy=κx2+y2 and limits ar...

Q: Given the combined differential operators for a given differential equation (D + 4)(D – 3) (D - 4) D...

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Q: haracteristic. 40 80 160 (A) y 2.2 2.2 2.2 2.2 -8 -4 8. (B) y 51 62 73 95 -4 -3 (C) y 18 4.5 -2.2 3 ...

A: Topic:- function

Q: Given the combined differential operators for a given differential equation (D² + 16) D² (D + 10) De...

A: We have to find the general solution to the given differential equation.

Q: 3. lim f(x) lim f(x) 4. lim f(x) lim f(x) = -2, = +0, x+3- = 2 and f(2) = 0 = -0O x-2+ x+3+

A: Let's find. 

Q: y*(x*y-2)dx + x(x*y* +2y° - x)dy -0: y(1) = 1 3.

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Q: The profit (in dollars) from the sale of x lawn mowers is P(x) = 20x-0.02x – 550. (A) Find the avera...

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Q: Find the inverse of the function. f(x)=x+5x+11

A: f(x)=x+5x+11f(x)=6x+11

Q: 3. Determine f(x) = x2 + x-2 is continuous on the given interval (-0,+0) (show graph and its table o...

A: Here, the given function is: f(x)=x2+x-2 And the given interval is (-∞,∞).

Q: A farmer has 1,700 feet of fence and wishes to build two identical rectangular enclosures, as in the...

A: Given query is to find the dimensions of the enclosure and the area.

Q: Given the differential equation y" + 9y' + 18y = 4 x e¬5x Determine the differential operator for th...

A: Here, the given DE is: y''+9y'+18y=4xe-5x

Q: 12. lim [(x 5) - 3x] isOHOAHOH 3OH2 UA a. lim (x 5) + lim 3x IROCORO b. lim (x- C. X-5- lim 3x X-a -...

A: 12)limx→a[(x-5)-3x] = limx→a(x-5)-limx→a3x13) limx→1x2-2x-3x-2=12-2.1-31-2limx→1x2-2x-3x-2=1-2-3-1li...

Q: Find the slope and equation of the tangent line to the graph of the equation at a given point. 1. y ...

A: Given y = 2x² + 4x.     Point ( -2 , 0 ) To find slope & equation of tangent line.

Q: 2. Tell the continuity of the function 4x - 2, f(x) =-2x +5. x> 2 a.) llustrate the graph b.) Evalua...

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Q: f(x) = cot? 1 %3D tan-1

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Q: Suppose a certain drug is administered to a patient, with the percent of concentration of the drug i...

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Q: dx x2 -1

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Q: -Зx2-2х+1 5. S ***) dx х+2

A: We have to solve given integration

Q: f) = In(tanx) -1 %3D

A: ddxlnarctanx  

Q: Use the right triangle and the given information to solve the triangle. a = 9, c= 10, find b, a, and...

A: To solve the triangle. 

Q: 2. Find the mean of the probability distribution of the random variable X which can take only the va...

A: Given :P(2)=310P(3)=25P(4)=15P(5)=110

Q: u du Formula Answer dx 6. S x In x+x

A: ∫1xlnx+xdx

Q: Q.4. locate the critical points of the function f(x)=x*(x-1)³ and identify critical points which are...

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Q: dz dz and as (b) Evaluate at the indicated s and t values. at 19. z = x'y, X = s - t, y = 2s + 4t; s...

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Q: k-1 Since the series can be rewritten in the form 43 k=1 it is a geometric series with: 4/7 4/7 Give...

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