Find a formula for a function f that satisfies the following conditions. lim f(x) = 0 lim f (x) = -0

Q: x2-3 - Let f(x) x-2" a. Find the intervals on which the function is increasing and decreasing. b. Th...

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Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS. 1. siny dx + (x - sin? y)dy=0 2. x + ( 1+x)y = e -× sin2...

A: First order differential equation : Consider the first order differential equation                  ...

Q: 2. BASEBALL A baseball player hits the ball at a 28 angle with an initial speed of 103 feet per seco...

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Q: 16 13. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the t...

A: Given that: r=165+3cosθ

Q: Find the point, P, at which the line intersects the plane. x= - 2+ 2t, y = - 3 + 8t, z= - 10+ 4t; 7x...

A: We have to find out the point of intersection

Q: The population of Nilam doubles in size every 4 yr. In 1986, its population was 25,000. a) Find an e...

A: Note: Since you have posted a question with multiple subparts we will solve the first three subparts...

Q: Given the equation below. Give what is being asked. |(-1+ tanx) dx = atanx + Bln|secx| + C %3D Find:...

A: Given ∫(-1+tanx)2dx=αtanx+βlnsecx+C  To find  α-β

Q: Create a formula for the sequence Show how you get the -2,0,3,8,15 using the formula Find the series...

A: Difference between nth and (n-1) th term is nth prime number. 

Q: A 3-m long steel pipe has its upper end leaning against a vertical wall and the  lower end on a leve...

A: Given that: Length of steel pipe=3mLower end moves away from the wall at a speed = 2cm/s

Q: Determine the ORDER, DEGREE and LINEARITY(Yes or No) 1. y' y 2. (y)? — Зуу' + ху %3D0 a?u a?u a2u 3....

A: We have to solve 3 questions as per guidelines Please repost other questions again

Q: 4. 3y(x? - 1)dx + (x³ + 8y - 3x) dy = 0

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Q: Find the set on which the curve 7 dt t2 + 6t + 15 y = is concave downward. Answer (in interval notat...

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Q: 4. (x+ 2y-1)dx-(2x+y-5) dy =o

A: According to question,Given differential equation,x+2y-1dx-2x+y-5dy = 0

Q: 5. Evaluate the following and give at least 5 non – zero terms: п-1 n(n + 1) x + (2n – 7)(2n + 9) dx...

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Q: 2x-3y+6)dx-(4x-6y+2)dy=0

A: Given that: (2x-3y+6)dx-(4x-6y+2)dy=0

Q: B. Find the general equation of the following conic with the given properties. 2. A hyperbola with f...

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Q: Evaluate the following. Show solution using the basic formulas. 1. S(3x² – 8x + 7)dx

A: Let I=∫ 3x2-8x+7dxApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdxI=∫ 3x2dx-∫ 8xdx+∫ 7dxTake the constant o...

Q: Watch the video and then solve the problem given below. Click here to watch the video. For the given...

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Q: Y= Gas"(Sin-(tan

A: Given that: y=cos-1(sin-1(tan-1(csc-1x)))

Q: An object moves on a horizontal coordinate line. Its directed distance s from the origin at the end...

A: Given :Directed distance s from the origin at the end of t seconds is t3-6t2+9t feet.To find :When i...

Q: Use the Product Rule to calculate the derivative for the function h(s) = (s¬2 + 8s) (5 – s-1) at s =...

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Q: Differentiate the function. H(x) = (x + x=1)3 %3D

A: Important formula ddxxn = x(n-1) (a+b)3 = a3 + 3a2b +3ab2 + b3

Q: 3. 3x2y2 dx + (2x ³y + x³y*)dy =c

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Q: V. HIGHER DERIVATIVES AND CHAIN RULE 2. y = x²(x – 1)³(2x – 5)² 3. f (x) = V1 + V1-x

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Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

A: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

Q: Find the abscissa of the centroid of the region between the parabola y = 6 − x2 and the line y = 1 −...

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Q: S In(x² + a) dx

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Q: 1. Evaluate lim (2x-5) given its graph below. X-2 b. -1 c. 2 d. 1 а. О 2. Given the graph of f(x) be...

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Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

A: Given:  fx=x2-3 To Find:  A To find the average rate of change ARC of fx on the interval 4≤x≤4.1.B T...

Q: Direction: Find the derivative of the function. I+5 w = 2x - 7 Select one: 17 (2г — 7)2 17 (2x – 7)2...

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Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

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Q: 2y (x+y+2) dx + (y²-x²-4x-1)dy = 0 when x=2, y= 3 |

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Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x - 3)2 %3D X...

A: We can find the tangent equation and normal equation as below.

Q: 6 Suppose that fis integrable, and that f(z)dz = 3 and f(z)dz = 8. Find the value of the following d...

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Q: Find the point on the graph of z = 3x2 – 3y? at which vector n = (48, –60, –2) is normal to the tang...

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Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

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Q: Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies alon...

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Q: Using Laplace transform, find the solution of the initial value problem. 2y + y = 0, y (0) = –3 4.

A: Taking laplace on both side, and using y(0) =-3  

Q: 2. Given r(t) = et cos t i + e' sin tj + e'k , find the tangential and normal components of accelera...

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Q: (4) Y dy ху+у? dx x2

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Q: Given the equation below. Give what is being asked. a sin3xsin2xdx = Find: a + B,where a <0

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Q: Estimate f(1.02,2.98) given that f(1,3) = 5, fx(1,3) = 3, and fy(1,3) = −5 where fx = partial deriv...

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Q: Find (f)(a). (x) = 3x + 3x² + 7x + 7,

A: We are given the following. We know that . So,         f-1'(7)=1f'f-1(7).

Q: Find the integral of 12sin5xcos5xdx if the lower limit is 0 and the upper limit is 90o.   A. 15.5 ...

A: Using definite integration.

Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =...

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Q: S. Sxidx

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Q: x*+ 4x t3 x? -x - 2 [x+ラ] ー1メ<1 1-X lim g (x) メ-7 0 lim g(x) x -71

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

A: We have to solve given differential equation

Q: (7) (y sec 2x + sec x tan x)dx + (tan x + 2y)dy = 0 (8) () ds + () dt = 0 (9) (2x³ – 3x²y + y³) = 2x...

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Q: csc'x- cotx + tan'x Cosx - sin?xcosx

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