Let lim f(x)=4. Use the limit rules to find the limit given below. lim 20 X-5 lim 200-

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Q: a(t)=40t^3-10 Find the acceleration when the velocity is 0

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Q: 6. x+1 f(x)= x?ーx-2 !! 8. f(x) オー1 10. sa) = {*, **1 s(x) = 0, %3D X=1

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Q: a polynomial function is given  P(x)= x(x^2-4) describe the end behavior of the polynomial functio...

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Q: Consider the graph of the function f(x) shown below. List any x-values at which f is not continuous....

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Q: 2 dx (х-3)6 V-x2+6х-5

A: Given:      ∫2x-36-x2+6x-5dx     =2∫1x-36-x2+6x-5dx substitute u=x-3→dudx=1→dx=du                  x...

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A: Given that: 94sin(2θ)=r2

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Q: Evaluate the integral by interpreting it in terms of areas: (3 – 5æ) dæ =

A: To evaluate the given integral by interpreting it in terms of areas.∫04 3-5x dx

Q: (-1)-1 n!/3 n=1 3.

A: In this question we have to find series is converges or not.

Q: 16x8 . 22) Find 22) x4 A) 8 x B) 4x4 C) V32 x2 D) 16 x3 23) f' (x) =(3 cot x - 2 csc x)'= [ By Linea...

A: In problem 22,we find out derivative of√(16x8/x4)

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A: Given that: 1. y=2x2-3x+1      at (-1, 6)2. y=x2+x+1           at (-2, 3)3. y=3x2-x+1      at (1, 3)...

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Q: Evaluate the definite integral 4 sin(x)dx

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A: Given, Final amount = $1365 Interest rate = 5% = 0.05

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Q: 7. What is the global maximum value of f(x1, x2) = ln ¤1 + ln x2 with constraint 2x1 +3x2 = 6? Round...

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Q: In this calculus problem, verify that f has an inverse function. Then use the function f and the the...

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Q: Let R be the region bounded by y = 7 sin(z), y = 7(x – 2)*, and y = 3x + 4, and containing the point...

A: R be the region bounded by y=7sinπ2x, y=7x-22 and y=3x+4that contains the point 2,7.

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Q: Evaluate the integral. 5n /2 2, 1 - cos t dt 3π/2

A:     ∫3π25π21-cos2tdt=∫3π25π2sin2tdt=∫3π25π2sintdt=∫3π22π-sintdt+∫2π5π2sintdt=1+1=2

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Q: 8. The manager of an appliance manufacturing firm determines that when toasters are priced at p doll...

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Q: Solve the separable equation using the integral factor  y⁴ y¹ + y¹ + x² + 1 = 0

A: Here, the given differential equation is: y4y'+y'+x4+1=0⇒y'(y4+1)=-(x4+1)⇒(y4+1)dydx=-(x4+1)⇒(y4+1)d...

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Q: Find the average rate of change of the function over the given interval. y=3x+ 1%3; between x= 1 and...

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Q: Solve the given initial-value problem. y"' + 4y" + 4y' = 0, y(0) = 0, y'(0) = 1, y"(0) = -6 y(x) = %...

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Q: Consider the curve satisfying y" = 6x and is tangent to the line y = 5– 3x at x = 1. What is y' (2)?...

A: Given: y''=6xand tangent to the line y=5-3x at x=1To find y'(2)=?  

Q: To evaluate: the integral function / sin tcos*t dt.

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

Q: %3D 1 63 4 /x4 + 5Vx5 63 4 Vx +x* +Vx7 3 Option 3 Option 1 63 x* + Vx+ 3. 63 3 4 Vx4 + 5VX7 4 2Vx 3 ...

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Q: Find the equation for the plane through the points Pol- 1,5,- 3), Qo(-5,4.2), and Ro(3, -5,0). Using...

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Q: find the maximum or minimum value of the function  g(x)= 100x^2-1100x

A: The second derivative test  Let f(x)  be the given function and c be the critical point of f. If f"...

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Q: 2. Express in terms of sums and differences of logarithms In 2 3x³y (In 2 divided by 3x³y)

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Q: Consider the following matrices 1 1 -2 [ 1 | A В - 4 -3 1 -3 1 4 -3 1 2 -3 2 -3 4 Determins which of...

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Q: P2. Test convergence of the following series (use the test(s) that you think is most appropriate) (i...

A: We will use comparison test to find the converges of the following series.

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A: Evaluate the integral ∫tanh2xlncosh2xdx

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A: We need to verify the circumference of circle.

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Q: 6. lim f(x) = +∞, lim f(x) = 0 and f(-1) = -1 %3D x-1- x-1+

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Q: Find the volume of the solid obtained by rotating the region bounded by y= 4 - x^2 and x=0 from 0 to...

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Q: Consider IVP: y' = y² + t², y (0) = 1. Using Euler's method with time step h find y (2) . 0.5.

A: Euler's method yn+1=yn+h⋅f(tn,yn)where  tn+1=tn+h

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Q: Use logarithmic differentiation to find dy/dx. = x* - 2 x > 0 dy %3D dx

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Q: Find the area under the curve y=x3+3x2 and the x-axis between x=1 and x3D3. O 46 sq. units O 54 sq. ...

A: We need to find the area under the curve y=x3+3x2 on interval 1, 3.

Q: The cube root of 27 is 3. How much larger is the cube root of 27.8? Estimate using the Linear Approx...

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Q: Determine amplitude, period, phase shift and the midline of the following function: y = -3 cos (x-)+...

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Q: f(x) on the 2. Assume that f is twice differentiable. Prove that the curve y = xy-plane has curvatur...

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Q: Find the general implicit solution to the differential equation xy2 cos(x)dx + 2xy sin(x)dy = 0.

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