Use the graph of the function f to find the limits at the indicated valu 4+ 3. y=f(x) 2 1 2 3 4 566 a=3 lim f(x) lim f(x) lim f(x) = Xa II

Q: Find the foci of the hyperbola. 2-9y-90y-234 = 0

A:

Q: Ise Part 1 of the Fundamental Theorem of Calculus to find the derivative of the fum 8(x) = [" 1 dt t…

A:

Q: Question 9 A mine cable weighing 60 N/m is unwound from a cylindrical drum. If the lower end of the…

A:

Q: (2))? dz: Consider the indefinite integral a) This can be transformed into a basic integral by…

A:

Q: 5 3. (1 – x²)ždx

A: To evaluate: I=∫01(1-x2)52dx

Q: The average speed f(t) (measured in kph) of traffic in a certain municipality between 4 PM to 8 PM…

A: The critical point of a function: A critical point on the graph of a function y = f(t) is a point t,…

Q: A) S sin edo b)S sec edo )Side Ssec?eddo E)S cos ede

A: We have to find the integral

Q: Evaluate the integral directly by integration with respect to x and y. 4 x= (y/4)+ 1 4x - y -dxdy 4…

A: We have to find the value of the double integral ∫04∫x=y4x=y4+14x-y4dxdy Since dx present first in…

Q: A business is planning to purchase a piece of equipment that will produce a continuous stream of…

A:

Q: Question 5 Find the volume of the solid that results when the region enclosed by the given curves is…

A: Given, y= sqrt(25-x²) y= 4

Q: 5. The denominator of a fraction is four less than the numerator. If the denominator is doubled and…

A:

Q: A producer of clay repair kits has determined that the revenue from the production and sale of x…

A:

Q: Answer is incorrect

A: Apologies for the inconvenience. In the second last line there was a calculation mistake.

Q: Let f(x) be the function 2a² – 4x + 11, Then the quotient f(2 + h) – f(2) - can be simplified to ah…

A: The equation of line between two points;(4, -3) and (-3, 0)f'(4)=0+3-3-4=-37passes through (-3,…

Q: Find the distance from the point to the plane. (5,7,6), 10y +z= 0 The distance is

A: We can find the distance as below.

Q: 7. Give one example a that makes log, (x) rational but not an integer

A:

Q: Find the derivative of the function f(x) = 9r( – 5x + 6z). %3D f'(x) =

A:

Q: 3n4 Σ Consider the series > 6n4 + 2 n=1 Based on the Divergence Test, does this series Diverge?…

A:

Q: A rectangular storage container without a lid is to have a volume of 10 m. The length of its base is…

A:

Q: 47. f(x) = V(3 – x) on [1,3]

A:

Q: Find the equation of the plane perpendicular to the line x 2t, y = 6 - t, z = 4+t and containing the…

A:

Q: 5. Evaluate r'sin(y³) dy dx

A:

Q: 10 10 If f(x) dr = 17 and f(x) dr= 12, then f (x) dr =5 A True B False

A:

Q: lEvaluate the integral ×+ス de . x²+2x linlx?Cx+z)e X+2 (x+2)²|&7C Dinlx (x+2)I +c E) Inl x て) 12

A: Topic = Integration

Q: Find the surface area of the part of the cone x2 + y = z between the planes z = 3 and z = 8. Express…

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly.…

A: Here , we have given an integral and we have to integrate over a rectangle whose vertices are given…

Q: Find each of the following limits. Since you use L'Hopitals Rule, explain why you use it lim 2?e…

A:

Q: Follow the instructions. Typewritten for upvote. No upvote for handwritten. Thank you

A: We have to find the number

Q: Find the derivative. 8 + ex y = In 8 - ex Step 1 The given function y = In 8 + ex can be written as…

A:

Q: Give the representation, equations and solution. Use elimination, comparison or substitution to…

A: Sum of two numbers =  25 Difference of two numbers = 7

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) (x² + lim x + 5…

A:

Q: Inx F (x) = So It dt %3D

A:

Q: 54. Find numbers a, b and c such that x = 1 + at y = 2+ bt is perpendicular to 2x + y - 3z = 1 z 3+…

A:

Q: Find the general solution of the equation. Express the solution explicitly as a function of the…

A:

Q: Write an iterated integral for d. dA over the region R described to the right using R a. vertical…

A:

Q: 1 Evaluate dx. - 2x 10 + e 1 dx 2x + C 10 + e

A: To solve the following integral problem

Q: ててーXつ (ーフ 1 प. ८ genc 16)Find the power Series S こひ( れこス て24(O t2u(コ

A:

Q: cos(x)In(1 + x²) + æ4.8 dx. Evaluate 1+ el.69z – 42.8 answer =

A:

Q: Evaluate the indefinite integral. (Use C for the constant of i | sec?(e) tan°(e) de

A: Topic:- integration

Q: g=ズ, a find dy dx %3D

A:

Q: VI 23) Consider the region in the second quadrant between the ciréies X²+y?=4ard x?7y==25 ?-25, and…

A:

Q: Find the divergence of the vector field F. F(x, y) = 8xe*i – 7x²y²j |

A:

Q: For what values of S is the solution space of the system given below the origin only, a line through…

A: In the given question we have to find the values of s for which the solution space passes from the…

Q: Use the graph to complete the following.

A:

Q: Find the first term and the common ratio for the geometric sequence. Round approximations to the…

A:

Q: Find an equation for the line tangent to the curve at the point defined by the given value oft.…

A:

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 20 bushels of fruit. She…

A: Harvest

Q: + 3x² 4)dx

A: Given query is to find the value of the integral.

Q: dx

A: A detailed solution is given below.

Q: Differentiate. 1. y = 7 2. y = 6 7. y = 72 9. y = e 8. y = 4*s 10. y= e 3. f(x) = 8* 4. f(x) = 15

A: