3. Evaluate the following limits: a) lim 3x² − x+7 x→3

Q: Find the points of intersection of the graphs of the equations. x = 73-y² y = x - 1 Step 1 A point…

A:

Q: Find the limit of the sequence: 8n² +9n+7 8n² + 4n+ 9 an

A:

Q: [r³√x x³√x² + 1 dx V

A:

Q: Find the limit of the sequence as n approaches infinity: 5n - 7 8n + 7 an =

A:

Q: Evaluate the following integral using trigonometric substitution. 4 x² 0 √64-x² dx

A:

Q: Use the table to evaluate the limit of f (x). If the limit does not exist, use DNE. x-2 f(x) =…

A: from the table as the value of x approaches to 2 from the left side, the value of the function…

Q: The rectangular coordinates of a point are given. Plot the point. (-3√2, -3√2) -6 y (r, 0) = 4 -4 2…

A:

Q: 1. The matrix J is given by J= a) Show that J² d -b -C $] a [a b]. c d where a+d=-1 and ad-bc=1.

A:

Q: (1-x)e(x-1)² dx

A:

Q: Let f be an integrable function such that ff(x) dx = 4 and 2 f(x) dx = 5. Using properties of the…

A:

Q: Consider the series an where an = n=1 Find lim an. Enter DNE if the limit does not exist. nx lim an…

A: The given series iswhere From part 1,

Q: A baseball diamond has the shape of a square with sides 90 feet long (see figure). A player running…

A: From the given figure, let the player be at a distance from the third base and let his home base be…

Q: Find the area of the shaded region. -8 x=y²-7 -6 -4 -2 y 3- 2 -2 y = 1 +y=-1 -3 x=e² 2 4 X

A:

Q: c) Hence write down the indefinite integral: d) (Don't forget the constant of integration as this is…

A: product rule

Q: The manager of a restaurant found that the cost to produce 200 cups of coffee is $19.52, while the…

A: To find out the cost function and also the fixed cost.

Q: 12. Expand the following binomial functions by using given formula. finding kth term of (a+b)" n!…

A:

Q: If f(x)=x²-9, find f(x+h)-f(x) and simplify. f(x+h)-f(x) =

A: we have given function

Q: Find the values of a and b that make f continuous everywhere. x² - 4 x-2 a = 3 b = f(x)= ax² - bx +…

A:

Q: Given the expression 14 · (1 + 0.20)2x, determine the percent rate of change.

A: This is question of calculushere equation is given we have to further elaborate and find…

Q: Question 20 Provide an appropriate response. Consider the function y . Can x be negative?

A:

Q: c) Hence write down the indefinite integral: d) -7ze (Don't forget the constant of integration as…

A: The given integral is -7xe-3x, x from -1 to 1.

Q: Let x 4 || - N and y = Find the vector v = 3x - 4y and its additive inverse. 18 [2] 4

A: The additive inverse of a vector v = <a , b> is  - v = <-a , -b>

Q: For the function x² 2 if 0<x< 4 -4 if x = 4 2x+7 if 4 < x use algebra to find each of the following…

A:

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: Average velocity = Where s(t) is the position function.

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

A:

Q: The total amount of consumer credit has been increasing steadily in recent years. The following…

A: The given least squares line is .The aim is to find the growing rate of the customer credit.

Q: The following integral can be evaluated by using substitution: a) b) c) Identify the inside…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Let f(x,y,z)=x² √²+z² Compute f(2, -3,2) and f(7,8,-6). f(2,-3,2)= (Type an exact answer, using…

A: we given a function

Q: 15 Find the area of the surface generated by revolving x= 2√4-y, 0sys about the y-axis. The area is…

A:

Q: Solve a dy da - = 5y - 1x, (a) identify the integrating r(x) = y(1) = −8. factor, r(x). (b) Find the…

A: To solve

Q: The manager of a restaurant found that the cost to produce 200 cups of coffee is $19.52, while the…

A: It is given that the cost to produce 200 cups is equal to $19.52 and the cost to produce 500 cups is…

Q: 2 [(x) = √x' [1,4]

A: 1) f(x)=2/sqrt(x), [1,4]2) f(x)=(2+x2)/sqrt(x), [1,2]

Q: 3. Sketch the region bounded the parabola y = x² - 5 and the line y = in the third quadrant. Then…

A:

Q: thankyou quick question for the first problem were does the secound two come from. Were it 2x2…

A:

Q: Find the area of the surface generated by revolving the curve y = X Set up the integral that gives…

A: The region bounded by  over the interval  The surface area of revolution about x axis

Q: Find the area of the region described. 1 X The region bounded by y = 17 4 and y = x. The area of the…

A:

Q: Consider the function. f(x, y) = 2(y + 1)x² Identify the point(s) on the graph of f at which the…

A:

Q: Find the domain and range of the function. f(x) = -7+√√x

A: Domain is like the set of all permissible inputs you can feed into a function.Range is like the set…

Q: Make a sketch to show a case in which the area bounded by two curves is most easily found by…

A: To make a sketch to show a case in which the area bounded by two curves is most easily found by…

Q: Evaluate the limit 9-x lim x 9 3-√√x

A:

Q: 8. Suppose the parabola y = 9 - x^2 is shifted three units to the right. Find the slope of the line…

A:

Q: Express the perimeter of an isosceles triangle with side lengths x, 5x, and 5x as a function of the…

A: Side length of triangle x,5x and 5x

Q: MAT 132: Calculus with Analytic Geometry Instruction: 1. Answer Must be handwritten with…

A: The given functions are

Q: For this exercise, refer to the cost and revenue functions to the right. The cost of producing x…

A: we have given, the cost of producing x units of goods is C(x) dollars, and the revenue from selling…

Q: Question 17 Find the formula for the function. Express the area of a circle as a function of its…

A: We have to express the area of a circle as a function of its radius.Let r be radius of a circle…

Q: Solve the following equation for x. (5X+5,5) =5 x=0 (Type an integer or a simplified fraction.)

A: given an equation

Q: Find the composite functions (fog) and (gof). What is the domain of each composite function?…

A:

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) (a) (b) (c) -1 y 7…

A:

Q: Let P denote the path parametrized by r(t) = = xy²z² Compute fp F.dr, where F(x, y, z) = x²yz² 3 sin…

A:

Q: A rectangle in quadrant I has a corner at the origin and an opposite corner on the graph of y =…

A: