An employee earns $48,000 in the first year with a company. Every year, the annual salary increases by $4,500. How much is earned during eight years with the company? O $388,500 O $420,000 O $510,000 O $636,000

Q: Evaluate the function for the following values: -x-4 , x≤ 5 f(x) = { 2x² -7,5 < x≤ 10

A:

Q: Find laplase 4-f(t)=e²¹.t³. Answer by hand

A: topic = Laplace transform

Q: Prove using the def. Of a limit (b) limx→0(2x^2) − 3)) = −3

A:

Q: For Numbers 30-34. A ball is shot straight up from a building. Its height (in meters) from the…

A: S(T) = 40 +35t -5t2  here height function is given   for find velocity  we have to derivate the…

Q: 4. What is the integral of cos xdx from pi/3 to pi/2? A. 0.134 C. 0.707 B. 0.500 D. 0.293

A:

Q: axy + z³x - 2yz = 0.

A:

Q: Find the maximum and minimum points and the intervals where the function increases and decreases for…

A:

Q: x²+x-2 x+1 8. Determine lim x→1 A. 0 B. -1 9. Determine lim ¹. X→1 x A. 0 B. -1 10. Determine lim…

A:

Q: 1 (2x-3)4 4. S dx

A: Follow the procedure given below.

Q: Prove the following using the definition of a limit. n - 1 (a) lim n+on+1 (b) lim (2x² − 3) = −3 -…

A: For (a),    limn→∞ n-1n+1=limn→∞ 1-1n1+1n=limn→∞ 1-1nlimn→∞ 1+1n=11=1 For (b),    limx→ 02x2-3Plug…

Q: Find the area of the sector of a circle with diameter 36 feet and an angle of 7π/4 radians.…

A: Here we have to find the area of a sector.

Q: Which of the following is the standard equation of the ellipse with vertices at (1.0) and (11,0) and…

A: I am attaching image so that you understand each and every step.

Q: Find the limit of the function lim x² 3x +2 X-1 X-A

A:

Q: For the equation, find ay evaluated at the given values. dx x² + y² = xy + 28 at x = 6, y = 2

A: The given equation:x2+y2=xy+28We need to find dydx at x=6, y=2.

Q: √1+x 1- x dx

A: Substitute x=cos2thetha

Q: 6. Determine the point of inflection on the curve defined by y=x³ + 5. Show that the tangent line at…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: A) Consider the function f(x) whose second derivative is f’’(x)=4x+3sin(x). If f(0)=4 and f’(0)=4,…

A: According to the guidelines in case of multiple questions, We are only allowed to do first question.…

Q: A Fence is to be built to enclose Feet. a rectangular area of 240 square The Fence along 3 sides is…

A:

Q: Evaluate the integral O 03/20 Ⓒ100 C 87² dx using the two-point Gaussian quadrature rule. 1+16z4

A:

Q: 4-f(t)=e¹¹t³.

A: Topic = Laplace transform

Q: e-In a For sketching the function y = 42 determine the following " x-intercept y-intercept vertical…

A:

Q: C. Find the value of dx/dz&dx/dy y lnx-x² + 4 = 0 at the point (1,-1,-3) if the equation xz +

A:

Q: 27. Find the area enclosed by the curve r = a (1 - sin e). A B. 2a² C. 3a² D.

A:

Q: Chris and Dani volunteer at the food bank at 9:00an on Saturday mornings. It takes 30 minutes to get…

A: person C and person D have to reach good bank at 9:00am.we have to calculate that at what time…

Q: Consider a trough with the shape below. 2 m 5 m 8 m It is full of water, which has a density of 1000…

A:

Q: The fifth torm of a goomotric corios is 405 and the sixth torm is 1215 Calculate the sum of the…

A:

Q: 8. What is the area bounded by the curve y²=4x and x²=4y. A. 6 B. 7.333 C. 6.666 D. 5.333

A: Here we have to find the area bounded by the curves

Q: the base of the Cooling towers are used to remove or expel heat from a process. A cooling tower's…

A:

Q: Rewrite sin(x + ¹(x + 11T) 6 sin (z + 11T) = in terms of sine and cosx.

A:

Q: 6. Find the area of the region bounded by the curve r² = 16cose. . 32 sq.units . 27 sq.units B. 35…

A:

Q: A function is of the form y = sin(kx), where x is in units of radians. If the value of k is 3.70,…

A:

Q: Let_y=x² +5x³-4x+1 then dy- ||

A:

Q: Find an equation of the tangent line to y = 16e* sec(x) at x = 77. (Use symbolic notation and…

A: In this question, we want to find the equation of the tangent line to the given curve at given…

Q: I It ex 1-ex dx

A:

Q: lim- x-0 X

A: Given :limx→05x

Q: Let e 2* = 2 find dy dx at x = 1

A:

Q: Consider the functions. f(u) = u + u g(x) = cos(x) Find the following function and derivatives.…

A:

Q: PART II: Problem Solving. (Show your solution) Your parents bought a car in 2014 at the price of…

A:

Q: 1. A golf ball has a diameter of 2.1 inches. The company is looking to fill the inside of it with…

A:

Q: Which of the sequences converge and which diverge? Find the limits of each convergent sequence. 4-6n…

A:

Q: b) x= 2х-3у 2x+3y

A:

Q: 1) Given the graph of f(x), determine the following, if it exists. (a) lim f(x) I+I (c) limf(x) x-1…

A:

Q: What is the correct expression for L[f"](s) when L[ƒ] = 5e-³², f(0) = 5 and f'(0) = 0?

A:

Q: If y = 2x² then dy dx 11

A:

Q: Solve the following: i) ii) iii) 6n² x n² x 7n² 2 5x²xx³y² 3 2 10 a4b5c a7b5

A:

Q: Review Exercise 1. Determine vector and parametric equations of the plane that contains the points…

A:

Q: 13. Find the area bounded by the curve y=- y=2 and a lower limit of y=10. A. 1.61 C. 1.81 B. 2.61 D.…

A: Area

Q: For the equation, use implicit differentiation to find dy dx xy - 3x = 9 dy dx ||

A: Given.

Q: Problem 1. Find and plot the domains of below functions (a) f(x, y) = x²y, (b) f(x, y) = ln(xy-1).

A: To find and plot the domain of the given functions.

Q: Kiara invested her savings into a Registered Retirement Savings Plan (RRSP) at an interest rate of…

A: This question can be solved using the concept of compound interest.