What is the rectangular form of the parametric equations? x (t) = t - 3, y(t) = 2t² — 1, where t is on the interval [−2, 2]. Enter your answer in the box in standard form. y = where x is on the interval [[

Q: Consider a right triangle with a side of length opposite angle A, a side of length y opposite angle…

A: Given: Consider a right triangle with a side of length x opposite angle A, a sideof length y…

Q: If you want to earn 13% annual simple interest on an investment, how much should you pay for a note…

A:

Q: 1. Determine the derivative of the following exponential functions 2x² a. f(x)= e b. f(x)=…

A:

Q: find the general solution (GS) of the following initial value problem (IVP): y₁ = y₁ + 3y2 where y2…

A: The given system of differential equations: y1'=y1+3y2y2'=13y1+y2Initial conditions are:  y1(0)=12…

Q: You are given the graph of y = |x + 11. -10-8-6-4-2 y 10 -10-8 -6-4-2 8 + 6 44 2 -2 -4 -6 -8 -10 10…

A:

Q: Find the general solution. If an initial condition is given, find also the corresponding particular…

A:

Q: Given f(x, y) = 2x²y + 4xy³. Compute: 8² f əx² a²f მყ2

A:

Q: n f(x) = 7sin x-3?

A:

Q: egral, if it converges. If it diverges, F

A:

Q: If f(-2) = 14, f'(-2) = -16, f(3) = -7 and f'(3) = -5 then: L. z. ( x. f"(x) dx = Submit Question

A:

Q: Solve the following differential equations d²y d+2 +3. a) b) dy -54y= 0, y(0)=7,y'(0) = -2 dy -2x 2x…

A: The differential equation given is  a) d²y/dx²+3(dy/dx)-54y=0  y(0)=7, y'(0)=-2  "As per the rules,…

Q: What is the value of csc() if the terminal side of the angle intersects a circle at the point (-8,…

A:

Q: 1. convergent (a) Determine whether each integral is convergent or divergent. Evaluate those are (b)…

A: ∫0∞e5-2xdx

Q: What are the polar coordinates of the rectangular coordinates (-√3, 1)? (4, 11) (2, 11) (4, 5) (2,5)

A: NOTE: Refresh your page if you can't see any equations. . the given rectangular coordinate is, .…

Q: Question 4 Given that sin() = 0.73, match each trigonometric function with its value. cos(8) csc (8)…

A:

Q: Section 4.3 #48 Determine the value of the logarithm without using a calculator loga =>

A: Given,

Q: Approximate the area under each curve over the specified interval by using the indicated number of…

A:

Q: Find the value of d2y/dx2 at the point defined by the given value of t. x-9 sin t. y - 9 cost, t =…

A:

Q: 17) Use the Binomial Expansion Theorem to determine the coefficient of xº in the expansion of (x² +…

A:

Q: π Compute the definite integral cos³ (2x) sin² (2x) dx .

A:

Q: What is the equation of the square root function in the graph? y = y 10

A: NOTE: Refresh your page if you can't see any equations. . the square root function is in the form…

Q: 75 Compute the definite integral cos³ (2x) sin² (2x)dx . 4 30 2 15 1 15 6 775 10

A:

Q: PART III: Solve the following problems. 2. The sum of two positive numbers is 2. Find the smallest…

A:

Q: Find the future value if $15,000 is invested for 7 years at 10% compounded continuously. If needed,…

A: Find the future value if $15,000 is invested for 7 years at 10% compounded continuously. If needed,…

Q: Making this substitution using [₁ gives us 10 sin²(x) cos³(x) dx 10 10 sin²(x) (1 - sin²(x)) cos(x)…

A: To evaluate the following integral. ∫10 sin2x cos3x dx Note: After seeing the previous solution, we…

Q: Solve the following differential equations dr² dy +7x16y=0, y(1)=3,y(1)=1

A: NOTE: Refresh your page if you can't see any equations. . The given DE is, compare this equation…

Q: 5. Consider the following vectors in 3D: (1,2,3) & (-4,0,1). Determine a vector that is orthogonal…

A:

Q: Find the Laplace tranform of the ff: 2x2

A:

Q: First make a substitution and then use integration by parts to evaluate the integral [ 2 si Answer:…

A: The given integral is ∫2 sinxdx

Q: Divide. 4+i -2+3i Enter your answer, in standard form for complex numbers, in the box. 4+i -2+3i ||

A: Given

Q: If you want to earn 15% annual simple interest on an investment, how much should you pay for a note…

A: It is given that the annual simple interest on the investment is 15%.  also the amount after 3…

Q: What is fxe-* dx ?

A: Consider,

Q: Fill in the missing entries of the matrix, assuming that the equation holds for all values of the…

A: Two matrices are said to be equal if they have the same order and the corresponding elements are…

Q: Use the graph of G shown to the right to find the limit. If necessary, state that the limit does not…

A:

Q: Q1 In a college meal plan, you pay a membership fee; then all your meals are at a fixed price. At a…

A: Given that the cost of 30 meals= 440. And cost of 60 meals=430.

Q: 2. a) Evaluate the integral. sin(3nt)dt b) 2x³ +3x6 dx

A:

Q: The complete graph of y = f(x) is given below. Use it to graph the following function. g(x) = f(x) +…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) [₁ 7 tan²(x) dx

A: We have, ∫  7 tan2xdx

Q: Suppose 4²x = 12. Then x = A. In12 OB. (√12)³ 3 OC. 3 D. 109412 E. 09122 2

A: 1). logbxa=a·logbx  where x,b>0, b≠1 2). logbb=1

Q: What is S₂²1² dx ? 2 1+3x² (tan¯¹ (3√√/3) — tan¯¹ (2√√/3)) ·(tan¯¹ (3) — tan−¹(2)) tan¯¹ (3√√/3) —…

A: We have to find the proper integral.

Q: A house was valued at $120,000 in the year 1993. The value appreciated to $145,000 by the year 2001.…

A: We have, A house was valued at $120,000 in the year 1993. The value appreciated to $145,000 by the…

Q: Calculate the volume of the parallelepiped spanned by u = (1, 1, 9), v = (5, 0, 3), and w = : (0,…

A: To calculate the volume of the parallelepiped spanned by  u=1, 1, 9, v=5, 0, 3, and w=0, -3, 0.

Q: Find two unit vectors orthogonal to both (2, 8, 1) and (-1, 1, 0). (smaller i-value) (larger…

A:

Q: Compute the improper integral 1 x ln(x) -dx if it exists. If not, select DNE.

A: We have to find the improper integral.

Q: Question 2 Match each trigonometric function with the quadrant where it is positive. sine cosine…

A:

Q: Question 4 Given that v = (0, -2) and w=(5, -8), what is w - v? A B C D (-5, -6) (-5, 6) (5,6)…

A: v =<0,-2> w = <5,-8> We have to find w-v

Q: What is an antiderivative of the function x + 2xln(x)? x²ln(x)+2023 xln(x) +2023 In(x) + x xsin(x) +…

A:

Q: 1. Solve the following DE using Variation of Parameters: (D2 + 1) y = secx tanx

A: given that (D2+1)y=secx tanx solve it by using method of variation of parameters

Q: The cost of sending a large envelope via first-class mail is $0.76 for the first ounce and $0.18 for…

A:

Q: Represent a⃗ +b⃗  by using the head to tail method. Use the Vector tool to draw the vectors,…

A: We need to find vector.