Match the vector coordinates to each Cartesian vector. y M D B -4-20 с U G X -4 W 14. CD 15. JK 16. AB 2 Match the magnitudes to their Cartesian vectors. S 182 T 17. R 121122 H 2 PQ 18. VW 2 19. RS N 4 K +x A. [3,-4] B. [-2,6] C. [4,3] D. [3,2] E. [5,0] A. 5 B. √10 C. 10 D. 2√2 E. 1

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: Consider the integral

Q: Let f(x) = 8 + 7- 6 5 4- 3 2 H S ૨૨ 4 2 In(x) 1 2 3 4 5 6 7 8 Find the arc length of f(x) on the…

A:

Q: Find the derivative r '(t) of the vector function r(t). r(t) = e¹¹i-j+ln (1 + 5t) k

A:

Q: Find dy. y=x³ (6 - 1 ) dy = (Simplify your answer.)

A:

Q: Test for convergence or divergence with the Direct Comparison Test.

A: Refer to explanation block Explanation:

Q: A full garbage truck weighed 6 1/8 tons After dumpimg the trash the truck weighed 4 8/10 tons. What…

A:

Q: 16. Absolute Value inequalities may produce one long inequality, or two seperate inequal- ities as…

A: Solution is following in explanation step.

Q: Determine if the series converges or diverges.

A: Refer to explanation block Explanation:

Q: Text Liave The probability distribution for the experiment of a chatbot guessing at three true-…

A:

Q: Use cylindrical shells to find the volume of the solid generated by rotating the curve y = 2 ln(x)…

A: By using the cylindrical shells, to find the volume of the solid generated by rotating the curve…

Q: Two capacitors (C₁ = 6.00 μF and C₂ = 10.0 μF) are now connected in series and to a 9.00-V battery.…

A: (a)    3.75μF (b)   V⁠⁠⁠⁠⁠⁠⁠1 = 5.625 V         V2 = 3.375 V (c) Q1 = 33.75μC      Q2 =…

Q: Question You are stationary on the ground and are watching a bird fly horizontally towards you at a…

A: The figure

Q: In this problem, p is in dollars and g is the number of units. Suppose that the demand for a product…

A:

Q: Consider the space curve r(t) = (4 sin(5t), 2 cos(5t), 2√3 cos(5t)). a. Find the arc length function…

A:

Q: The future value that accrues when $500 is invested at 5%, compounded continuously, is S(t) =…

A:

Q: To find the arclength of y = 2x²-1 from x = 0 to x = 4, which is the correct integral? 4 = Sº OL=…

A:

Q: √x² - 4 ·S x dx.

A:

Q: Q36: Let h(x)=√x+2, g(x) = sin x-3, then find the value of (goh)' (2) (hog)'(2) (a) (b) (sin 2)+1 2…

A: Given:two function To find:

Q: Consider regular pentagons with side length  s , area  a , and perimeter  p . Suppose  f ,  g ,  h ,…

A: The objective of the question is to find the area of a regular pentagon whose perimeter is 148 cm…

Q: Q1. Find the general solution of the following differential equations and then find the particular…

A: Note:-Since you asked multiple questions which are not interlinked, according to our policy we can…

Q: Sketch the solid obtained by rotating the region around the indicated axis. Using the sketch, show…

A: The first step is to understand the region that we are dealing with. The region is bounded by the…

Q: SEQUENCE AND SERIES (b) Study the patterns in the table shown below, and on the answer sheet…

A:

Q: Compute the right-hand derivative D.f(0) = 4x+7 if x<0 {f(x) = 7x+8 if x 20 The right-hand…

A:

Q: Find y as a function of t if y(0)= 4, y'′(0) = 1. y(t) = 25y" + 30y' +45y = 0,

A: given

Q: Solve the initial value problem. y'''-2y'' - y' + 2y = 0; The solution is y(t) = y(0)= 5, y'(0)=7,…

A:

Q: Consider the function f(0) = 4 sin(20) where represents a number of radians. a. Complete the…

A:

Q: lim x-0 1 - cos x sin x

A:

Q: this use step by step detailed explanations and conclusions for better understanding thanks!…

A:

Q: 2y y²-25 dx

A: As per our guidelines we are supposed to answer only one question please repost the other question…

Q: The functionsf and g are each twice differentiable for all real n f(x), f'(x), g(x), and g'(x) for…

A: The given integral value is .The aim is to find the value of

Q: Suppose that y is a differentiable function of x andw = cos(y6).Express the derivative of w with…

A: The objective of the question is to find the derivative of w with respect to x, where w = cos(y^6),…

Q: Quiz 1 e The slope of the tangent line to the graph of x + y + xy = 3 at (1, 1) is a. None of these…

A: The objective of this question is to find the slope of the tangent line to the graph of the given…

Q: 2x - 2 (x + 2)(x − 3) J -d.x.

A:

Q: How do I find the hight of the building?

A:

Q: The number * (in thousands) of cat flea collars demanded each year when the price of a collar is p…

A:

Q: The equation Q = 12e-0.055t gives the mass Q in grams of radioactive potassium-42 that will remain…

A: The objective of the question is to find the initial quantity of radioactive potassium-42. The…

Q: compute r' (t)= and / r(t) dt= with C a constant vector. i+ i+ j+ j+ k k+ C

A:

Q: Determine whether the given function is a solution to the given differential equation. d²0 de dt²…

A:

Q: Let r(t) = (√t + 5)i + Then lim r(t)= t→1 (²-0). t i+ j+ sin(-4лt) k. j+ k.

A:

Q: 15. Determine the coordinates of the point on the graph of f(x) the tangent line is parallel to the…

A:

Q: Compute f(g(x)), where f(x) = x and g(x) = 8x - 5. d dx To compute f(g(x)), first find f'(x) and…

A: Given Formulas we use:

Q: (7) Lim x= 1/2 X- X COS X TT- 2X

A: Since you have posted multiple questions and we will provide the solution only to the first question…

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: Given coordinate of point (-0.59, 2.53)

Q: The applet below allows you to view three different angles. Use the slider at the top-left of the…

A:

Q: Suppose that the total cost in dollars of producing x units of a product is given by C(x) = 15,000 +…

A:

Q: 17. The following function describes the motion of an arrow shot upwards. The height h in meters…

A:

Q: 11. Evaluate the following limits. If the limit does not exist, write DNE. 2x²-32 -√x a) lim X-4 2-√…

A:

Q: Use the substitution t = tan rπ/2 X to transform the integrand into a rational function of t and…

A: By using the substitution  to transform the integrand into a rational function of t and then to…

Q: Use implicit differentiation to find du/dv if √u+√v=5. Answer: 9

A: Consider the equation

Q: ху (x, y)→(0, 0) x² + y² 16. Determine whether lim exists.

A: