Consider the following parametric equation. a. Eliminate the parameter to obtain an equation in x and y. b. Describe the curve and indicate the positive orientation.   x=−10cos2t​, y=−10sin2t​; 0≤t≤π

Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ 0 < 360°.) 2 1- (- √/²₁ -…

A: Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ 0 &lt; 360°.)

Q: swer: Evaluate sin(10x) cos(10x) dx.

A: ∫xndx=xn+1n+1+c∫cosxdx=sinx+c

Q: x cos x dx x sin x + cos x + C x cos x - sin x + C

A: We need to find out the integration of the given function.

Q: An equation of a hyperbola is given. (y + 3)²_x² 36 64 = 1

A:

Q: Diff eqn. 25) y' + (tan x)y = cos x when -pi/2 < x < pi/2

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  so here we have

Q: Find by implicit differentiation, given that z²y – 5y4 – – 1. Your answer could involve both and y…

A:

Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ 0 < 360°.) v = 9i + 3√3j…

A:

Q: Logarithms as anti-derivatives. -5 x (In x)² Hint: Use the natural log function and substitution.…

A:

Q: Eliminate the arbitrary constants lnx = Asin3y + Bcos3y + 9x2 - 5

A:

Q: (4) (a) Determine the a,, so that the equation Σ' (b) Try to identify the function represented by…

A: The given equation: ∑n=1∞nanxn-1+2∑n=0∞anxn=0

Q: Given that 3 sác (a) * 812³dx = help (numbers) xdr = 4.5, 3 (b) ["² 12² 3 ». [² 2²dr = 27, and [² 3…

A: NOTE: Refresh your page if you can't see any equations. . it is given that

Q: Can you please rewrite the cross product part. I can't understand because of the handwriting. Thank…

A: use the cross product formula. note: it is 29 in third line from bottom

Q: Evaluate the definite integrals for a) b) S/A C) π/6 -9 cos x dx = 8 sec² 0 do = 10 csc t cott dt =

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin (r) h(a) = √_₁ (cos…

A: solution:-h(x)=∫-1sin(x)(cos(t2)+t)dtusing fundamental theorem of…

Q: Given the equation below, find 24 16x² + 5x²4y+y³ dy dx 3 y = = 22 dy dx Now, find the equation of…

A:

Q: Use integration by parts to evaluate [3.x sin(a) dr. Show all of your work, including what you…

A: Given ∫3xsinx dx formula used ∫u.v = u∫vdx - ∫ddxu∫vdx

Q: f(sin³xcosx + sin²xcos³x) dx hint: find gcf (-3 2-

A: sin2x+cos2x=1dsinx dx=cosx∫sinxdx=-cosx+c∫xndx=xn+1n+1+c

Q: In order to find the area of an ellipse, we may make use of the idea of transformations and our…

A:

Q: Find 3u, -5v, u + v, and 5u - 4v for the given vectors u and v. (Simplify your a u = i + j, v=i- j…

A: given vectors        u = i + j  and   v = i - j   then finding -   (1)  3u = 3 (i + j) = 3i +3j…

Q: dx by completing the square and using trigonometric substitution. √x² + 4x+8 Evaluate the integral e…

A:

Q: Find the distance between the two points shown below. A -6 -5 -4 -3 -2 Distance = -1 4 3 2 1 -1 -2 1…

A: we will find the required.

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A: The given region is: Now use the cylindrical shell method to find the volume of the solid about the…

Q: Without doing any initial algebraic manipulation, select all the functions for which you would use…

A:

Q: If a U.S. dollar purchases 90 Argentinean pesos, and a gallon of milk costs $4 in the U.S. and 120…

A: we will find the required.

Q: Let (in radians) be an acute angle in a right triangle and let x and y, respectively, be the lengths…

A: Topic = Triangle

Q: An employee earns $48,000 in the first year with a company. Every year, the annual salary increases…

A:

Q: Use Green's theorem to evaluate ·ld' F. dr. (Check the orientation of the curve before applying the…

A: Green's Theorem states that a line integral around the boundary of the plane region D can be…

Q: Find the value of tan (a - B) if cos a = 90° a 180°, and 90° <B<180° 3 5 = -³/³, sin ß = 13

A: Given  cos α = -35,  sin β = 513,  90°&lt;α&lt;180°, and  90°&lt;β&lt;180°.

Q: Evaluate the expression -5.3-21. A -7.3 B 7.3 Select one: O a. A O b. B O c. C O d. D C D -2.7 10.6

A:

Q: If f(x) = 4 2:2 find f'(4).

A:

Q: Let f(x) = In (x³) f'(x) = = ƒ' (e²) =

A:

Q: I Evaluate Answer: sin(10x) cos(10x) dx.

A:

Q: Use the Fundamental Theorem of Calculus to find •16 sin(x) S." dx =

A: Topic - Definite integral we are given, ∫116sinx4x34dxFormulas usedddxxn=nxn-1∫sin(x)dx=-cos(x)+C

Q: PROBLEM SOLVING The table shows the heights y of a competitive water-skier x seconds after jumping…

A:

Q: Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x…

A: x=-8-5ty=-5-tt=-5-y  put value of t in x

Q: What is the sum of the first 14 terms of the series 9 + 2-5-12-19-...? -25 Ob -98 Oc -511 Od -518

A:

Q: Use the power series 1 1 + x Σ(-1)^x, x < 1 n=0 to find a power series for the function, centered at…

A: Please see the below answer.

Q: Solve the initial value problem. y"+6y' +9y=0, y(0)=2, y'(0) = -5

A:

Q: 2. Given the vectors and u = (3,−4), v = (−1,2) find |2u + v, |2u|+|v|| Answer: √61,10 + √5

A:

Q: stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 cm/s.…

A:

Q: A forest fire is found at midnight. It covers 1000 acres then. It is spreading at a rate of f(t) =…

A: Initially at time (t=0)  area covered by fire is =1000 acres Rate of spread =4t12   You'll have to…

Q: home​ range, in​ hectares, of a carnivorous mammal weighing w grams can be approximated by…

A: Given query is to find the average rate of change.

Q: A distributor of batteries received complete payment of $9,100.50 for ten automobile batteries that…

A:

Q: When an object is dropped on a certain earth-like planet, the distance it falls in t​ seconds,…

A: Motion: Recall that the velocity is the time derivative of the position, and the acceleration is the…

Q: Define Hybrid Integration

A: A process of integrating cloud based services with the work applications and the system in premises,…

Q: The sides of an equilateral triangle extend at a rate of two cm per second. I drew a half-circle…

A:

Q: Use the information for problems #6 & 7. Let A = {Bob, John, Sally, Fred, James, Heather, Anna} and…

A: Given information…

Q: Find d dx (45x+6)

A:

Q: Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is C(x) =…

A:

Q: Finding Area by the Fundamental Theorem Find the area of the region. y = 5e-x/4 -4 -2 y 10r 8 6 4 2…

A: