(8x3 + 2x) dx = 2x4 + x² Select one: O True O False (sinx/cos-x)dx = sec x + C Select one: O True O False

Q: 3) roțațion 90° counterclockwise about the origin

A: We know that,  90° counterclockwise rotation: (x,y) becomes        (-y,x)

Q: A stone is thrown straight up from the edge of a roof, 600 feet above the ground, at a speed of 16…

A: The answer is in below steps.

Q: Find the domain and range

A:

Q: Given f''(x) = 4x – 5 and f'( – 3) = 3 and f( – 3) = 6. %3D Find f'(x) = and find f(3)

A: Given, f''x=4x-5 , f'-3=3 and f-3=6 We have to find f'x and f3.

Q: Question 7 Given f"(x) = 2z – 6 and f'(- 2) = – 4 and f( - 2) = 2. Find f'(x) = and find f(4)…

A: Given query is to integrate and find the function.

Q: Зx-5 The function f(x) = is discontinuous for what value of x? 3 2-3x x = 4/3 O x = -2/3 X = 2/3…

A:

Q: Find a polar equation in the form r= f(θ) of the ellipse with eccentricity e= 6/7 such that one of…

A:

Q: 2.ryda + (a² – 1)dy = 0

A: As per guidelines we have to solve one question

Q: Determine if the given function is continuous on the given interval a. [2,5) , x <O f(x) = %3D 5x-8…

A: To determine whether the given function is continuous on the given interval.Interval=[2, 5)fx=1x,…

Q: Find the absolute maximum and absolute minimum of the function on the interval. f (x) = 5(x² -4)/z³,…

A:

Q: Find the slope of the tangent line to the polar rer = 1/0 at 0 = T.

A:

Q: You fianested $10o00 pt 32 pinterest fer year, fomfounded Seanic prnuallye Aftea'Houwmosnig years…

A: topic - compound interest

Q: (a) A function f (x) is given as 1 x0 2x Evaluate lim f(x) numerically by constructing a table. (b)…

A:

Q: student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

A: Given query is to find the maximum height.

Q: (v- 2) dy -(x-V=1) dy = 0 ans y- 3 =(2- v) In Icly -2 )I

A:

Q: V10 x (Væ² +1 – Væ² – 1 d.x .2 - - V5 Vx4 – 1

A:

Q: V25x² -69 – dx

A: We will find the integral as following.

Q: 9y²dy 1+ y*

A:

Q: Given: -8 17 sece = -17/15 17/8 -17/8 17/15

A:

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -175 feet per…

A: see below the answer and calculation

Q: Find the Gauss quadrature rule for f(x)dx z wof(xo) + wif(x1) + wzf(x2). Nodes: Xo = X1 = X2 =…

A:

Q: 3dt 1. J (2r+8) fr+1 Suv-2+1 ¢v 25x -9 dx 3. 4. V40-4v-v dv

A:

Q: Solve the ff first order DE using integration method, by substitution, or bernoulli's equation. show…

A:

Q: Choose the correct speed and direction of a plane with a velocity of (5,-12) 13,113° 17,293° 17,113°…

A:

Q: 4. Given f"(x) 2x(x²-3) 2+1) find all intervals of concavity and x-values of any inflection points.

A:

Q: 4. V40-4v-v dv

A:

Q: Using the substitution z=Vx+2, the integral xyx+2 dr is equivalent to (A) | 222(z2- 2) dz .7 (в |…

A:

Q: 5)Let f ( x ) =3x4 + 4x3 Find the derivative. b)Find the critical numbers.

A: Given problem:- 5)Let f ( x ) =3x4 + 4x3   a) Find the derivative.   b) Find the critical numbers.

Q: (sin x + cos x)dx sin² x sin 2x sec x dx sin 2x dx 2 sin x cos² x

A:

Q: 7x - 5. Consider the function f(x) = 7x0 + 8x Enter the antiderivative of f(r) + C

A: Given the function  f(x) = 7x10 + 8x7 - 7x2 - 5. We have to find the antiderivative of f(x).

Q: 2 dx + ( 2x-y+3) dy = 0 ans. y + C = - In |2y-y+4|

A: See the details solution in below

Q: Find the general solution: dy = tanxtanydx %3D

A:

Q: Consider the function f(r) 10r 10 + 9x° 2x2 6. Enter an antiderivative of f(x). Do not enter +c as…

A: Solve for the antiderivative

Q: Find the open intervals on which the function is increasing or decreasing. Apply the First…

A:

Q: wo vectors beginning at the same vertex of a triangle are ⟨2,3⟩ and ⟨-3,2⟩. Choose the correct…

A: It is given that, Two vectors beginning at the same vertex of a triangle are ⟨2,3⟩ and ⟨-3,2⟩

Q: S (sech*y – sec®y) dy

A: I =∫ (sech4y -sec6y) dyI=∫ sech4y -∫ sec6y dyI=∫ sech2y (1-tanh2y) dy       -∫ sec2y (1+tan2y)2…

Q: Determine whether the following statement is true or false. If this statement is true, explain why.…

A: Explanation of the answer is as follows

Q: 2. y' + xy = xy

A: Find your answer below

Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

A: Given,            fx=-0.002x2+3.2x-60To find : Find the absolute extrema of the function.

Q: Find, correct to three decimal places, the point on the curve y 9 In x + eX at which the tangent…

A: Find your answer below

Q: given

A: Please refer to the image below

Q: dx 4 2 +3

A:

Q: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: We have to find the increase of area

Q: 2x + 5 What is true about the function Ax) = X+3 as x → co?

A:

Q: Directions: In implicit differentiation, we differentiate each side of an equation with wo variables…

A:

Q: 2

A:

Q: 2xydx+(x^2)dy=0

A:

Q: Find the limit of s(n) asn→ 0, 4 s(n) = n3 n(n + 1)(2n + 1) 8

A:

Q: Question 5 of 25 An airplane climbs at an angle of 24° at an average speed of 480 mph. How long will…

A: Let 'h' be the hypotenuse sin(24°)=3.1h 0.40674=3.1h ⇒ h=3.10.40674 h=7.62158

Q: Consider the following. u = (1, 2, -3), v= (5, -1, 0) (a) Find the projection of u onto v. (n. 264)…

A: Find your answer below