Find at x = 4 if y = 4x² - 2 and dt da dt Question Help: Video Submit Question dt = - 3.

Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cose

A: The given function is : s(θ)=200sinθcosθ We need to find the derivative in two ways.

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 300…

A:

Q: 21. 22. 8) For problems 21 and 22, consider the graph of the function below. Determine the intervals…

A:

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

A:

Q: This equation is an example of which one of the following? Ax + By > C A two-variable inequality…

A: Since , x and y are variables , therefore given inequality is a  Two - variable inequality. Option…

Q: Question 22 Find the polar equation for the Cartesian curve ² 0₁ = cos O p = O O sec @tan 0 1 T=…

A: Please see the below picture for detailed solution.

Q: (x-3)²=2(y- 5)

A: Given the equation is x-32 = 2 y-5

Q: Use mathematical induction to prove that the statement for all positive integers. + (2n-1) = n² a)…

A:

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. 3 + 6x3/2 f(x, y) R:…

A: In this question, we need to find the area of the surface.

Q: ) In the following exercises, use direct substitution to show that each limit leads to the…

A: Given, limx→ 3x2-2x-3x2-9LetL=limx→ 3x2-2x-3x2-9L=limx→ 3x2-3x+x-3x2-32L=limx→…

Q: 1-y 2 Consider the plane π : x - 2y + 3z − 1 = 0 and the line 1: x= 1. Find the point of…

A:

Q: Given f(x) = 2* cos x, 0 ≤ x ≤ í, find the critical point(s) on the given interval. If necessary,…

A: Answer :   Critical point : x = 0.193π and increasing in nature.

Q: The total cost of producing x newspapers is given by the function C(z) = 20x-x². Find the marginal…

A:

Q: 1 cos³x -dx =

A: The given integral is 1/Cos3x.

Q: 7. Evaluate f F dr, where F(x, y, z) = xyi+yzj+zxk and C is the arc of the twisted cubic given by x…

A:

Q: Current Attempt in Progress Find the differential of f(x, y) = 2 Enter the exact answer. df = Use it…

A:

Q: Find the Fourier series for the following functions: f(t) = |sin t], -1 < t < n and The function is…

A: Solution is given below:

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: PLEASE LIKE .

Q: Use the rules for sums of powers of integers to compute the sum. 24 4.² k=8

A: Recall: sum of squares of n integer                    ∑i=1ni2=n(n+1)(2n+1)6

Q: Find the equation of the tangent line at the point 0, In 3 3 for f(x)=In 3 e²x² 2e +e²x

A: Topic:- application of derivatives

Q: Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both…

A:

Q: Use integration by parts to find the antiderivative of f(x) = ln(x).

A:

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function.…

A:

Q: Which of the following represents a valid first step to solving this system of equations using the…

A:

Q: Factor x^2 + 10x + 12. (x + 5) (x + 7) (x + 10) (x - 12) None of the answers are correct; this…

A: Given: Factor x2+10x+12

Q: The area of the region bounded by the curves f(x)=x²+1 and g(x)=2x+1 is best described by: a. ² [(2x…

A:

Q: If what does the following integral equal? 1 d(v)dv= 8 - d(v)dv = 20 and 8 [*d(v)dv = 6.8 7

A: To evaluate the given definite integral.

Q: Suppose cot(theta)=-2, t in the second quadrant. Find cos(theta)

A: topic:- trigonometry ratios

Q: Question 21 Consider the region in the third quadrant between the circles a² + y² = 4 and a² + y²…

A:

Q: If a cup of coffee has temperature 92°C in a room where the ambient air temperature is 23°C, then,…

A:

Q: The decay rate for a radioactive isotope is 1.6% per year. Find the half-life

A: Given that the decay rate for a radioactive isotope is 1.6% per year.Our Aim is to find the…

Q: Question 17 > At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 16…

A: Please see the below picture for detailed solution. I answered question number 17.

Q: A particle is moving with acceleration a(t) = 6t+ 6. its position at time t = 0 is s(0) = 11 and its…

A: GIven: a(t)=6t+6 s(0)=11 v(0)=9   We know that, the integral of acceleration with respect to time…

Q: What is the instantaneous rate of change of y=y=−2x^2+2x at x=0 ?

A:

Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…

Q: 3. S (5x-12)dx x3-6x²+8x

A:

Q: let cosx=-4/5, pi<2<3pi/2. find csc(x/2).

A: Solved below

Q: 200000 Find the limit algebraically by factoring the expression first: lim 211 0 Limit Does Not…

A:

Q: car rental companies. Cars R Us charges $100 up front, plus 10 cents per mile. Thrifty Car Rentals…

A:

Q: Evaluate the definite integral 8 2x² + 7 √x -dx

A:

Q: S 1 (x²+6x+5)3/2 dx

A:

Q: 1.0⁰ 7 -2 dy 1+ y² 1 +x³ = π 2x + 3 da is an improper integral 1 - 1 (₂ ² ² ₁ + 2x + 1) dz dx + 1…

A: Given problem:- Which of following  is True? a)  ∫0∞dy1+y2=π b) ∫-2711+x3dx is an improper integral…

Q: A tank contains 70 kg of salt and 2000 L of water. A solution of a concentration 0.0175 kg of salt…

A:

Q: Airport B is 400 miles from airpot A at N30E. A pilot accidently flies East 200 miles per hour for…

A: To find the destination after his error.

Q: 19. Which of the integrals below represents the set-up of ff xy dS, where S is th vertices (1, 0,…

A:

Q: Which of the following equations represent(s) a line that goes through the points (2,3) and (1,1)?…

A:

Q: An integral that gives the arc length is JO (Type exact answers.) dx.

A:

Q: Find the derivative of the given function. (²) w(x) = sin a) w'(x) = -cos COS ( 1 ) Obl wd-es() 1 b)…

A:

Q: 16x4+9y12 (x,y) (0,0) 4x²+3y6 Show that lim does not exist.

A:

Q: The area of the surface formed by revolving the curve x = 2√1-y in the interval 0 ≤ y ≤ 1 about the…

A: