Evaluate the definite integral. (₁ sin(2t)dt

Q: Find the area of the surface generated when the curve: b) x=2sqrt(4-y), 0=<y=<15/4 is rotated about…

A:

Q: Use a definite integral to find the area under the curve between the given x-values. 1 f(x) = X from…

A:

Q: If the amount of powder for a specific substance is 100 mg, and if the ratio is 2:4:8, how much is…

A: use the ratio and proportion

Q: 7. Convert the points from polar to rectangular. Plot all points on the same graph and label each…

A:

Q: The speed of a particle in a test laboratory was noted every second for 3 seconds. The results are…

A: The speed of a particle in a test laboratory was noted every second for 3 seconds.The results are…

Q: Find the area between the curves. x = − 1, x= 3, y=2e²x, y=e²x + 1 The area between the curves is…

A:

Q: dx So 5x + 1 5x+1

A: ∫0315x+1dxLet u=5x+1.=∫11615udu=15·∫1161udu=15lnu116=15· 4ln2=45ln2

Q: 5. [5pts] Find the power series representation of f(x) = ln(2+x²) around a = 0, and find its radius…

A: Solution 5) Start with the geometric series 1/(1 - t) = sum(k=0 to infinity) t^k. This has radius of…

Q: 4) The function y₁ (x) = x is a solution of the equation (x² + 1)y" − 2xy' + 2y = 0. Use Abel's…

A: The given differential equation:x2+1y''-2xy'+2y=0.Also, it is given that y1x=x is a solution of the…

Q: 14. What is the average value of the function f(x) = cos²(x) on the interval [0, πT] (a) (b) 1 || 2π…

A:

Q: 8) Estimate ₂x¹dx using the average of a left-hand and right-hand Riemann sum with n = 5. You can…

A:

Q: Identify the real numbers x X₁ X₂ X3 and x in the figure such that each of the following is true.…

A:

Q: estion 4 Arial Find the total cost function for the g C'(x)=1.5x²-8.4x+64 where 4 units cost $250…

A:

Q: Evaluate the definite integral 2 sin(x)dz

A: we know that   ∫sinxdx=-cosx+clet  H=∫0π2sinxdxH=2∫0πsinxdx

Q: You didn't do the right riemann sum. In the question it also asks for the right riemann sum and you…

A: given function is    f(x)=1x  and  x on [ 1,5] using intervals n = 5    then   ∆x=b-an=5-14=1so  x =…

Q: One hour after a dose of a milligrams of a drug Predamestane is administered to a person, the change…

A:

Q: Question 1: Use the method of Lagrange multipliers to find the maximum and minimum values of the…

A:

Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

A:

Q: 11. Which of the following is equal to cos(x) dx?

A:

Q: 7. Find all asymptotes of f(x) = 3x - 9 x² - 4x +3

A:

Q: 1 x4 - x³ + x² increasing? Find all intervals where the function f(x) = = 4

A: To find the intervals where the given function is increasing

Q: (a) √ 2³. √√x² +1 >) [sec² (b) dx sec³ x tan x dx

A:

Q: Given that 3 S™ sin² z dr = ³, 8 is ['si T, what is sin¹0 de?

A: Given, ∫0πsin4dx=38π

Q: 3 n-∞0 2-ni (a) lim (b) lim Z-2 (c) lim 7-2 x²-4 x+4 4 x-2 I

A: Solving the first three subparts,

Q: cos(sin^-1u-cos^-1v) Write as an algebraic expression of u and v

A:

Q: 1 /₁+422da dx 1+ 4x2 15. Evaluate (a) tan-¹(x) + C (d) tan-¹(2x) + C -1 (g) tan-¹(x) + C (j) None of…

A:

Q: plify the following expression using laws of set theory (AUB)U(AUB)

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) √x²ex/2 dx

A:

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval…

A:

Q: (a) (b) lim x→0+ lim -0←x (4---)) |x| (142/-/-)

A:

Q: = A particle is moving with acceleration a(t) = 6t+ 2. its position at time t = 0 is 8 (0) 10 and…

A: NOTE: Refresh your page if you can't see any equations. . the given acceleration function is

Q: Price-Supply Equation The number of bicycle. helmets a retail chain is willing to sell per week at a…

A: We will find the required.

Q: Find the sum -18 + 54 - 162 + ... -1458

A:

Q: Question 5.3: Calculate 2x sin ²0 5+4 cos 0 dᎾ .

A:

Q: A particle is moving with the given data. Find the position of the particle. a(t) = 3 cost-2 sint,…

A:

Q: Suppose f is a differentiable function such that f'(x) ≤ 3 for all x = [−3, 8]. If ƒ(-3) = 4, the…

A: To use mean value theorem and find V

Q: If the work required to stretch a spring 1 ft beyond its natural length is 12 ft-lb, how much work…

A:

Q: Consider the function f(x)=∫x04t5+4t4−t3+2t2−3t−5dt. Compute f′′(x)

A:

Q: b) y = cos(5x) ln(x² + 1).

A:

Q: 36. 2² √2² +3° dt

A:

Q: Jse a definite integral to find the area under the curve between the given x-values. f(x) == from x…

A:

Q: For the demand function D(p), complete the following. D(P) = √175 - 3p (a) Find the elasticity of…

A:

Q: 11. Which of the following is equal to n Στα (4) COS n→∞ k=1 (a) lim n (e) Him (1+5) n-x k=1 (e) lim…

A:

Q: Help with y=Ae^kt exponential function Using Unbeknownst to Surrena, the actual reason for her…

A: The rapid growth of the bacteria colony is due to the ideal temperature and environment for…

Q: 1. Sketch the following curves given by the parametric equations. Determine which curves are…

A: (1). (a).The given curve is:x=t2-4       and       y=t2     over  -2≤t≤3

Q: 16) Find the inverse of f(x) = 3x²-5.

A: The given function is f(x)=3x2-5 We have to find the inverse of the function.

Q: A. Give A = AxB = a -2 0 b 3 -2 5 L-5 -1 -8 d 4 3 -1 c 6, B= 1 0 2 41 39 -1 2 21 31. Find all…

A:

Q: 1 7x6 (6-x) dx 0

A:

Q: maximum profit and the number of units that must be produced and sold in order to yield the maximum…

A: Given query is to find the production level for maximum profit.

Q: Let f(x) = 3x + 8, x₁ = 1, X₂ = 2, X3 = 3, x4 = 4, and Ax= 1. 4 (a) Find Σ f(x) Δ.Χ. Ax. i=1 (b) The…

A: As we know ∫abfxdx≈limn→∞∑i=1nfxi∆xHere ∆x=b-an