16. S sin 3x cos 3x(cos 3x+1)² dx

Q: ΣΠ n=1 a. 1+4+1 6n 61 5 b. 41 5 is equal to c. The series diverges. d. 66 5

A:

Q: solve the differential equation 3(3x^2 + y^2)dx - 2xydy = 0 (A) y=c(9x^2 + y^2) B) x= c (9x^2 +9y^2)…

A:

Q: Find the indefinite integral and check the result by differentiation. COS X 1 - cos²x dx

A: Recall; sin2x+cos2x=1

Q: 3 14 f(x) dx where a = 5 - ["² f(x) dx = [ f(x) dx 3 a and b =

A:

Q: J dx 4+x²

A: Given,            ∫14+x2dx

Q: Solve (2y³ – x³) dx + 3xy² dy=0; y(1) = 1 a. x² (5y³ + x³) = 4 y? (5y3 — r3) =0 x² (5y³ x ³) = 4 O…

A: Given that, the differential equation is 2y3-x3dx+3xy2dy=0.…

Q: 59 Find the reference angle for the angle 12π Since the given angle is greater than 27 = 6 we find a…

A:

Q: On the line y = 2x + 1, what value of Δy corresponds to Δx = 3? Δy =

A: y=2x+1 We have to find ∆y corresponding to ∆x=3.

Q: Use the Ratio Test to determine whether the series converges absolutely or diverges. 8 Σ k=1 3k² 7k…

A:

Q: 1. The position of a particle moving in the ry plane at time t units is given by the vector equation…

A:

Q: Exercise. Find the curvat 1. R(t) = ti+t²j+t³k

A: R(t)=ti+t2j+t3k Curvature formula κ(t)=R'(t)×R''(t)R'(t)3

Q: Which of the following is the solution to the differential equation dy = y³ce² that satisfies the…

A:

Q: Question 13 (1 point) ✓ Saved Which of the following CANNOT be an acceptable direction vector for…

A:

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n - 00. n -£ (+ + -)…

A: The given sum is limn→∞∑i=1n4+in8n use the Riemann integral formula, limn→∞1n∑i=1nfin=∫01f(x)dx use…

Q: intervals

A: A function is increasing if when y is increasing with respect to x ot vice versa. Hence, Given…

Q: Use cylindrical coordinates to evaluate the integral below. F √x² + y²dv, where E is the region that…

A: We can solve this as follows:

Q: 2. What is the maximum value of the parabola shown? y = - 2(2x − 1)² - 5 a) x = -1/ b) y = -5 c) x =…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  factor out 2

Q: . Find the equation of the parabola with x-intercepts -7 and 3, and that 2, -11). Express your…

A: Given parabola has two x-intercepts, (-7, 0) and (3, 0). Clearly its either upward or downward…

Q: 3. Which of the following is TRUE about the parabola for the function f(x) = 2(x + 3)² + 6 a) the…

A:

Q: 1. Evaluate. ³-2x² +12 a) lim x--2 x² +1 b) lim -8x+7 x-7

A:

Q: Find the following using the table below. Xx 1 2 3 4 f(x) 3 4 2 1 f'(x) 2 3 2 1 4 g(x) 2 3 1 4 g'(x)…

A:

Q: Evaluate the definite integral by the limit definition. [²₁x² + (x² + 5) dx Submit Answer

A:

Q: 2. Simplify the radical expression: 7 2 -1 156x y z -5 -1 2 √39x y Z

A:

Q: Consider the function f(x) = r? – 5 +4 x + 1 a. Find the first derivative. f'(x) = b. List any…

A:

Q: Find the exact area of the region bounded by 2y = 4√√x, y = 4, and 2y + 2x = 6

A: Here we have to find the area of the region.

Q: Write z₁ and 2₂ in polar form. Z₁ = Z2 = Find the product 2₁2₂ and the quotients and (Express your…

A:

Q: Use the law of sines to solve the triangle, if possible. B = 40°, C = 29°, b = 30 a = O A = (Do not…

A: The triangle has the measures B=40°, C=29°, b=30 Law of sines: sinAa=sinBb=sinCc

Q: 17. tan (cos x)

A:

Q: sec x In the figure to the right, the equation of the solid curve is y= 2 dashed curve is y=2 cos2x.…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Write z₁ and 2₂ in polar form. Z₁ = Z2 = Find the product 2₁22 and the quotients and (Express your…

A:

Q: Use the substitution u = :) 2x to evaluate dx 4x² +1

A:

Q: Solve the differential equation (x+3)−¹ cos (y) dx - [sin (y) In |5x + 15|-y-¹] dy = 0 cos (y) dx a.…

A:

Q: 49. y' + (-) x =) = xy²

A:

Q: The diagram shows three islands in a bay. You rent a boat and plan to visit each of these remote…

A: The diagram shows three islands in a bay. You rent a boat and plan to visit each of these remote…

Q: (2xy + y) dx + x (x + 1) dy = (x² - 1)dx

A:

Q: An internet bookstore charges $15 shipping for orders under $100 but provides free shipping $100 or…

A:

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

A:

Q: 1. S(√t -√² + ³√³) dt

A: Solution:- Step:1                    1.         ∫(t -t23+t35 ) dt

Q: Find the difference quotient f(x+h)-f(x) for f(x) = x² - 4x. h

A: Here is the solution:

Q: Find two positive numbers that satisfy the given requirements. The second number is the reciprocal…

A:

Q: 5. dy/dx = sin(x + y). ANS. x+c = tan (x + y). sec (x + y).

A: Please see the below picture for detailed solution.

Q: Given that the DE y" (t)-6y' (t) + 6y(t) = 2e6t has a solution of the form Ce6t determine the value…

A:

Q: 7-x, x4. Complete parts a through d below. Let f(x) = a. Find lim f(x) and lim f(x). Select the…

A: Given that a limit problem and we solve by  using limit method of right-hand  and lefthand  limit…

Q: с хр. I + X (1+x) ''војо

A:

Q: 5. S (2x+1) dx (x+4)*(x-3)6

A: Given - ∫(2x+1)(x+4)6(x-3)6dxthen we know that -…

Q: Consider the function f(x) = 6x¹0+ 3x5 - 2x³ - 3. An antiderivative of f(x) is F(x) A is and n is…

A: The given function fx=6x10+3x5-2x3-3 use the integration formulas, ∫xndx=xn+1n+1+C∫dx=x+C

Q: Find the particular solution of the differential equation satisfying the initial condition y(0) = 6.…

A:

Q: 150 5 -4 -2 100 50 -50 -100 -150 200! 2 4 6 8 Xx

A: We know that, The highest point the graph ever reaches is the absolute maximum. The lowest point the…

Q: Consider the following functions. f(x) = X Find (fog)(x). g(x) Find (gof)(x). = X X + 9 Find the…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile…

A: