What are the first 5 terms of the sequence a₁ = 5₂ a = 2n-a n-1, where

Q: d Calculater₁(t) · r₂(t)] and [r₁(t) × r2(t)] first by differentiating dt the product directly and…

A: r1(t)=cos(t)i+sin(t)j+5tk,r2(t)=4i+tk,r1(t).r2(t)=(cos(t)i+sin(t)j+5tk)(4i+tk)r1(t).r2(t)=4cos(t)+5t…

Q: For each of the following integrations, choose the method that can be used to find its solution.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. ) cos (4) COS -π/2 f/² sin (1) sin (²) dx (Consider initially the first 2 terms)

A:

Q: (D4 − 1)y = 0

A: D4-1y=0

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Find u+v

Q: Use Squeeze Theorem to evaluate lim X→+∞ cos (x) log ₁/2 (x)

A:

Q: Integrate the following functions f(x₁y) = (x-1) =x over the given regions y=x²

A:

Q: 27 If (2x 3) [133] [3] 3] -3 23 1. 2 13 2 2 3. 13 2 23 2 - 0, then the value of x is

A:

Q: 8 An acceleration function is expressed as a (s, v) = s²- determine displacement by integrating '…

A:

Q: d²y 2 dx² dy dx 6y=e²x

A:

Q: Find the volume of the solid bounded above by f(x,y) = 8x², below by the xy-plane and the sides by y…

A: Volume

Q: G. q 1-Jx 휴-1 14 314 (x+1) dx 1114 X2 (x-1) X2(x-1) = Anㅎ Sa ㅋ. S? 1+Sx dx=4n 은

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS, WE ARE ANSWERING ONLY FIRST QUESTION FOR YOU AS PER…

Q: Find the limit, if it exists. lim 5x+4 x 7x-6 Need Help? Read It Master It

A:

Q: Sπ/4 ___xª dx (x²+4)5/2 (Use trigonometric substitution)

A:

Q: If [2x 3 23 1. 2 13 2. 2 3. 4. - 13 2 23 2 ] [ 1 -3 0 * 0 = 0, then the value of x is

A:

Q: Given: (1+2x) e-x dx. Using integration by parts and letting u = -1- 2x, dv = f(x)dx, then the value…

A: Let's find.

Q: Q2) Which of the following series is converge or diverge Σ{"} ,0.7777777777777 n=1 . Σ n=1 27

A: a)=∑n=1∞ n-1n2=∑n=1∞ 1n-1n2{using p-series test:∑n=1∞ 1np converges only when p>1diverges for…

Q: The junior class has 50 students. Fifteen students take only French, 5 students take only Latin, and…

A:

Q: Using trigonometric substitution, what is sec-1 (-) √x²-9 6x² + C sec (1) √x²-9 6x² + C sec-¹ √x²-9…

A:

Q: 5. f(x)= x³; [2, 3]

A: To calculate area under curve we have to integrate the function within the given limits Please note:…

Q: VI. Suppose h' is continuous at x = 0 and h'(x) =tan(2x) - 1 if x > 0. Find h(0), if it exists.

A: Let's find.

Q: The IBP formula fudv=uv-fvdu Which of the following statements fits and satisfies the equations?…

A:

Q: Find the volume generated by revolving the given bounded plane area about the line. Use shell…

A: Volume

Q: ♫♫¹⁄² sin (*) cos (*) sin (²) dx (Consider initially the first 2 terms)

A: Solving the definite integral.

Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 2-√x-1 1. lim 4. lim 5 3x - 4 2.…

A:

Q: 4. Evaluate lim (cos x) ¹/2². 2-0

A:

Q: Identify the center of the conic section whose equation is 4x 2 - 25y 2 - 8x - 100y - 196 = 0. (-1,…

A: We can identify the center as below.

Q: u be a differentiable function of du (a) (er) dr d du (b) = (6") = b. Inb dr dr 1 du (c) (In u) dx u…

A:

Q: 31. (a) 32. (a) 33. (a) 34. (a) ₁12x-11dx • S²₁₂ √2+ |x|dx 2+ |x| L₁ let |e* - 1|dx *) ₁²³-1-15|dx +…

A:

Q: dx tan x +sinx+1 Half-angle Substitution

A:

Q: Solve the differential equation and simplify (D^3 + D)^2y = 0

A:

Q: dx3 d²y_dy+y=0 dx² dx

A:

Q: Find an equation of the plane that contains all the points that are equidistant from the given…

A:

Q: Describe the long run behavior of f(p) = (p+ 2)(p+ 4) (p + 5): As p →→ ∞, f(p) → ? ✓ As poo, f(p) →…

A:

Q: 5-10 Find the area under the curve y = f(x) over the stated interval. 5. f(x) = x³; [2, 3] 7. f(x) =…

A: Area

Q: 6x5-25x+8x3+43x²-8x-12 4. Find (3x+-11x² +9x²-11x+6) (9x²+12x+16) -dx if this can be reduced to 63…

A:

Q: 4d³y-13 +6y=0 dy dx3 dx

A:

Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Given: A courier service will deliver a package only if the length plus girth does not exceed 108…

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: Definite Integral and Plane Areas of integration (snow solution) 3 1. dx Sö = 2 1+x 4 dx 2. Sh 25-x2…

A:

Q: fe²x+Inx² sin x² dx = e2x cos x² dx

A:

Q: 1. ² sin() cos() sin(x) dx (Consider initially the first 2 terms)

A:

Q: e2x+Inx² sin x² dx -+fe²x cos x² dx

A: This is a problem related to integration. Based on the general formula we will solve the problem.

Q: Exatuate the integral QUS √3x xام واح

A:

Q: Integrating Factor by Linear Equations: dy 11.42 dx =

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: if any. Find the absolute extremum point(s) of f(x) = el-cost on [−5, π],

A:

Q: Bernoulli Equations: 1. (x² + y²)dx - xydy = 0

A:

Q: dy II. Find Do not simplify your answers. dx 1. log; (√2x² + y) + tan(2* — 7³) = sin¯¹ (2²-1) + - Б

A:

Q: II. Find Do not simplify your answers. 1. log, (2x² + y) + tan(x − ³) = sin−¹(x² − 1) +

A: Given problem:-

Q: 19 Give the properties for the equation 9x 2 + 16y 2 - 36x + 96y + 36 = 0 Major Axis 8 16 9

A: