Find the general solution of the given system. 12 -13 X' = 13 -12 X(t) =

Q: Consider a triangle ABC like the one below. Suppose that B= 53°, C=58°, and b=18. (The figure is not…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: 3" en – 2n n=1

A:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: . Evaluate the integral. Shade the region whose net area you have found. 3 Ax) S(-x+3x* + 1) dx =

A: Given problem:-

Q: Consider the power series ), Vn² 22n (2.x – 1)" - n² +1 the rodiug ondintorzel of orio

A:

Q: Suppose that c=41, a=57, and C=27°

A: answer is in next step

Q: +00 (5 – 4(ln n)*)" Σ (V3. In n)3n n=2

A:

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4, -3, 5)…

A: topic - equation of a line

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive Maximize…

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

Q: 2 y = cos( x 4

A: answer is in next step

Q: 1 vn Vn + 1, n=16

A:

Q: Use Gauss-Jordan elimination to solve the system 5x + 7y = -11 2.x + y = 1 Make sure you create the…

A:

Q: In(tan-1x) dx с. 1+ x² 1

A:

Q: Show that the equation has exactly one real root. x° + e* = 0 3

A:

Q: Evaluate the following integrals. x³ + 4x² – 2 dx x² (x² + 2x + 2)

A:

Q: If m < f(x) <M for a <x s b, where m is the absolute minimum andM is the absolute maximum of f on…

A: We need to find smaller and larger value.

Q: +00 (2х — 1)" n Σ V4n + 1 n=0

A:

Q: Identify and sketch the graph of the following equations in R. (a) r? + 2y? + z2 – 8x + 12y - 2z +…

A: answer is in next step

Q: Consider the tollowing Maclaurin series: (-1)"x2" (2n)! CS X = for all x € R. n=0 1. Let f(x) =…

A:

Q: What are all the cube roots of -1 in the complex plane?

A: answer is in next step

Q: sin sin tdt J (4tcos cost)

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

Q: evaluate the function f(x)=−3x2+2x at the given input a) f (- 2 ) b) f (a)

A:

Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 7,    s(0)…

A: This question can be solved using the concept of acceleration, velocity and displacement in terms of…

Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A:

Q: 678 COS (x³) dx 3

A:

Q: What is the volume generated by revolving about the x axis the area bounded by the y = 20 +1, y 0, e…

A:

Q: Find the area of the following regions. Graph the function and indicate the region in question: 2)…

A:

Q: 3. Find the indefinite integral. (Use C for the constant of integration.) Ssin(3x) cos(3x) dx

A:

Q: Express the integrand as a rational function and then evaluate the integral. x - 4 dx Jo x² – 5x + 6

A:

Q: Use trigonometric substitution if possible dx x? (9x2 – 4)2

A:

Q: 13 Given that sin(0) = 14' and 0 is in Quadrant II, what is cos(20)? Give an exact answer in the…

A:

Q: Find the third degree Maclaurin polynomial for f(x) = cot-1(x) and use this to approximate…

A:

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A:

Q: 1 1. d.x J #(9 – In² æ)5/2°

A:

Q: Find all functions f so that f'(x) = 7x2 – 7/x. (Use C to represent an arbitrary constant. Remember…

A: We have to take anti derivative to solve  for f(x)

Q: tan-(n) Consider the series 1+n² n=1 Using integral test, show that the series is convergent

A: The summation of tan-1(n) /(1+n2) ,n from 1 to infinity.

Q: x2 dx (x² – 25)5/2

A:

Q: A particle moves along the x-axis with velocity given by v(t) = 3t2 + 12t – 6 for timet > 0. If the…

A:

Q: Find and d²y then simplify whenever possible. dx dx² 1) у %3D 3t5 — 2t x = 4t3 2) y = t-3 – 7 x = t²…

A: As per the request of student 4th and 5th answer has been provided. This question can be solved…

Q: (e* – e-t)°dt

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A:

Q: V. Let f(x) be a differentiable function such that for all x > 1, f(x) • f(x) > 1, f'(x) (-1)" f(n)…

A: Solution is given below:

Q: dy Find da and simplify: y = tan(ev)

A:

Q: 3" e" – 2" n=1

A: The given series,        ∑n=1∞3nen-2n

Q: Q6. The price received from sales in OMR per unit is given by p =x² +x+1. i. the revenue function,…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

Q: Calculus question

A: Detailed explanation is attached.

Q: 25% of the initial intensity I.

A: answer is in next step