Given the following information of a triangle, match the missing side or angle with its value. a = 41 cm B = 54° • C = 37° angle A а. 33.17 side b b. 24.68 side c c. 89

Q: Consider a nonhomogeneous differential equation y" + 4y = -12x + 10e-*. (a) Verify that yp = -3x +…

A:

Q: Do not use a calculator in this question. 3 V3 6+2v3 5- V3 p+qV3 6. find the CS CamScanner value of…

A: This question is based on similar parallelogram properties and rationalisation.

Q: 6. 24 4 3) 0 1 %3D 0.

A:

Q: 2. ASSume that 9 (x)= 4X-1 of sOme unction gX) the intervaS on which the or.ginal function, 9X), is…

A: Here, the given that the function g(x) has the derivative: g'(x)=4x-1x23

Q: Write the following system of two second-order ODES as a system of four first-order ODES. Please…

A: Let's find.

Q: 4. Fill in the blank with "all", "no", or "some" to make the following statements true. Note that…

A: Explanation of the answer is as follows

Q: 00 n=1 5n_1

A:

Q: Use the initiator and generator shown to produce the next two stages and attach your answer.…

A: In order to proceed to next two stages we need to get the logic behind the initiator and generator.

Q: 1. Find the area between y=x and y=x' from r%3-1 to x%-D1.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Solve the inequality. (Round your answers to two decimal places. Enter your answer using interval…

A: Given query is to find the solution of the inequality.

Q: f(x) = 3 log(x) f(x) = 3 log(x) 1 103 1 102 1 10 1 10 102 y y 4 40 60 80 100 20 40 60 80 -2 -4 -4 y…

A: Given query is to sketch the graph.

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A:

Q: Under certain​ conditions, the number of bacteria present in a colony is approximated by…

A: Given, f(t) is the number of bacteria present at time t in minutes. f(t)=(A0)e0.022t A0= 2100000…

Q: Activity 1.3.2. Consider the function f whose formula is f(x) = 3 – 2x. b. Compute the average rate…

A:

Q: Two lines with slopes m1= 4/3 and m2= -7/2 intersect at (3,2). Determine the equations of the two…

A: Determines the equation of two lines with slope m1and m2..

Q: would need some help to find the Taylor series for f(x) centered at a = 9 for f(x) = 1/√x, please?

A: We have to find the Taylor series at centered a=9

Q: Sketch the region whose area is given by the definite integral. хр y3 Use a geometric formula to…

A: Given query is to find the value of the integral

Q: -13x - 6 9)

A:

Q: Solve 2logs(Vx)- log;(6x– 1)=0.

A:

Q: Determine whether the improper integral converges or diverges, and if it converges, find its value.…

A:

Q: Solve the given differential equation. All solutions should be found. (9ys + 2x'y) dx – (8xy"+x*) dy…

A:

Q: A ball is dropped from the top of a building that is 15 m high. The position of the ball after t…

A:

Q: [xcos 4xcos 2.xdx

A:

Q: 5. Figure below shows triangle AOC inscribed in the region cut from the parabola y=x by the line…

A:

Q: 3. 9x -dx (x² +7)

A:

Q: 2) The rate of change of an electrical current, i, in a microprocessor circuit is given by di 0.4t –…

A:

Q: x3 +5 dx Consider Approximate this by using four subintervals and: A left endpoints B right…

A: To integrate f(x)=x3+5x on the interval [1,5] .

Q: Q-3: [5 marks] Use the definition of the derivative to find the derivative of the function f(x)= /1…

A: Given

Q: QI Evaluate 2 2 || 2y2 sin(xy) dydx 0 x

A:

Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) (x) =…

A:

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. a…

A:

Q: buff'g'sinay olxly

A: To solve the following integral

Q: 1 |sin xdx ーπ 3 sin xdx 5 S sin xdx

A:

Q: 1. (20) Solve IVP of the harmonic oscillator: dy dy dt2 + 4- + 6y = e-2", y (0) = 0, y' (0) = 1. dt

A:

Q: -3y- 4x+2y-z=150 I+y-z=-100 -3y-y+z=600

A:

Q: Question

A: We will find the time taken.

Q: Solve the inequality. (Enter your answer using interval notation.) 4x2 - 16x 2 0 Graph the solution…

A:

Q: Evaluate the following items below. Write your answer on a separate sheet of paper. 4 1. Find the…

A:

Q: 25 Jr'sin xdx 27 (x'sin xdx 27 29 |x' sin xdx

A:

Q: . What is the outer function? 2. Find dy/du. 3. What is the inner function? 4. Find the derivative…

A: see below the answer and calculation

Q: 1. Find the area between y=x and y=x' from x=-1 to x%-1.

A: Since mutliple questions are asked, I am answering the first question.

Q: sin 8 What is the exact value of Show your work for partial credit.

A: Find the value of sin(7pi/8).

Q: 2. Test continuity at x = 0 and x = 3 for the function (3 + 2x; - 3 3

A:

Q: Compute and find the exact sum of the following series. 4-5"-2 10. n=3 6"

A: Solving

Q: Find the gradient vector field (F(x, y, z)) of f(z, y, z) = e®2z + $y + 2= F(1, y, z) =

A:

Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (7, 4, 33)…

A: Given,  z=x2-y2, (7,4,33)

Q: f (x,y) = x^2y - 2x^2 -4y^2 +66. Find all critical points of f. For each critical point, determine…

A:

Q: Find the most general antiderivative or indefinite integral. dt

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Given query is to find inflection point and interval where concave up and down.