When the linear differential equation is multiplied by an integrating factor the equation will become an Lequation.

Q: Given f''(x)=−9sin(3x) and f'(0)=4 and f(0)=−1.   Find f(π/4)=

A:

Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t and x = sec-1t

A: To find: The value of dydx in terms of x and y. Given information: y=csct,x=sec-1t  

Q: Given f''(x)=−9sin(3x) and f'(0)=4 and f(0)=−1.   Find f(π4)=

A: Topic:- application of integration

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = T0 and then find the nth Taylo...

A: The given function 5x; x0=-1

Q: Find all solutions to the equation |5-3x| -2 +x = 2x + 5

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: In this sequence, we will get the succeeding term by multiplying 1/17 to the preceding term. Such ty...

Q: You are given the graph of a function f defined on the indicated Interval. Find the coordinates of t...

A: Absolute Maximum of a Graph: The absolute maximum of a given graph is the point on the entire graph ...

Q: Sketch the graph of y =x-3. S1N

A:

Q: 6 for the Use sigma notation to write the Taylor series about x = function. 1 x+5 k =

A:

Q: Given that the graph of f(x) passes through the point (5, 2) and that the slope of its tangent line ...

A:

Q: Suppose that in a certain area the consumption of electricity has increased at a continuous rate of ...

A: topic- exponential function

Q: The vat shown in the accompanying figure contains water to a depth of xo = 1.6 m. Find the work requ...

A:

Q: At noon, ship A is 140 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing no...

A:

Q: A particle is moving with acceleration a(t) = 6t + 16. its position at time t = 0 is s(0) = 15 and i...

A: Given: a(t)=6t+16             v(0)=1             s(0)=15we know that v(t)=∫a(t)dt                   ...

Q: Solve the following system of equations : 3x - 2y = 18 %3D -x+7y = -44 %3D

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: The given sequence,      17, 179, 1792, 1793,......

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 k + 7 k(k +...

A:

Q: Make a 1 rational equation problem involving 3 rational expressions with binomial term with solution...

A: We have to form a rational equation problem such that it contains 3 rational expressions and each ex...

Q: Find the volume under the paraboloid  z = 4x2 + 4y2,  above the xy-plane, and inside the cylinder  ...

A:

Q: Using the figure shown, find tang (3, -4) 4/3 -3/4 -4/3 3/4

A:

Q: Determine whether the series converges. k 'In(k + 9) The series converges. O The series diverges.

A: Given query is to find series converges or diverges.

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. (...

A:

Q: HX)= 2 X-7 g6x)=-8x-5

A: Note: (f+g) (x) = f(x) + g(x)

Q: Order the following points by their distance to the point (1,1,1) starting with the closest point. (...

A:

Q: If f(t)=2t+sin(t) describes the length of an oscillating spring in m/s, what is the instantaneous ra...

A: Solution is written in below steps.

Q: on 3 of 9 cies empt History Correct. y method to determine whet

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent (-1)*+1 5k

A:

Q: 15 10 -6 -5 -4 -2 12 3 4 5 6 -5 10 -15 Determine the equation of the polynomial, f(2), of minimum de...

A:

Q: JA 1 J 40. f(x) x'+3x + 7

A: Given query is to find the interval where function is increasing and decreasing.

Q: 12 Find the resultant of two forces, one of 72 pounds and the other of 56 pounds, if they act at a ...

A:

Q: A circular plate with radius 6 m is submerged vertically in water as shown. Express the hydrostatic ...

A:

Q: Q2) Show that y = 35 x* – 30 x2 +3 satisfies ( 1- x² )y" – 2xy' + 20y = 0 %3D

A: y =35x4 - 30x2 +3 satisfy (1-x2)y" - 2xy' +20y =0 for this wew find  y" and y' y' = 140x3 - 60x y" =...

Q: One measure of living standards in country A is given by the following formula. L(t) = 5 + 4 e 0.16t...

A: Given: One measure of living standards in country A is given by the following formula.L(t)=5+4e0.16t...

Q: 00 Suppose that anis an infinite series with partial sum SN= 7- 10 16 What are the values of anand a...

A:

Q: n + 3 n- 1

A: Given query is to find the series converges or diverges.

Q: Y and 2 Y if x dx? 七 and yo

A:

Q: Find the equation for a quadratic function that has horizontal intercepts at t = -2 and t = 5 and pa...

A:

Q: Answer the following questions for the function f(x) = - 8x - 36x +240x – 11. a. Find formulas for f...

A:  Given that fx=-8x3-36x2+240x-11To find : f' x,f'' xSolution :a  .fx=-8x3-36x2+240x-11f' x=-24x2-72x...

Q: Write the letter of your answer on the space provided before the number. 1. It is well-defined colle...

A:

Q: Practice: Find the volume of the solids generated by rotating the area bounded with the given functi...

A:

Q: Consider the curve y = V 2x – x² where 0 < x < 2. -

A:

Q: Find the in ter vals on which f ( Increasing and dec reashng iU concareup and concave down are ? and...

A: Given: y=x2-5x+6 To Find:  To find the intervals on which the function is i Increasing and decreasin...

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = xo and then find the nth Taylor...

A:

Q: 7. 4. A firm's marginal cost and revenue functions are given by MC- 12e + 16a + 20 MR = 100 -29 a. R...

A:

Q: 11

A: We will find the derivative. 

Q: Find the exact value of each expression, if it is defined. Express your answer in radians. (If an an...

A: Given query is to find the value of indicated angles.

Q: Use sigma notation to write the Taylor series about = xo for the function. In x; xo k =

A:

Q: Find the maxamin s in flectlon Points and the in ter Vals on which the function inerease,decrease co...

A: follow the solution which is mentioned in step 2.

Q: Find two points where the curve x^2+3xy+y^2=47 crosses the x-axis. The tangent lines to the curve at...

A:

Q: 20. y + x + 4 = 0; (-2, 2) %3D

A: Topic = Derivative