4s + 12 s2 + 8s + 10 4e -4t – 4te -4t 4e4 + 4te4t Option 3 Option 2 -4t 4e + 4te¬4t

Q: sin 2t sin 5t 20 s4 + 58s2 + 441 O Option 3 None of the choices 1 10 s2 + 32 s2 + 72 s4 – 58s2 + 441

A:

Q: ²+² +1) d + a (a – 2y) dy = 0 %3D

A: Given problem:- Find the solution of the given differential equation:  (x² + y² + 1) dx + x (x - 2y)…

Q: The following question is about the rational function (x + 1)(x – 2) (x + 2)(x - 9) r(x) The…

A:

Q: S 23x26 + 35 + x2-16 dx x-4

A:

Q: A supermarket sells two brands of coffee: brand A at $p per pound and brand B at $q per pound. The…

A: Revenue = price per unit × number of units.

Q: Convert the angle to a decimal in degrees. 78°24'17" 78°24'17" =° (Do not round until the final…

A: We have to convert an angle of 78°24'17" in degrees.    Before converting, let us see first two…

Q: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE.) 10x3…

A:

Q: evn+2 2+3 n=1

A:

Q: Given the slope field below, which function describes the given graph. A. y' = x? + y +1 B. y' = x*…

A:

Q: Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to .…

A: Given  Marginal cost = $2.50

Q: 9. Compute the distance between the point (-2, 8, 1) and the line of intersection between the two…

A:

Q: Acos'e -3=-4cos0

A:

Q: Write the Maclaurin series for f(x) = 2x²e-8x as E Cnx". n=0 Find the first six coefficients. Co=…

A:

Q: 1 (s+1)(s2 +1) + cos t - sin t) + cos t – sin t) O Option 4 O Option 2 5(e-cost + sin t) 5(-e+cos t…

A: L-1{ 1/(s2 +1)(s+1)} expand it  L-1 {-s/2(s2+1) + 1/2(s2 +1) + 1/2(s+1)} L-1 s/(s2+1) = cos(t) L-1…

Q: Question 1 (a) Given the function h(x) = sin|x/3|. (i) Sketch the graph of the function. (ii)…

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: dr 21. (1+x²)/16 – (tan-l r)² dx e2x+2+2 22. 8. dx x2 - 6x + 25 23. 6. 24. dr J (2 - r)V - 4x +3 dr…

A:

Q: 2x e dx 4е2х —8е" +5 -

A: The integration of the integral is  e2x/(4e2x-8ex+5).

Q: 23л Find the exact value of sin 12 23л State the exact value of csc 12

A:

Q: Solve the system of equations (only real solutions) by the elimination method. Check your solutions.…

A:

Q: 5x - 4 and the a-axis over the interval 6 Find the net signed area between the graph of the function…

A:

Q: A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let…

A:

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A:

Q: IV. Problem Solving: A. Write the expression as a single Integral 1. '= xp(x)fJ + *P(x)f = xp(x)f f…

A: As per policy only first three questions are answered. Please refer to the image below

Q: The integral (4 – y²)²dy represents the volume of a solid. Sketch the region, rectangular element,…

A: Here, the given integral is: ∫02π(4-y2)2dy which is of the form  π(outer radius)2-(inner…

Q: E2"x" 4η n 7. it. n=0

A: The objective is to find interval of convergence and radius of convergence.

Q: S 23x* + 5 +* x2-16 dx X-4

A: We will use simple Integration rules to solve this question.

Q: answer

A:

Q: (c) Let f(x) = In(x + 8). (i) Find the domain and range of the function. (ii) Find the inverse of…

A: Let's find.

Q: x dx V3-2x-x

A:

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Given:-the region bounded by y=sinx, x=0 and y=1revolving about y=1using washer/disk…

Q: 3. Php 120,000 is deposited in a savings bank that earns 9% simple interest per year. What will be…

A: given principal amount (P)=php 120,000 interest R=9% T=5years sum of amount after five year? formula…

Q: aluate the function. Give the exact value. cos tan(V3) -1 cos(arctan( V3% = 0.5

A: Given query is to find the value of the expression.

Q: Evaluate sin (44º) + cos (29º) using differentials. Refer to special triangles.

A:

Q: Use the method of Lagrange multipliers to maximize the function f(x,y,z)=4x+2y+z subject to the…

A: Let's find.

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A: This question can be solved using the concept of unit tangent vector and length of vector curve.

Q: Find the exact value of the expression. tan sin Select the correct choice and fill in any answer…

A: We have to find the value of given trigonometric expression.

Q: 3. Find the curvature K of the space curve r(t) = (cos³ t)i + (sin³ t)j. (Note: Since you aren't…

A:

Q: 1/3 Find the minimum and maximum values of the function y = (t – 3t2)" on the interval [-1,3] by…

A:

Q: Triangle BAC is a 30°°-60°°-90°° right triangle. 600 30° A C If BC = 15, what is the measure of AC?…

A:

Q: _4. What is the area of the enclosed regions in problem number 3? A. 10 sq. units B. 12 sq. units C.…

A:

Q: dz az and ду Suppose z is a function of x and y, and tan Vy? + x2 = ze6y. Solve for

A:

Q: (t – 1)* 24 24 12 1 24 24 12 1 83 83 Option 1 Option 2 24 – 24s – 12s² + 4s³ + sª 24 – 24s + 12s² –…

A: The given function is: ft=t-14   Use the Laplace transform identity. Ltn=n!sn+1

Q: 2) lim- x) Tanx

A: The given limit is              limx→π2π2-xTanx we know,     Tanx= sinxcosx

Q: dx Vx²-4x-7 7. dy y2-8y+5

A:

Q: Use the Ratio Test to determine whether the series is convergent or divergent. (-9)" n2 n- 1…

A:

Q: Q-2. Determine the values of x for which the function J (X) =$in Xcan be replaced by the Taylor 3…

A: We have to find the value of x as per given conditions.

Q: Question 3 (a) Find the first and second derivative of the following function, in which a and b are…

A:

Q: Find the arclength of r = (1+sin(2θ))^(1/2) for 0 <= θ <= π

A:

Q: Company data suggest that the total cost of a certain flight is approximately C(x) = 120x – 0.38x +…

A: This is marginal cost finding question.  We can find the marginal cost by differentiating the…