Q5: Find the solution of the following D.Es: 1- x + 5y = x7 at x = +5y 2- y" + 4y + 2y = 13e³x 2, y = 1

Q: (a) (b) Evaluate S 9xsin (2-3x)XAMIMATION dx. *1*: FIDENTIA Evaluate 1 9x² +6x+ AL 123 CALCULU by…

A:

Q: Q1/ A- Represent the following data in a graph using the bar graph method. temperature [ today] 27…

A:

Q: If y, and Y2 are linearly independent solutions of y" + 3y + (5 + t)y = 0 and if W(y₁, y2)(1) = 3,…

A:

Q: Consider the differential equation x2y" + xy' + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that…

A: First change into linear ode with constant coefficient then solve

Q: Evaluate the integral or state that it diverges.

A: NOTE: Refresh your page if you can't see any equations. . substitute  take derivative…

Q: Let à = (4, — 5, — 4) and 6 = (2, — 5, 0). Find a - b

A: Let a =< a1,a2, a3 > b = < b1, b2, b3>  Then,  a.b = a1b1 + a2b2 a3b3

Q: H.W: replace the following polar equations by equivalent Cartesiana equation, then describe or…

A:

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A:

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A:

Q: JO dt (Type exact answers.) The total amount of water that will drain from the pool is (Simplify…

A:

Q: The definite integral is equal to Select one: lò xác thỉ xác Of xdx + ² xdx Of xdx + xdx Of xdx -f²…

A: We have to find correct option of given integration by dividing limits.

Q: Find T5(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x)= = Using the…

A:

Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: O True O False 6 -6 edx

A:

Q: Sketch the graph of a function that satisfies the following conditions

A: Given

Q: Use the table of Laplace transforms to find the Laplace transforms of the following cos² 2t sint cos…

A: Topic:- Laplace transform

Q: Find the equation of tangent line for the curve f(x)=e³x at coordinate (0,1).

A: Given: fx=e3x

Q: / Find Lim X. tan' 2 X X-100

A:

Q: 3x²³-2x² + 3kx + 18 by x- 6 to be equal to zero, k must be equal to.

A: Use division

Q: z(t) = -2-t Find a plane through the point (5,6,-3) and orthogonal to the line y(t) = 8 - 8t z(t) =…

A: Given: 5,6,-3Orthogonal to the line xt=-2-t, y(t)=8-8t, zt=2+2t

Q: Let a = (-4, 5, -2) and 6=(-1,0, 4). Find à x b.

A:

Q: : Evaluate the integral: √2 3y 8-x²-y² 1. JIJ 00x²+3y² dzdxdy

A:

Q: Increasing global temperatures raise sea levels by thermal expansion and the melting of polar ice.…

A: Given L(x)=0.02x3-0.07x2+8x where x is the number of decades since 2000.

Q: Sketch a graph of the function f(x) = 3 cos 6 5 4 3 2 1 -8п -7п -бп -5п -4п -3л -2л -π -1 -2 -3 -4…

A: This question is based on graphing a function from its principal function.

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 3T 2 sin(2x) sin(x) = = cos(2x) =…

A: We have to solve above question and find sin cos and tan value

Q: Find the solution of the initial value problem y" + 36y = 0, y() = 3, y' (-) = -6 18. Sketch the…

A: See the details solution in below

Q: Identify the location and value of any relative maxima or minima of the function. Ignore points on…

A: We have to find relative maxima and minima.

Q: Let a = (5, 5, - 3) and b = ( – 5, 3, 0). Find the projection of b onto a. proj¡ b = <

A:

Q: A furniture store sells 96 coffee tables per month at $1100 each. The owners estimate that for each…

A:

Q: Find a plane containing the point (-1,-7,-8) and the line of intersection of the plan 6x + 4y + 4z =…

A:

Q: Let a = -27 +53 + 4k. Find a.

A:

Q: The value of the definite integral is Select one: 0 0 O 2/11 O-1/11 O none of the others O 1/11…

A: We have to solve above integral

Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A:

Q: 1 2 1 Q2. If A = 200 31 2 find A¹.

A:

Q: 5. r² = 1 2

A: According to the question, we can answer only first question and rest can be reposted.

Q: Use the matrices below to perform matrix multiplication. B If the operation is undefined, enter NA.…

A: Using Matrix operation

Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

A: This question is based on conversion of polar to rectangular form.

Q: Solve the triangle, if possible. a = 26.38 km, b= 21.64 km, c = 18.31 km Select the correct choice…

A: Given problem:- Solve the triangle, if possible.   a = 26.38km , b = 21.64km , c = 18.31km

Q: Let ā= and b = . Find 3a + 3b.

A: Given:a→=-3,-2,3 and b→=-3,5,2We need to find 3a→+3b→.

Q: Let lim f(x)=9. Use the limit rules to find the following limit. X-8 lim √f(x) X-8

A: Given, limx→8f(x)=9

Q: Q1/ A- Represent the following data in a graph using the bar graph method. temperature today…

A: the graph is given below on x axis day represent  on y axis temperature represent   x axis - scale -…

Q: he time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  take derivative

Q: The function f(x) = 3x ln(1 + x) is represented as a power series f(x) = Σ cnan. n=0 Find the…

A:

Q: True or False: We have 8 ["v 0 √√xdx 12.

A: The given integral is: I=∫08x3dx   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A: let"s find point of intersection  1+ cos θ = 3 cos θ  3 cos θ  - cos θ  = 1  2 cos θ = 1 cos θ = 1/2…

Q: Evaluate the following definite integral. 1 18 18 -9 Find the partial fraction decomposition of the…

A:

Q: A) Verify that y = C₁е¯x + c₂e5x is a solution of the DE: y" - 4y' - 5y = 0. B) Find a solution of…

A:

Q: Evaluate the following integral. R|N 2 L K|N - 6x sin x dx e *** 2 S (Type an exact answer. Use…

A:

Q: Use integration to find the area between the functions y = x² and y = 3x + 4. Show your work. -4 YA…

A:

Q: Find all values of x in the interval [0, 2(pi)] that satisfy the equation.  14 + 7 cos(2x) = 21…

A:

Q: Given the curve of y=6-x² and y=x+4. Sketch the graph for -3<x<3. State the intersection points…

A: