.Find a reduction formula for ea* sin" x dx. Hence evaluate e* sin x dx. 3

Q: An android phone and a bluetooth speaker together cost Php6500.00 . The phone costs Php2000.00 more ...

A: We have to find the cost of the phone. Let the cost of the phone be x and let the cost of the blueto...

Q: A. Graph the curve B. Find the x-axis intersection points (Limits of integration) C. Find the area o...

A: A. Make a table to list the points on the graph.

Q: Show that the IVP x" = -6x(x')3, x(-1) = -1, x'(-1) 1/3, has a unique solution x and find the maxima...

A: Introduction: An initial value problem is a differential equation whose solution is the curve passin...

Q: Part 4. Prove the following mathematical statements, Let n be any integer. a. If n – 1 is odd, then ...

A: The given problem is to prove the given following statements. With given n is any integer.

Q: 2. Given the in tercepts:(0,-15) and (5,0)

A: The given points represent that the line cuts 15 units intercepts on the negative axis and 5 units i...

Q: f(t) = { -1<t < 0 – a<t<0 4 0<t<n

A:  

Q: 0 minutes to 2 hours

A: Given, 60 minutes to 2 hours

Q: Sove the following initial value problems (a) +By-9y-0 (0)-1 (b) V+v-2y-3t (0)-0 (0) = 1

A:

Q: Provide a negation for each statement. The negations should be in simplest form, i.e., there are no ...

A: We have to provide a negation for each statement in simplest form, i.e., there are no negations befo...

Q: Two cars started at 8:00 AM from Agoo each heading for Baguio. One car’s average speed is 10 kph mor...

A: let the speed of one car is x kph according to question , other car's speed is 10 kph more  implies,...

Q: (b) +V-2y-3t y(0) 0 v(0) = 1

A:

Q: 7. You must explain your reasoning. Consider the following radial vector field F: (a) Is Fa conserva...

A: The complete solutions are given below

Q: Let e be a positive real number. Prove or disprove that n E N(n²+e).

A:

Q: 2x + 3)y’ = y + (2x + 3)1/2

A: Given differential equation can be reduced in linear differential equation 

Q: [3 3 8 20, Mat C = 11 11 30 [-2 1 6 4 Mat B = |5 l10 7 11. -2 5 Find: DET(B/C)

A:

Q: +y-y K0)-1

A: This is a problem of IVP.

Q: 3. Recall that a Fourier series will converge quickly if the periodic extension of the function is c...

A:

Q: Find the integration: J* 1+sin X 4 dX Cos 2X

A: Introduction: Suppose, fx is a continuous function on the interval a,b. There is another differentia...

Q: ed for 125 machine-parts? (b) What is the greatest er of the machine-parts that could be made with o...

A:

Q: 1. It took Jade seven-fourths of an hour to complete his math homework on Tuesday, and five-sixths o...

A: Let ab and cd be two fractions. Then, it can be written that ab+cd=a×d+b×cb×d.

Q: Symbolize the following proposition. Give your own example of a compound proposition containing exac...

A: (a) We are asked to give an example of a compound proposition that contains exactly three propositio...

Q: A right-angled triangle has a base of 10 cm and a hypotenuse of 12 cm. Put the steps for constructin...

A: Given: We have to put the steps in correct order.

Q: Use integrating factors to solve (x² + y² + x)dx + xydy = 0.

A:

Q: A relation R on a set A is called irreflexive iff (Vx E A)((x, x) ¢ R). It is called asymmetric iff ...

A:

Q: Mark each statement True or False. Justify each answer. (d) Between any two unequal rational numbers...

A:

Q: what is the domain of the function f(×)=(×+1) ?

A: If y=f(x), then the variable x is called the input of the function, and y is called the output of th...

Q: 4. Find a quadratic polynomial with roots -1 and 2. A. a2 a + 2-0 B. a2- a 2-0 C. a2 + a 2 0 D. a2 +...

A: We have to find the quadratic polynomial with roots -1 and 2

Q: Multiplication Inverse Let z = (x, y). -y Show that z-1 2' 2 2 х —у x +y X -

A:

Q: ne general form of the first and the : = 0 of the following differential

A:

Q: 2. Use the bisection method to solve the equation x + cos x = 0. Show an appropriate graph. a. b. It...

A: In part (a) we plot two graphs one of y=x and another of y=cos(x) and with the help of the graphs we...

Q: Find the present value of the following ordinary deferred annuity. Periodic Made Payment Period Peri...

A:

Q: +y-9y-0 (0)-1

A: We solve the IVP  y"+8y'-9y=0.....(1) y(0)=1 and y'(0)=0

Q: Use the following information for questions 7-11. Suppose you sell hand-carved Covid masks. Requests...

A: The complete solutions are hoben below  

Q: (b) +v-2y-3t w(0)-0 v10) - 1

A:

Q: Levi consumes an energy drink that contains caffeine. After consuming the energy drink, the amount o...

A: Given,  10 hour decay factor = 0.2428

Q: 2. Problem: Use the encoding formula y = x + 15 (mod 26 1. Encode: D A W N 2. Find the decoding form...

A: This is a problem of cryptography, number theory, counting, finite math.

Q: Determine of the equation below satisfies Cauchy-Riemann's Equation. f(z) = cos?(z),where z = x + yi

A:

Q: 1. Prove that a bounded divergent sequence has two subsequences converging to dif- ferent limits.

A:

Q: 13 Find NK. 14 Find mMK. Use the circle below for questions 13-16. 15 15 Find JK. 16. Find mJPK. © G...

A:

Q: If one Canadian dollar is equivalent to US$0.8150, how much do you need in Canadian funds to buy US$...

A: It is given that one Canadian dollar is equivalent to US$0.8150. We have to find the amount required...

Q: For the function f(x) = x² +3x + 1 (a) Construct the divided difference table for the points xo=1, x...

A: Introduction: For the given set of data points x0,y0,x1,y1,...,xn,yn, the divide difference table is...

Q: Consider the nxn matrix with entries Aij = 1/(i+2j-1), set x = [1, ..., 1]', and b = Ax. You act as ...

A:

Q: Use deductive reasoning to show that the following procedure always produces a number 5. Procedure:...

A: let the number be x step-1 add 4 to the number ⇒x+4 step-2 multiply the sum by 3 ⇒3x+4

Q: Use the Intermediate Value Theorem to show that 2.x – 3 if – 3 0 has a zero on the interval [-2, ln ...

A:

Q: Eill in the blanks to complete the formal. proot of the following argument: of

A: This is a problem of Logic.

Q: Show that x2 + 3 and x2 + x + 1 over Q have same splitting field.

A:

Q: 2. The differential equation x2(x- 2) y" + 3(x – 2)y' + y = 0, has the singular points at x = 0 and ...

A:

Q: 7. Suppose I've defined a function f : N → N and I want to show that f(n) < 10n for all n2 5. To do ...

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: 4. e2t+a(2 cos at – 3 cosh 2at) -

A: It is given that the function ft=e2t+a2cosat-3cosh2at. We have to find the Laplace transform of ft w...

Q: Find the general solution of y’ + (1/3)y = exy4

A: We have to find the general solution of the differential equation y'+13y=exy4 .