10. Given that p(x) and f(x) are polynomial functions such that p(x) xf(x) + c, determine c if the graph of p(x) is shown (9.r) (0, t) (p, 0)/ (s, 0)

Q: Given the differential equation: y"+3y'- 4y = e42 Propose an appropriate particular solution Yp = (A...

A:

Q: For each problem, find the equation of the secant line that intersects the given points on the funct...

A:

Q: [y = u?-1] 3 Vx2 + 2 u2+1.

A:

Q: Find the value of x if 1 3 2 %3D = 10. O 2 Оз O 4

A:

Q: 1. What is the slope of the tangent line to the curve y = 3x² – 5 at point (-1,-2)? a. -5 b. -6 C.-7...

A:

Q: Find L {(2t" – 3)° } . | O 4(2n)! 2n+1 12(n!) + sn+1 4(2n)! g2n+1 [ 2(n!) 8n+1 O 4(n²)! 12n! 9. sn2+...

A:

Q: 5. Motion. In a straight-line motion, let the velocity be the reciprocal of the acceleration. Find t...

A: Solution is given below:

Q: ax + by + cz + d, = 0 13) Show that the distance between the parallel planes: and ax + by + cz + dz ...

A: here we have to prove the formula of distance between 2 parallel planes.

Q: Find f'(a). 2t + 12 f(t) = t + 9 f'(a) =

A:

Q: Pls help ASAP. Pls show work.

A: This question is related to limits, we will solve it using given information. 

Q: Solve the following DE: (2xy + 3x²) dæ + (2xy+ 4y) dy = 0 O a²y? + x³ + 2x?y? + 4y3 - 2xy = C O a'y?...

A: Solving the given differential equation

Q: x2+6x+8 . f (x) = %3D x²+7x+12

A: Herei s the solution

Q: Suppose an equation of the tangent line to the curve y = f(x) at the point where a = 4 is y = 8x – 3...

A:

Q: The differential equation 2 d y + x dæ3 1(4) - 5y = e is: dx O linear and third-order O non-linear a...

A: Given differential equation is: x3d3ydx3+xdydx2-5y=ex  

Q: Which of the following would be the most appropriate substitution to make to solve the differential ...

A: To determine: The best substitution for the differential equation

Q: The definition of the error function also defines an "error term" E(z, y). 15 Find E(x, y) for the f...

A: Given:    x^3 + y^3 = 15/56 xyz     Point : (8,7,57)

Q: Find the volume of the parallelepiped defined by the vectors й%3 (3, —1,4), ѣ —D (2, 1, —2) and й %3...

A:

Q: x2 dx + y(x – 1)dy = 0 %3D

A: The answer is mentioned in below step

Q: んんoん the following ir NOT メrue ? . If a is in R and a is not egual to 0, メhen 6.1f m and n elements ...

A: To find that which from the given statement is not true.

Q: Given the equation sin x cos I dx If you integrate the given equation, the answer is cos cos + C %3D...

A:

Q: x dy -ydx -Vx²_yz dx =0

A:

Q: Which of the following is a possible solution to y" + 16y = 0 O y = tan(4x) y = cos(2æ) O y = sin x+...

A: SOLUTION IS GIVEN BELOW

Q: Show that the function f(x) = |x - 3| is not differentiable at 3. We have x- 3 if x 2 3 f(x) = |x - ...

A:

Q: Suppose a metal ball is heated in an oven at 195 °C for a very long time. After, it was removed and ...

A: Let the temperature of metal ball at time t be:  y(t) Surrounding temperature is:  A = 25°C y(0)=195...

Q: Given the differential equation, ddy dy 2y = e2 sin(2x) cos(2x), the proposed dz2 dz particular solu...

A: Here we have given particular solution.so we use undermined cofficient to determined the value of A.

Q: Find the roots of 3√1

A: Find the roots of 13  

Q: Find the values of x such that the vectors (3, 2, x) and (2x, 4, x) are orthogonal.

A:

Q: P2.B: Evaluate the integral: (x+1)/2 J (x – 1)5/2

A: The given integral is (x+1)1/2 /(x-1)5/2.

Q: xdy ydx = 0; y (1) = 2 %3D Which of the following is a solution to Oy3D+ 1 + In(2) O In(y) = x +2 Oy...

A:

Q: Length of x-interval. In most cases the solution of an initial value problem (1) exists in an.x-inte...

A: Solve it for finding the best possible a and compare it with actual solution. 

Q: 3 dy 1+a da The differential equation dx? O second order and ordinary O linear and ordinary O non-li...

A:

Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

A:

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

A:

Q: Express the vector (4, 7, -2) as a combination of the standard basis vectors i = (1, 0, 0), 3 = (0, ...

A:

Q: The voltage drop across an uncharged capacitor with a capacitance of 106 farads is O 10 O 106 O 106 ...

A: We have given uncharged capacitance  with capacitance  C=10-6 F Using Formula  Q=CV As capacitor is ...

Q: 3 sin (t) cos“ (t)dt

A:

Q: 2dt (t – 3)vt2 – 6t +5

A:

Q: 3. The head of a fish measures 22 cm long. The tail is as long as the head and half the body. The bo...

A:

Q: For the differential equation 2xdy + (4y - xy) dx the substitution z= -2 converts it to which of the...

A:

Q: To make a potato salad, a chef cooked some unpeeled potatoes in boiling water at 100°C. Once the pot...

A: The correct answer is option (A) i.e. t = 11.4 minutes

Q: earthquakes have Richter scale readings )anda - log at E,- 1000E, show that M,-M, =2 w that M-le A c...

A: In this question we will use basic concepts of calculus i.e concepts of logarithm. We will use prope...

Q: V150 =O (Type an exact answer, using radicals as needed.) Simplify by factoring. %3D V150

A: As we know that; The radical rule: (1). a2=a ; a≥0 (2). ab=ab ; a≥0, b≥0 Given: 150

Q: Given the differential equation 16y(4) + y(3) – 2y" + y = 0, how many arbitrary constants are expect...

A:

Q: Find the inverse laplace transform of: F (s) = 6. es.s(n+1)

A: Find the inverse laplace transform of Fs=6essn+1  

Q: 10. Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element o...

A:

Q: Given the following graph, what is the corresponding function (t > 0)?

A: From the given graph ,what is corresponding function 

Q: = 3(2x + y)² + 1 2x + Y = y=1 = vY

A:

Q: Find- cotX cosx dx

A:

Q: Find the domain of the vector function 7(t) = (, V1-t, 1 1 – t, t t +1 A. (-0, –1) U (-1,1) В. (1, +...

A:

Q: "dog 1) ]* dx 8. x(1+log²x) 2

A: