3 2 | z=1 y=1 -2(x + 1)y dy dz بائية

Q: 19. Find the solution of the given initial value problem. y’’-2y’+5y=0,     y(π/2)=0, y’(π/2)=2…

A:

Q: Find the first three nonzero terms of the Maclaurin expansion of the given function. f(x) = 10 1-x…

A:

Q: Consider the following differential equation. ydx - 5(x + y7) dy = 0 dx + P(y)x= f(y). Find the…

A: Given problem:- Consider the following differential equation. Solve for general solution y dx-5(x+y7…

Q: 4. Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Differentiate with respect to x

Q: FOR NUMBERS 6-7 Tangent and normal lines are drawn to the curve y = x3 at x = 2, 6. What is the…

A:

Q: 1.) The height above the ground at which a ball is released at an initial height of 122.5m is given…

A:

Q: P7 Answer 1 2 3

A:

Q: What is the minimum number of x-intercepts that a polynomial of degree 14 can have? Explain. The…

A:

Q: Find the angle between the vectors and .

A: Given vectors a=-2i-j+3k b=2i+j-3k

Q: (A) Graph y = 1.2x-2.7 in a rectangular coordinate system. (B) Find the x- and y-intercepts…

A: Here we have to plot the graph.

Q: Let f(x)=0.5x²-x-7. Solve each equation graphically to two decimal places. (A) f(x) = 4 (B) f(x) =…

A:

Q: The graph shows the velocity v(t) of an object. V(t) 4 3 2 1 5 V(t) 0 1 2 3 4 7 8 9 10 t Calculate…

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: See the details solution in below

Q: D D ▷ TEXA fex) (2k- x 1 Fx k evaluate lim Can you choose Parameter k proper value for k x21 x < 1 a…

A:

Q: For the following polynomial function, find (A) the degree of the polynomial, (B) all x-intercepts,…

A: Given :f(x)=x2-5x+6

Q: The graph to the right is a graph of a polynomial function. (A) What is the minimum degree of a…

A: The objective of the question is determine minimum degree of the given graph of the polynomial and…

Q: f(x,y) = x² + 6xy − 3y² + 2x - 2y + 1433, g(x, y) = sin(x²y + 2x - 5),

A:

Q: R: y = x² and x² = 18 – y

A:

Q: Suppose a product's revenue function is given by R(q)=−6q2+300qR(q)=-6q2+300q, where R(q)R(q) is in…

A: Let's find numeric value of the marginal revenue.

Q: 4- For f(x) = 4x¹/3 + x4/3, determine the intervals where the function is increasing.

A: Given :f(x)=4x13+x43

Q: find: Seos nit dt findo S sinnat at

A:

Q: (2x-2) dx sinx dx 2. 3. √xdx 4. J² (²2x²+4x-2) dx 5. So (cosx+tanx)dx 1/1/4 6. Jo ¹/2_dx =dx √1-x²

A: Solve by integration

Q: 1. Given that a right triangle has sin 0 = 0.5. Find another two sides of length if hypotenuse…

A:

Q: Use the given information to find f '(9). f(x) = 3g(x) + h(x) g(9) = -4 and g'(9) = -1 h(9) = -5 and…

A: Given: fx=3gx+hx.We need to find f'9.

Q: a car move with an initial velocity of * 50 m/s to the right, determine its position when t=15 s, if…

A: This is a problem related to newton's law of motion. Based on the general formula and concept we…

Q: :A. Find the determonant of the matrix A 1 2 1 -2 -1 4 -1 -2 2 1 3 2 -2 1 2 -3

A: The given matrix is  A=1 2 1 -2    -1 -2 -1 4     2 1 3 2   -2 1 2 -3.

Q: 16 + 3 the following matrices festSIAM #71 47 purन

A: Topic = Matrix

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A: This is a problem related to maxima and minima of the function. Based on the general formula and…

Q: Solve the given differential equations: dy x3 1. = dx 2+y² 2. y' = y (0) = -2 y+x²y 3. 3x²y dx (x³…

A:

Q: Sketch two periods of the graph of the function p(x) = tan (x period, and asymptotes. Enter the…

A: In given graph period of function is pi. Stretching factor is 1

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A: Given problem:- You want to build a 1100 square foot rectangular infinity pool. Three of the sides…

Q: A) √2 [² /4t² + 1dt

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the limit of the vector-valued function if it exists. lim(e² i + sin(t)j + e¯¹²k) O does not…

A:

Q: 10. lim, [(2)(x²+x-5)] A. -6 B. 0 C. -2 5 D. 4

A:

Q: Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data…

A: Here we will calculate the linear regression  model,

Q: Evaluate f sin √r dr

A: Topic = Integration

Q: Suppose s(t) = 3t+ 6 on the interval [1, 4]. What is the displacement on [1, 4]? 06 08 09 O 18

A: topic-displacement

Q: 2 ft²cos nлtdt

A:

Q: Question 5 Use Pascal's triangle to expand your binomial expression. A (1 + x)³ B (1-x)³ C (1 + x)4…

A:

Q: 12 14 16 18 - 3 9 27 81 ume the first term is a₁ 3 2 20 243 --}

A:

Q: y' = X y+x²y , y(0) = -2

A: Given differential equation: y'=xy+x2y, y0=-2To Find: solution of the differential equation

Q: Suppose an object moves along a linear path according to the velocity function v(t) = 3x² - 2x,…

A:

Q: The population of a slowly growing bacterial colony after tt hours is given by…

A:

Q: A) u-substitution with u = 7x³ +5 B) u-substitution with u = 3x² u-substitution with u = 3x² dx…

A: Integration

Q: evalutate the integral from 0 to pi/6 sin^3(x)/cos(x) dx

A:

Q: Q5: Use the method of variation of parameters to find the general solution to the following…

A:

Q: An area is bounded by x^2 = 8y, y = 3, and the y-axis. This area is located in the first quadrant.…

A: An area is bounded by x2=8y, y=3, and the y‐axis. This area is located in the first quadrant.To…

Q: Write an equation for a rational function with following properties. Assume the multiplicity of each…

A: Vertical Asymptotes:- The  point where the denominator of a rational function becomes…

Q: Direction: Prove by mathematical induction that k3²(+1)² for all n E N. Use the definition of the…

A:

Q: 1.Use taylor series method to get solution to dy =x+2y-xy, y(0) = 1 dx 1) Find taylor expansion (at…

A: Let's solve.