B: Fit a second order polynomials to the data in the following: X Y 1 4 3 8 4 10 5 12 6 13 10 69 8 93 10 8

Q: Find an equation of the plane orthogonal to the line which passes through the point (-10, -8, 9).…

A:

Q: Given that f(x) = x² - 9x and g(x) = x -9, find: a) (fog)(3)- b) (gof)(3)=

A:

Q: Solve the given linear differential equation.Use C as the constant of integration in your solution.…

A:

Q: The price-demand equation for hamburgers at a fast food restaurant is given by the equation below.…

A:

Q: variable

A:

Q: Calculate the limits A) lim 818 2x²-x² +1 3 8x³+x²³+x-2 B) lim 8118 3x² + x-1 4x-7

A: Here are the solution:

Q: the

A:

Q: Find an equation of the plane passing through the points (-1,2,0), (2, 3, 6), and (-1, 0, 2). Use…

A: Equation of plane passes through three point using vector operations

Q: Let f(x,y,z) = x²-tany² 2xyz Solve for fzxy.

A: Given :fx,y,z=x2-tany22xyz

Q: Given matrices:

A: Given data:- A=42170-71-53B=12-153345-7C=1-24

Q: Evaluate ∫ (3x2 − 20x )dx .

A: Given, ∫3x2-20xdx

Q: Find the partial fractions and solve for the constants: x+2 dx x²+x S A= -1, B= 2, C = -1 A=2, B =…

A:

Q: Find a value of h for which y 3.0 2.5 2.0 1.5 1.0- 0.5 0.5 ƒ(2 + h) − ƒ(2) h 1.0 1.5 = 0. f(x) 2.0…

A:

Q: a. Use the definition mtan lim x→a f(x)= b. Determine an equation of the tangent line at P. c. Plot…

A:

Q: ind an equation of the plane passing through the points (-1,2,0), (2, 3, 6), and (-1, 0, 2). Use…

A:

Q: Find the upper bound for the error in estimating  6 3 1 x − 2  dx  using Simpson's rule with  n =…

A: Formulas used : 1x = x-1ddxxm =m(x)m-1

Q: 9. x², Let f(x)=sin(x), x < 0 0≤x<π/2 x-π/2, x≥π/2 (a) Graph f. Your graph should be accurate with…

A: See this solution in below.

Q: B: Evaluate the following: 2- 6r (5.66) 5r (0.66)

A: Γ(5.66)=67.905 Γ(0.66)=1.366

Q: Match the graph of f with the correct sign chart. Choose the correct sign chart below. OA. f(x) +…

A: Topic- functions we are given graph of a function ,we need to determine the size chart of f'(x)…

Q: evaluate the integral

A: Answer and explanation is given below..

Q: Which of the following DE has no degree? A y (3y"-x) ¹1/2-2xycos (x²) =0 Bye-In(y) = 0 y³sin (y"-x)+…

A:

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the…

A: A detailed solution is given below.

Q: Let ?(?)=4?2−4?−4.f(x)=4x2−4x−4. The secant line through (2,?(2))(2,f(2)) and…

A: To find out the slope of the secant line and also slope of the tangent line at the values given.

Q: Find the profit function if cost and revenue are given by C(x) = 173 +1.5x and R(x)=7x-0.02x². The…

A: Given; C(x)=173+1.5x R(x)=7x-0.02x2.

Q: fxsinxdx

A: Given :∫xsinxdx

Q: Consider the quadratic equation (2x-7)(x-6) = 18. When written in standard form, which of the…

A:

Q: Evaluate the integrals S 1 x2-7x+10 dx

A: As per the company rules we are supposed to answer only the first question and rest other can be…

Q: show that the lim DNE. lim (x, y)→(0,1) In (x4 + 2y² 1) e 2x² + y² - 2

A: Please see the below picture for detailed solution.

Q: d) f(x,y)=x+y+x³y² e) f(x,y)=6x+10y f) f(x,y)=x0.25 0.75 Calculate of/ox (the partial derivative),…

A:

Q: 65-4 52-45+16 4/ A: 1- L-1,

A: given the function in laplace form

Q: If f(x) 2 x2 find f'(5).

A:

Q: Solve the given linear differential equation. Use C as the constant of integration in your solution.…

A:

Q: Calculate the difference quotient for f(x) = 5x² at a = 6. (Express numbers in exact form. Use…

A:

Q: Which of the following is an integrating factor of the differential equation ydx - xdy = 0. d. xy 1…

A:

Q: Find the solution of the differential equation (t² + x²)dt + (2tx − x) dx = 0. a. 2t³ - 6tx² – 3x² =…

A:

Q: f(x)-f(a) x-a a. Use the definition mtan = lim x→a a. mtan to find the slope of the line tangent to…

A:

Q: 11) y = −4x + 8 4 2 1 -4x + 8 y -4(4) 48-8 (-4(2) +8 -4015+8/4 -86 4 -2 8 6 2 10 121 4 -2 -4 -6 (x,…

A:

Q: If g(x) = sin(x) then g'(x) = = g'(5) =

A:

Q: Which of the following equations is a linear differential equation? (choose all possible answer) A B…

A: A differential equation is called linear if the equation is free from the product of dependent…

Q: Let f(x,y,z) = x²-tany² 2xyz Solve for fxyz.

A: We need to find fxyz

Q: 45. a¹ + a²2=0

A: Find roots

Q: Find the average cost function if cost and revenue are given by C(x) = 151 +5.3x and R(x) = 4x…

A:

Q: Solve the given linear differential equation. Use C as the constant of integration in your solution.…

A:

Q: Use the vertical line test to determine whether or not the graph is a graph in which y is a function…

A:

Q: Q4. A. Find the parametric and Cartesian equations of the line connecting the points A (1, 2, -1)…

A:

Q: Let x represent the units of labor and y the capital invested in a manufacturing process. When…

A: The solution consists of differentiation of equation with respect to x

Q: Q5/ A: Solve the following differential equation by Laplace : d²y dx² - 4 y = 16 t

A: Differential equation

Q: The graph of a population P(t) of squirrels is shown. Identify the discontinuities of P. t = P 30 29…

A: We have given graph of population P(t) of squirrels. From given graph  discontinuities of P is given…

Q: ) If the matrix A= [4 2 1; 1 5 9; 3 8 7], find: · A' - A(3,1) - size(A) - A(:,2)= [] Inv(A)

A: Since, you have posted a question with multiple sub-parts, as per company policy we will solve first…

Q: Q3/ A: Find General Solutions for the following Differential Equations (Use Differential Operators).…

A: Given D2+1y=X2cos5X