Q9: Showthat triangle ABC is right at A where A(1,0,1), B(2,1,0), c (1, 2, 3).

Q: Let f(x) = 5 − 3x²2 and g(x) = x + 5. Compute the following. (a) (fog)(x) (b) (c) (e) (fog)(-1)…

A:

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y (a) 128 (b)…

A: Note: As per our guidelines, we can solve first three sub parts as your all parts are not small.

Q: X = +²37₁ y = + ²3² Find the values of + that correspones to vizontal vertical tangent lines to the…

A:

Q: 6. Let f(x, y) = sin(x + y). Answer the following questions. (a) ) Find the gradient f(x, y). (b)…

A:

Q: Question 6: For each of the following functions f, find its natural domain. (a) f(x) = 22-2-3 (b)…

A:

Q: Recall that a sequence is a list of numbers while a series is a summation of numbers. 1. Let an = n…

A:

Q: Find the absolute extrema (max and min) of f(x,y)=3x^2-2y^2 over the disc x^2+y^2<=1. Indicate all…

A:

Q: Given that (fog)(x)=x-8, which are correct rules for f(x) and g(x) that result in this composite…

A:

Q: Find the area of the shaded region. -1.0 -0.5 y 8 6 y=3e 4 2 0.5 (1, 3e) y=3xet² 1.0 1.5 2.0 X +

A:

Q: Find the surface area of the part of the plane 4x+3y−z=2 that lies above the box 2≤x≤5,   2≤y≤6…

A:

Q: -4-3-2 VA 3 2 1-2 x = – 1 y = 1 3 4 5 x x = 2

A:

Q: 3 Use algebra to find the point at which the line f(x) T- 4 59 6 h(x)= - Y 4 3 C Write the values of…

A:

Q: DETERMINE WHETHER THE SEQUENCES ARE INCREASING, DECREASING, MONOTONIC. IF INCREASING, EUTER I AS…

A:

Q: List the first five terms of the sequence. a1 = 2, : 2, a n + 1 an + 1 = 2an + 4 21 2 а2 8 12 14 16…

A:

Q: Find the domain of the function. h(u, v) = √3-u² - v² Ou+v≤3 Ou² + v² 0 Ou+v<3

A:

Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

A:

Q: Consider the integral approximation T20 of fo 2e-4 dx. Does T20 overestimate or underestimate the…

A: Here And Now,         ..........(1)

Q: Given: f(x)=4x-10 and g(x)=√x-6 Determine the following: (f-g)(10)=0 (HM)={ (fog)(7)=O -O (gf)(6) =…

A: The given functions are  and

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

A:

Q: The following integral is an improper integral. ( Explain why it is improper, (b) determine whether…

A:

Q: Evaluate the indefinite integral. 0+ +C 54 sin x COS X dx

A:

Q: 4 Sª 3 16 (x-7)(x + 9) dx

A: I=∫3416(x−7)(x+9)dx

Q: Solve the given boundary-value problem. y-10y+25y=0, y(0)=1 y(1)=0

A:

Q: 17 [²²; 1 The integral dx diverges. x (In x )1.5 If the integral converges, enter the value below.…

A: Substitute

Q: Find the reduced echelon form of the matrix: M 1 2 3 1 4 1 2 19

A: The Matrix is given by :

Q: Find the interval containing x = 0 where f(x) = 81x - tan(x) is increasing. Write your answer as an…

A:

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 2xe…

A:

Q: Consider the following set of data. 12, 13, 13, 15, 16, 17, 18, 20, 20, 20, 22, 26. Compute the…

A:

Q: Tel f(x) = at: *+] at x = 2

A: The given function is

Q: Find a Cartesian equation for the curve. r = 9 cos(0)

A:

Q: If what are the bounds of integration for the first integral? a= 11 [ f(a)d= = [ f(x) dx + " f dx […

A:

Q: Find dx² 2 y=√x

A: Given

Q: b) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at…

A:

Q: ONEGOToft, Q3: Express the sum of the Vectors AB and CD, givende four Points A(1,-1), B(2.0),…

A:

Q: The graph of y = f(x) is given below. -5 150 num -4 lim f(x) AI-1 -3 -2 5 4 3 2 -1 -1/ 1 2 4…

A: A graph of the function  is given.The aim is to find the given limits.

Q: 5 Determine the difference quotient for the function f(x) = 2x-1.

A:

Q: Use the quadratic formula to solve the equation. Give two forms for each solution: an expression…

A: The given quadratic equation is

Q: ·b f(b) − ƒ(a) = f'(a)(b − a) – ſå ƒ''(x)(x − b)dx a

A:

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: r=6cos⁡(θ),θ=π3

Q: 1. If y2 = 10x, then A. - 5 2xy 1 C. -2232 2x d² y dx2 = B. D. - 1 5x 2y 5xy 2

A: Given,

Q: 16. x1 + 3x2 +4x3 = 0 3x1 + 8x2 + 7x3 = 0

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) X…

A:

Q: The radius of a right circular cone is increasing at a rate of 1.5 in/s while its height is…

A:

Q: (a) Estimate the area under the graph of f(x) = 1 + 2x² from x = -1 to x = 2 using three rectangles…

A: We have given that, the function is    , x = -1 to 2.(a) For n=3, we have the right Riemann sum…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Consider the sequence

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.01 cm/min.…

A: Radius = 60cmdr/dt = 0.01 cm/min.

Q: Sx ³√x²+4 3 S

A:

Q: A chemical substance has a decay rate of 6.7% per day. The rate of change of an amount N of the…

A:

Q: Consider the following. x = e-5t, y = e5t (a) Eliminate the parameter to find a Cartesian equation…

A: Consider the following.To eliminate the parameter to find a Cartesian equation of the curve.

Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (If…

A: