Го -21 [2 -1 A = [5 21 -1] B = 3 -5 1 2 3 С 3D| -1 1 2 -1 2 -2 D = 3 1] -2 4] 3 1. 3.

Q: What is an increasing function?

A: A function fx is said to be an increasing function, if the value of fx increases as the value of x i...

Q: Fill in the blank by writing the letter of the technique (a through g) for factoring the polynomial....

A: Given polynomial is 4x2+8x+3. To factorise the given polynomial. Factorising the given polynomial. 4...

Q: Find equations of the lines passing through (−3, 5) and having the following characteristics.       ...

A: (a) To find equation of line passing through (-3,5) and having slope 716. Equation of line passing t...

Q: Find f + g, f - g, fg, and fg of the given function f(x) = x2 + x + 1, g(x) = x2 - 1 and determine t...

A: Given function are fx=x2+x+1 and gx=x2-1. To find: f+g, f-g and fg. Solution: f+g=x2+x+1+x2-1=2x2+x ...

Q: A joker's cap is in the form of right circular cone whose base radius is 7 cm and height is 24 cm .F...

A:

Q: Sketch a graph of y = 2x on [-1, 2] and use geometry to find theexact value of function given

A: Let's sketch the graph of the following function:                                       y=2x        ...

Q: Explain how to find the product of the sum and difference of two terms. Give an example with your ex...

A: Let a and b be two terms. Their sum and difference is a+b  and  (a-b)

Q: Use a graphing utility to graph function f(x) = x3 - 6x2 + 9x + 1. Use a [-5, 5, 1] by [-5, 5, 1] vi...

A: fx=x3-6x2+9x+1 The graph is,

Q: Use Table 8.1 (p. 520) to complete the process of evaluating sin x + 1 - dx cos?x

A: Consider the integral: I=∫sin x+1cos2 xdx……1

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: Given: ∫0πx sin 2x dx 

Q: Find all the local maxima, local minima, and saddle points of thefunctions ƒ(x, y) = 1/(x2 + y2 - 1)

A:

Q: Find the distance between the pair of points, (-2, 3) and (3, -9) , If necessary, express answers in...

A: the given points are: (-2,3) and (3,-9) we have to find the distance between the pair of given point...

Q: A particle moves along the x-axis with velocity given by v(t) = 57 sin (t) for time t>0. If the part...

A:

Q: Use the most appropriate method to solve the equation 2 tan2 x + 5 tan x + 3 = 0 on the interval [0,...

A: Given:2 tan2x +5 tanx +3=0

Q: Describe the two main geometric properties of the gradient V f.

A: A. If f is differentiable, then the dot product (∇f )x ⋅ v of the gradient at a point x with a vecto...

Q: Find fx and fy, and evaluate each at the given point f(x, y) = exy2,   (ln 3, 2)

A:                                                             Given:  f(x, y)=ex y2 ;    (ln 3,  2)To ...

Q: 3. Given is the area in the first quadrant bounded by x2 = 8y, the x - axis, x = 4. What is the volu...

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Q: Find the inverse function of f(x) = √(2x − 3)

A: Consider a function fx: let domain of fx be A and range be B, then f:A→B is a function defined as: f...

Q: Prove the following identities as shown.

A: Definition of secant function says that the value of secθ is nothing but the reciprocal value of cos...

Q: Alex uses the length of his hand to measure the size of his desk. He finds the top of his desk to be...

A:

Q: In Exercises 5-24, compute the derivative.

A:  We have to find derivatives of the function: Ht=sin t sec2 t We know the formula of differentiation...

Q: Let dy/dx =f(x, y)= x^2 -y Use Euler’s method ( with step size ℎ = 1) to approximate the value of y(...

A: Given, dydx=f(x,y)=x2-y y(0)=1 h=1

Q: Solve the system 3x2 + 4y2 = 16, 2x2 - 3y2 = 5 by the method of your choice.

A: Given:3x2+4y2=16    →12x2-3y2=5      →2

Q: true or false all of them

A:

Q: 1) Divide the polynomial 6x^3-19x^2+16x-4 by x-2, and use the result to factor the polynomial comple...

A:

Q: Completing the Square Find all real solutions of the equation by completing the square. 57. x + 2x -...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Solve the system by using A-1, the inverse of the coefficient matrix:

A: Given,     x−y+z=2    −2y+z=2−2x−3y   =1/2 Written in matrix form AX=B⇒X=A-1B 1−110−21−2−30xyz=221/2...

Q: Use the graph to determine each limit, and discuss the continuity of the function.

A: Given:  

Q: In x |find f"(e). If f(x)

A:

Q: I noticed that the difference quotient is always zero if f(x) = c, where c is any constant.

A: Difference quotient is also known as definition of limit. f'x=limh→0fx+h-fxh Given function is fx=c,...

Q: Use surface integrals to calculate the mass flux [o.. the fluid across S. pv - ds of

A:

Q: find the derivative of y with respect to the appropriatevariable. y = sinh-1 (tan x)

A: The given function is: y = sinh-1 (tan x) The derivative of y=sinh-1θ is: ddθsinh-1θ=11+θ2.      

Q: Determine whether the points P(1, −2, 3), Q(2, 1, 0), and R(4, 7, −6)                    are colline...

A: Given, The points P(1, −2, 3), Q(2, 1, 0), and R(4, 7, −6).

Q: 5. Find a positive value x = c, that satisfies the conclusion of the Mean Value Theorem for Derivati...

A: