Consider the polynomial equation a + 2x³ + 22x? + 50x – 75 = 0 a) Use synthetic division to show that x=-3 is a solution to the polynomial equation but x=3 is NOT a solution. b) Explain, without any detailed calculation that x=2 cannot be a solution to the polynomial. c) Factor the polynomial completely.

Q: Given f(x, y) = x³ – 2xy + 3y². Which of the following is true? fa = -æ + 6y + 3æy²; fy = 3x² – 2y +...

A:

Q: Suppose that a model rocket blasts off, straight up, at time t = 0, with a vertical displacement giv...

A:

Q: The curve-4x - 3y3-7x + 5y = 2 is shown in the graph below in blue. Use the graph below to draw line...

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

A:

Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:

Q: Problem 9. Use the following propositions to draw the corresponding Venn diagram. а. (Gray area is t...

A: The following is the Venn diagram.  

Q: If f(x) = 5 cot + 4, then find the value of f'(-9) is %3D -5 82 -4 82 V 82 00 V 82

A: Solve for the derivative

Q: A. Generate the first 50 Fibonacci numbers. Get the ratio (higher value divided by the lower value) ...

A: Definition of Fibonacci numbers:  Fibonacci numbers are from Fibonacci sequence. In this sequence ea...

Q: 4.- The population of zebra in an area varies around an equilibrium level X.. The population of lion...

A: We will answer to the question 4a only as it is mentioned and demanded. 

Q: Suppose that y is inversely proportional to the square of x, and that y=64 when x=5. What is y when ...

A: Since  y is inversely proportional to the square of xy ∝1x2y =k 1x2where k is constant

Q: s=[−2,1,5] and t=[3,2,0] a) Determine s × t b) Show your work to confirm that s × t is orthogonal ...

A: Given query is to find indicated vector.

Q: Given f(x) = 2/ (x + 5) and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x)

A: Given f(x) = 2/ (x + 5) and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x))

Q: Evaluate the following: 1. S"(1– x)e¬*dx

A:

Q: Find all the distinct cube roots of 812, then plot the results on an Argand diagrar

A: Cube root of a number

Q: (2z + 3, z 3 is continuous at z- 3. Justify the conclusion. (4) f(3)= (i) lim f(z)= 63 (ii) lim f(z...

A:

Q: Determine if the following statement is True or False. If the statement is true, provide an explanat...

A:

Q: 2-x'y'y'+ xy' =1

A: Let's find. 

Q: a) logx5 32=1, then x=  b) 43x+4=18, then x=

A: Use  basic property of logarithmic function

Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

A:

Q: Which of the following is the general solution to the differential equation 4xy -x2-y" dx for x 0?

A:

Q: Suppose that a population follows a logistic growth model.  The population in the first year is 21.7...

A: Given:    Data is given

Q: 6. Given that k is an arbitrary constant, find the orthogonal trajectories of the following family o...

A:

Q: Writing a Definite Integral In Exercises 15-26, write a definite integral that represents the area o...

A: topic - definite integral

Q: ow directly that the given functions are linearly dependent on the real line. That is, find a nontri...

A: Topic:- algebra

Q: In (In y) dx + xy³ dx + x²y² dy+ In x dy = 0 y In y %3D 3.

A:

Q: 4. A concert promoter has found that if she sells tickets for S50 each, she can sall 1200 tickets, a...

A: Explanation of the answer is as follows

Q: 2. A farmer has 120 yards of fencing to form two identical rectangular pens and a third pen that is ...

A: First find perimeter then solve for area

Q: Given f(x,y) = 3x sin(3xy). Find fx(3,2). Give you answer correct to two %3D decimal places. Answer:

A: Topic:- partial derivatives

Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

A: The x-intercept is where a graph crosses the x-axis and the y-intercept is where a graph crosses the...

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at ...

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 4 sin V x dx n°(v.

A:

Q: x2+4 lim x→+00 2r-

A:

Q: Sz? - 5x + 1, -T 5 Evaluate the following limits for h(r) = and Justify your answer. (1) lim h(r)= ...

A:

Q: Evaluate the Following Integral sin7 Cos4x

A:

Q: Sketch in the two level curves of: f (x, y) = y+ x² = k _for k = 1, 2.

A: Solution is written in below steps.

Q: Graph the continuous function with the following properties. f is even f'(0) and f"(0) are undefined...

A: We have given some conditions:f is evenf'0 and f''0 are undefined but f' is differentiable everywher...

Q: Find the length of the curve x = from y = 1 to y = 3. The length of the curve is (Type an integer or...

A:

Q: Jse the guideline in §4.4 to sketch the curve: f(x) = 2x3 + 3x2 – 120x. 4). Domain, Symmetry, Asympt...

A:

Q: Solve the following equations: (You may leave your answer in exponential form or logarithmic form). ...

A:

Q: 2. y=cot1-2x 3. y=log22x*

A:

Q: dy = 3y + 2t dt %3D Given the above differential equation with the initial condition y(t=D0) = 5.0 a...

A: Solution is written in below steps.

Q: 2х + 7, х 7 From the following results, determine whether the function f(x): is continuous at x = 7...

A: I am attaching image so that you understand each and every step.

Q: Write an equation for the function graphed below

A:

Q: 6. f(x) = Vx – 1

A: This question is based on solving 0/0 indeterminate form using L Hospital rule.

Q: Let f be a continuous function such that f (x) dx = -7 and 1 f(x) da = -2. What is the value of 3 (x...

A: Given query is to find the value of the indicated integral.

Q: Parcel Post Regulations Postal regulations specify that a parcel sent by priority mail may have a co...

A:

Q: Find the derivative of y = cos³*+8 (x). Provide your answer below: y =

A: Given query is to find the series of the expression.

Q: Given the table of values below, find h'(1) if h(x) = g(x2 f(x)). f(x) f'(x) g(x) g' (x) 1 1 -3 -3 -...

A: