Given the function f(x) = 5x³ − 56x² + 112x + 128, and knowing one factor is (x − 4), write f(x) a product of linear factors with integers. f(x) = =

Q: Solve for the general solution of the given differential equation: O 2x^3 + 3y^2-6y=c O 2x^3 + 3y^2…

A:

Q: xp (&/s* + ©)sex f

A:

Q: A peach grower finds that if he plants 70 trees per acre, each tree will yield 80 bushels of…

A: Let x be the number of trees.

Q: Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to…

A: Topic = Vector

Q: f(x) = 6x - 5 (a) Find the inverse function of f. f-¹(x) = + 5016 (b) Graph fand f-1 on the same set…

A:

Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

A:

Q: Find a formula for the general term an of the sequence (starting with a₁): 1 1 1 1 6' 12' 18' 24' an…

A: Given is to find the formula for nth term

Q: The polynomial of degree 3, P(x), has a root of multiplicity of 2 at x = 1 and a root at x =…

A:

Q: 11. A rich uncle wants to make you a millionaire. How much money does he need to invest at the time…

A: We know At=Pert⇒At=Amount at time t⇒P=initial amount ⇒r=rate of interest ⇒t = time in years

Q: cos(x) (a) lim x1 √√x-1 r

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: state the axioms that define a group.

A:

Q: An open-top box is to be made from a 32 in. by 22 in. piece of cardboard by removing a square from…

A:

Q: 3. Evaluate the determinant. 24 | a. 22 b.-12 c. -2 d.-18. e. -4

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

Q: 8. Δ The series Σ(-1)* =0 k! (a) Converges absolutely (c) Diverges (b) Converges conditionally

A: D'Alembert test: Let us consider a series of real numbers, ∑k=0∞uk such that uk+1uk=l Then if l<1…

Q: radius=100mm radius=100mm

A:

Q: The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0? -10 -8 -6 10 8…

A:

Q: (₂x), _UIS L y = 7

A:

Q: state the axioms that define a ring.

A: Consider R to be a non-empty set with two operations '+' and '.' Addition operation: For any a, b ∈…

Q: For problems 3-5 A math camp wants to hire counselors and aides to fill its staffing needs at…

A:

Q: Find the centroid of the region enclosed by the parabola y= 1-x^2 and by the x-axis

A:

Q: Σ 1 8

A: See this solution in below.

Q: PS 45 20. A large, juicy grapefruit is cut in half. The diameter of the grapefruit (not including…

A:

Q: 14 Friday 5x² + 6y² = 9 2

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

Q: Find d²y/dx² if y = x cos(2x) - sin²(x). Answer:

A:

Q: Which table represents a function? A B X y 2 3 -3 0 4-3 2 1 X y 1 2 1 3 1 4 1 5 D X -3 -2 -3 2 J y 0…

A: We have to find out

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A: To find out the maximum revenue.

Q: В С -10-2 -6 -2 1 5 13 2 69 3x + 2y = 4 >+ X

A: We have to find out

Q: Given the function f(x) 3x³ - 18x² a product of linear factors with integers. f(x) = = - 75x - 54,…

A: We have to find out

Q: Q5. (Newton's Law of Cooling): The mathematical formulation of Newton's empirical law of…

A:

Q: The polynomial of degree 5, P(x) has leading coefficient -3, has roots of multiplicity 2 at x = 1…

A: We have to find out

Q: Car A travels at an average speed of 65 miles per hour. Car B travels at an average speed of 55…

A:

Q: 3. A tank contains 400 liters of brine holding 300 kg of salt in solution. Water containing 125 g of…

A:

Q: Use the chain rule to find the derivative of 6√10x8 + 8x7 Type your answer without fractional or…

A: Topic- Derivative of a function We are given f(x)=610x8+8x7Formulas used:chain rule:…

Q: Let f(x) = √3x² + 2x + 7 ƒ'(x) = f'(1) =

A:

Q: fave = (b) Find c in the given interval such that fave = f(c). (Enter your answers as a…

A:

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A:

Q: Let g(x) 10x + 12 3x + 6 Find the derivative of g'(x). g'(x) =

A:

Q: 2. Solve the following integral [(secx a. tanx + secx + C O b. secx - tanx + C O c. tanx - secx + C…

A: formula used  ∫sec2x dx=tanx +c∫sec(x)tan(x)dx=sec(x)+c

Q: O x = 4 ve Find all points where the function is discontinuous. e

A:

Q: s that a 10 on the top of the fraction?

A: To  confirm we calculate again

Q: Find the y-coordinate of the y-intercept of the polynomial function defined below. f(x) = −2x(2x² +…

A: Given; We know that the y-intercept is an (x,y) point with x=0. So, we get that f(0) = 0.

Q: L'Hôpital's Rule does not help with the following limit. The expression keeps on cycling. Find the…

A:

Q: Write a function in any form that would match the graph shown below. 10 8 Answer: f(x)= -2 20 16 12…

A: Given query is to find the function of the graph.

Q: Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and…

A:

Q: Q2. By finding an apporppriate integrating factor, solve (3x²y + 2xy + y³) dx + (x² + y²)dy = 0.

A:

Q: te a polynomial with degree 4 that has a zero at x = tiplicity of two. Write the function using only…

A: Given query is to find the function.

Q: Find the symmetric equations of the line that passes through points P (-2, 1, -3) and Q (-1,-4, 3).

A:

Q: Find the critical numbers of f(x) = 5x³ + 6x² - 4x + 120

A:

Q: Given the graph of f, find any values of x at which f' is not defined. Ox=1 Ox=2 Ox=-1 Ox=0 412

A: Given that a graph of function f and we find any value of x at which f is not defined.…

Q: (c) [(317+(31 sint)7) dt (d) ((e)i+e' cos(re)7) dt

A: