Given the function f(x)=5x^4+75x^3+315x^2+405x, and one of its factors is (x+9), write f(x) as a product of linear factors with integers.

Q: #solve the following lup x²=-2x-y Misob & chris y'= 6x-78 y (o) = 7 x(0)=3 Then find x(0.25) to at…

A: Given system x'=-2x-yy'=6x-7yand   givn condition x(0)=3  and   y(0)=7

Q: 0 Find the sum of the series > k=1 (a) (c) 12710 2 (b) (d) 3 (ⅱ). 3 5 11 10

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Q: 13. After t weeks of practice, a typing student can type w(t) 100(1e-0.4t) words per minute. How…

A: Given query is to find the time when the typing speed will reach to 80 words per minute.

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Q: 10 & 16 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum…

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Q: [2√T S Suppose you use the substitution u = 1+ 3x³ to evaluate the definite integral of the…

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Q: 1) Evaluate ]] where D = {(x,y) | y≤x≤1, 0≤y≤1} and [ dy fe²de dx Also explain why they're the same.…

A: Please see the below picture for detailed solution.

Q: Determine whether each statement is true or false. You have one submission for each statement. (a)…

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Q: If f(x) x+1 4x 3x + 5 13x + 5 3x + 3 13x + 1 3x + 2 and g(x) = 3x x + 3' then (gof)(x) is

A: given  f(x)=x+14x                        g(x)=3xx+3           gof(x)=g(f(x))

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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: 14 Friday 5x² + 6y² = 9 2

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

Q: 77. f (x, y) = xy and D = = {(x, y)| − 1 ≤ y ≤ 1, y² − 1 ≤ x ≤ √/1 − y² }

A: Explained below

Q: (₂x), _UIS L y = 7

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Q: K Find the lines that are tangent and normal to the curve at the given point. x²y² = 64, (-1,-8) The…

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Q: Find parametric equations of the line through (−2, 1, 3) that is parallel to 3i - 7j+k. x(t) = 5 t -…

A: Given query is to find the equation of the line.

Q: y= у ха т x-1

A: We know, log(a/b)=log(a)-log(b) log(x)=1/x

Q: Which equation choice could represent the graph shown below? 8241228 20 16 10 -10-9-8-7-6-5 -4 3-2-1…

A: solution:-according to the given graph of f(x)roots of f(x) is at :x=-3,…

Q: Write an equation for the polynomial graphed below, in factored form. 5 4 3 W 2 1 -3 -2 -1 2 3 4 -2…

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Q: Sketch the graph of a differentiable function y=f(x) through the point (3,3) if f'(3) = 0 and…

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: Use the concept of the differential equation

Q: An equation relating the variables x and y, the values of x and y, and the value of dy value of…

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Q: Given the function f(x) = 1 (in blue), consider the functions g (in green) and h (in red) graphed…

A: It can be seen from the graph ÷ hx<fx<gx h(x) is the red graph f(x) is the blue graph g(x) is…

Q: 8. Given that f"(x) = 4x- x² + 3 use a test to find all intervals on which f is concave up or…

A: 8)

Q: Find the limit 2 ·lim t²-16 t-4 t³-64 3

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Q: PS #2 16. Find the equation of the normal line to the curve y = x¹ + 1 that is perpendicular to x +…

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Q: Oct 26, 8:38:14 PM Write a function in any form that would match the graph -10 -8 -6 Answer: f(x) =…

A: We have to write the function from the given graph of the function f(x).

Q: According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural…

A: The given problem is solved below in detail.

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

A: solutions:-x2+xy-y2=11differentiate both sides w.r.t  xddxx2+ddxxy-ddxy2=ddx112x+y+xdydx-2ydydx=0at…

Q: A farmer finds that if she plants 80 trees per acre, each tree will yield 45 bushels of fruit. She…

A: Use maximization concept

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: (a) In(a + b) In(a)In(b) for all a,b > 0 OTrue False (b) In(a-b) In(a) + In(b) for all a,b>0 OTrue…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Evaluate the improper integrals or show that they diverge. Make careful use of limit notation. (a)…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Use the Rational Zero Test to list the possible rational zeros of f. Verify that the a f(x)=x²³ +…

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Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of…

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Q: Find the derivative of y=x√x + 1. 1 dy = 2(x+1) ³ + √² ž √x+1 dy dx = dy dx dy √x+1+ dx = x √x+1 = =…

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Q: The graph of the function f(x) = x²2e-x/7 26.53+ 21.22 15.92 10.61 5.31 follows. 5 10 15 20 25 30 Q…

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Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = 4 2 50…

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

Q: The graph of f' is given Assume that f is continuous and determine the x-values corresponding to…

A: Given question:- We have to find local maxima and minima point with the help of function's first…

Q: Find the slope of the curve at the given point. 8y +7x5=5y + 10x at (1,1) The slope of the curve 8y…

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

Q: Match the graphs with the corresponding formulas. 1. Sn = 3/n ? ? ? ? 2. Sn=3+ (-1)"/n ✓3. Sn =…

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Q: Let w(x, y, z) = x² + y² + z² where x = sin(2t), y = cos( - 7t), z = e-8t. dw dt dx dy dz & dt dt dt…

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

A: Topic = Vector

Q: determine whether the sequence converges or diverges. if it converges, find the limit. (if the…

A: We can find whether the sequence is convergent or divergent .

Q: Use l'Hôpital's rule to find the following limit. lim (In 5x - In (x + 4)) X→∞ lim (In 5x - In…

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Q: 2. Given the rational function f(x) = make a sign diagram for the first derivative only, and find…

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Q: 1. Suppose f is differentiable everywhere, f(0) = −1/2, and f' is graphed below. 1 X پر 2+ (a) Find…

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

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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.