Find an nth degree polynomial function with real coefficients satisifying the given conditions n=4 -1,3 and 3 +2i are zeros f(1)=-32 f(x)=

Q: Suppose that y varies inversely with x, and y=6 when x=3. Write an inverse variation equation that…

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Q: Find the gradient of the function at the given point. Function Point f(x, y) = x + 8y (7,3) y + 1…

A: The given function fx,y=x+8yy+1 We have to find the gradient of fx,y at the point 7,3 and also find…

Q: 4. A fence is to be built to enclose a rectangular area of 800 square feet. Then fence along three…

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Q: Given the implicit curve arctan(x² − y) + sin(2x + y) = xy + 8, find the tangent line at (-2,4).

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Q: Find the indefinite integral. (Use C for the constant of integration.) √³x (3) dx Need Help? Fland…

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Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for (a) lim X (b) lim X + +³7 - 32x…

A: Use limit concept

Q: Working in radians, find an estimate of the solution of the differential equation dy = 2y cot (x) +…

A: Given differential equation: dydx=2y cot x +ex sin2x To find the estimate of its solution at point…

Q: Find the derivative and simplify where possible for the following:

A: Given, g(x)=1-coshx1+coshx   Aim: Find g'(x)

Q: (a) point The graph of the function f(x) = 3²- can be obtained from the graph of g(x) = 3* by one of…

A: Let's find which transformation is used in given function.

Q: 9. You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the…

Q: Find lim 1→0 Answer 6t + 4tant sint Keypad Keyboard Shortcuts

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Q: A factory manufactures three products, A, B, and C. Each product requires the use of two machines,…

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Q: Evaluate the integral. (Use C for the constant of integration.) √(x² + 8x) cos(x) dx (x²sin(x) + 8x…

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method…

Q: Find the absolute extrema of the function over the region R. (In each case, R contains the…

A: We have to find the absolute extrema.

Q: FB 2.1 Find all -< x < 27 such that cos 2x 1.

A: Given query is to find the values of x.

Q: An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…

A: Given :

Q: Use integration by parts to evaluate the integral. [5. 5x ln(2x) dx

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Q: Suppose that y varies directly with x, and y=18 when x=-3 a) write a direct variation equation…

A: Suppose that y varies directly with x, and y=18 when x=-3 a) write a direct variation equation…

Q: By the "end behavior" of a function we mean the behavior of its values as →∞o and a to-∞o. Do P(x) =…

A: P(x)=4x⁵-5x³+2x End behavior is determined by the degree of the polynomial and the leading…

Q: Q5: Solve the following set of equations using Newton-Raphson with initial values x₁ = 0.5, x₂ = 1.5…

A: We have to find the solution.

Q: Find the exact value of the given expression. tan(cos-¹(²)) 2 3 4

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Q: How do I find the absolute extrema of g(x)=(3x2)/(x-6) in close interval of [-3,2]

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Q: Question Determine the absolute error when using the rhidpoint rule to find ³ (8x² + 5) dx using 3…

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Q: 6.8 23 & 24

A: We know that,

Q: ************** A cylindrical package to be sent by a postal service can have a maximum combined…

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Q: You deposit $2000 in an account earning 8% interest compounded continuously. The amount of money in…

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Q: Find the general solution and particular solution of y''=6x, y'(0)=2, y(0)=1

A: We will use method of separation of variables.

Q: Find the equation of the sphere if one of its has endpoints (6-7, 8) and (8, -3, 19). diameters 1=0

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Q: 1) The value of a product (in dollars) increases according to the function v(t) = 2.45e0.032t in the…

A: given that value of the v(t)=2.45e0.032t

Q: (a) We have 3 X Y

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Q: Find the derivative and simplify where possible for the following: a) f(x) = tanh (1 + e2x)  b)…

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Q: Exercise 5 Determine a value of 8>0, that satisfies statement: If 0 < x - 3|<8, then f (x) +1|<1. YA…

A: We determine the equation representing f(x) and proceed further. Equation of line passing through…

Q: Let R= (2₁1), Find the Point P such that PR has components 82-3,17

A: Let coordinate of point Pa,b

Q: Solve for z when f(z) = 0 where f(z) = 12z² + 25z + 12. Z=

A: We can find the value of 'z' by solving the quadratic equation in the below steps.

Q: A company has $10,890 available per month for advertising. Newspaper ads cost $130 each and can't…

A: Given that  The total money available per month for advertisements is $10890.  Newspaper ads cost…

Q: Calculate all four second-order partial derivatives of f(x, y) = 5x²y + 5xy³. fxx (x, y) = fry (x,…

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Q: At the beginning of an experiment, a scientist has 260 grams of radioactive goo. After 75 minutes,…

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Q: Function Operations Given the functions: f(x) = 9x + 7 and g(x) = 3x - 6, determine each of the…

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Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

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Q: Question Find the actual value of t 1 dx, then 3√x approximate using the midpoint rule with four…

A: Here we have given a definite integral now we have to solve this by using midpoint rule. And also we…

Q: Determine if the series below converges or diverges by comparing it to a p-series using the…

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Q: 3. Find the linearization of f(t) = = this to estimate f(3.05). 3t t² +3 at t = 3 and use

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Q: Find p(-2) for p(x) = x²³ - 6x² + 3x + 4 P(-2) =

A: Put the value of x=-2

Q: Operations on Functions Using Tables of Values Use the graphs for f(x) and g(x) to evaluate the…

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Q: How to determine if it is continuous, without using a graph?

A: Given function:- fg=2g2-gif g≤0tangif g&gt;0

Q: f(x) = x² - 11x + 30 g(x) = x - 5 (f+g)(x) = (f- g)(x)

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Q: Let t be the number of days since concert tickets went on sale. The daily sales function is 110t 50+…

A: We need to find tickets sold.

Q: 1. [e²y ycos (xy)] dx + [2xe²y xcos (xy) + 2y] dy = = = 0

A: According to guidelines I can only solve first question ,rest can be reposted.

Q: The number of inhabitants y in a city increases according to the relationship y=50,000+1500x. x…

A: The given equation is:- y=50,000+1500x   Comparing with the standard equation:- y=kx+C   C = 50000 k…

Q: Evaluate the expression without using a calculator. 10 log 34 10log 34 = ●

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