Find an nth degree polynomial function with real coefficients satisifying the given conditions n=3 4 and 5 i are zeros f(2)=58 f(x)=

Q: Find the angle of inclination θ of the tangent plane to the surface 2x2-3y2+z=0 at the point…

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Q: Evaluate the expression without using a calculator. log 476

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Q: In each case, determine whether or not the lines have a single point of intersection. If they do,…

A: Part_a_ r1=5t, 2t-1, 2t-2 and r2=t-7, -t+6, t-9   First rewrite both the equation in different…

Q: The weight of an object varies directly with the mass of the object. Suppose that an object whose…

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

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

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

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Q: Given the scatter plot shown, determine if the correlation is positive, negative, or if there is no…

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Q: Assuming the original 10 organisms grew exponentially, doubling in size with every unit of time,…

A: Given that original 10 organisms grew exponentially, doubling in size with every unit of time,…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. √6x² + 2x +7 dx 3 X…

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Q: Question Determine the absolute error when using the trapezoidal rule to find ²(2x³ + 4x) dx using 4…

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Q: Given the function f(x) = 6x² - 3x + 1. Calculate the following values: f(-2) = f(-1) = f(0) = -…

A: The function is given by fx = 6x2-3x+1       To evaluate: The values of f-2, f-1, f0, f1, and f2

Q: 3. The limits below do not exist. Verify this by showing two different pathways that result in…

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Q: A car was valued at $44,000 in the year 1992. The value depreciated to $14,000 by the year 2004. Use…

A: Given data, Principal P=$44000 Amount A=$14000 Time t=2004-1992=12 years

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: (a) We have 3 X Y

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Q: You go to the doctor and he gives you 12 milligrams of radioactive dye. After 12 minutes, 5.25…

A: We have to find the minimum time of visit.

Q: Question Use the trapezoidal rule to calculate the absolute error of ¹(5x³ + 5x) dx using 3…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the critical numbers of the function f(x) = 4x5 + 25x¹ - 20x³ - answers to three decimal…

A: Given, f(x)=4x5+25x4-20x3-5

Q: what is an improper integral?

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Q: Find the equation of the tangent plane to the surface: x² + y²-z² = -z, at (1, 1, 2)

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Q: If 1 f(x) = coth-¹√√x² +5 then f'(x) = 0

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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: Consider the function f(x) = (x - 1)1/3 .(a) Compute the slope of the secant lines between (1,0) and…

A: Concept: The slope of the tangent line of the function is  m=f'(x) The slope of the secant lie…

Q: problem # 3. Graph the and get its f(t) = - 0 0 piecewise function Laplace transform. t <3 3 < t < 5…

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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: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Topic = Differential Equation

Q: Solve the given differential equation (where the function is subject to the given conditions) by…

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Q: (a) Jessica is playing a role-playing game with her friends. She will roll dice to determine if her…

A: Given a) probability of unlocking the treasure chest is 920. b) The odds against choosing a blue…

Q: = The doubling period of a bacterial population is 15 minutes. At time t population was 90000. What…

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Q: If w=-4x² + 8y², x = -s+ 6t, and y = 3s + 2t, find Ət Provide your answer below: дw = Ət in terms of…

A: Given query is to find indicated derivative.

Q: Evaluate the following integrals and state that they diverge or converge.

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Q: One banana and two mangoes cost K1.30. Five bananas and four mangoes cost K3.50. Find in toea the…

A: See this solution in below.

Q: Use the Bisection Method to approximate, accurate to two decimal places, the value of the root of…

A: Use the Bisection Method to approximate, accurate to two decimal places, the value of the root of…

Q: Use Figure 1 to evaluate the trigonometric function. Enter the exact answer. tan B = B 11 Figure 1 A…

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Q: Question Determine which of the following tests would be best to use to determine the convergence of…

A: Solution: ∑n=1∞9n37 Apply p series test if the series is of the form  ∑n=1∞1np, where p&gt;0 If…

Q: Given that f(x) (a) (f + g)(3)= (b) (f - g)(3)= (c) (fg)(3)= (d) (-) (3)-[ = x² - 7x and g(x) = x +…

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Q: Write a differential equation that models the given situation. The stated rate of change is with…

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Q: Evaluate the limit, if it exists. 1 - 2x² - x4 5+x - 3x4 1 2 (i) lim x → ∞

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

Q: 2. Sketch the domain of the following functions: a) f(x, y) = b) f(x, y, z)= 2-x-y - eª %2 In(4-x² -…

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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: dy Find for the function y = 11*.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use the chain rule to find the indicated partial derivatives at p=4, r = 3,0 = 0 and enter them into…

A: given u = x2 + yz x = prsinθy = prcosθz = p + r

Q: 1. Determine the domain and range of the vector-valued function r(t) = (√t+3, In(2 – t), t²)

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Q: Consider the function: f(x)=7x+1 Step 2 of 2 : Find the value of f(a+5)

A: Consider the function: f(x)=7x+1Step 2 of 2 :   Find the value of f(a+5).

Q: 2. Find (F(r(t))) when F and r are the functions given below. (a) F(x, y) = sin(x) + cos(y) and r(t)…

A: According to our guidelines,i can solve only first please reroute the remaining question.

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: Differentiate the following function. 3 y=xaex dy CX

A: We know, d/dx(xn)=nx(n-1), for any real number n  And d/dx(ex)=ex

Q: Find the zeros of f(x) = x^2 − 6x + 10. Then, compute x1/x2 where x2 is the zero with positive…

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Q: Find the first and second derivatives of the given function. f(x) = -0.7x² + 0.9x + 3 f'(x) || f"(x)…

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Q: Differentiate (logarithmically) dy/dx, if y = ln(cos x)/2x^cot(3x)

A: given  y = ln(cosx)/2x^cot(3x)  dydx= ddx(ln(cosx)/2x^cot(3x)dydx ={ 2xcot(3x)ddx(ln(cosx) -…