Write a polynomial with degree 4 that has a zero at x = 3i, and a zero at x = 5 with a multiplicity of two, and the ² coefficient is given to be 34. Write the function using only real values. P(x) =

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

A: Topic - Derivative of  a function We are given, f(x)=3x2+3x+2Formulas usedChain rule:…

Q: Find the equations of the tangent line and normal lines to the graph of the function f(t) = et + 4…

A: To find the equation of tangent and normal.

Q: Find y" if y = ax³ + bx+c. (a, b, c constant) Answer:

A: To differentiate the given function

Q: Problem 2. Find the following limits. (c) lim x 0 x (d) lim x48 x³ arctanr el/a - 1 1/x

A: Here is the solution:

Q: The line that is normal to the curve x² + 4xy-5y2 = 0 at (4,4) intersects the curve at what other…

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Q: Find the arc length of y= 2x sqrt(x), from x=0 to x=1 please show all work on a piece of paper

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Q: In the following exercises, change the order of integration and evaluate the integral. π/2 Z+1 ://…

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Q: (a) lim 2²/ I→∞

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

Q: O Use L'Hopital's Rule. x²-25 x-5x²-9x+20 5. lim

A: To find out the limit.

Q: If 8000 dollars is invested at 8% interest, find the value of the investment at the end of 6 years…

A:

Q: 9. Find the local quadratic approximation of f(x) = x³ at xo = 1, and use that approximation to find…

A: To find the local quadratic approximation of fx=x3 at x0=1, and by using that approximation to find…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: Please show your answers to at least 4 decimal places. Suppose that f(x, y) = x³y². The directional…

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Q: A dog food producer reduced the price of a dog food. With the price at $10 the average monthly sales…

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Q: Find an equation of the plane containing points P(-2, -3,1), Q(-1, 2, -3) and R(1, -2,-4).

A:

Q: To find the length of the curve defined by from the point (-3,210) to the point (3,276), you'd have…

A: Please see the below picture for detailed solution.

Q: Find dy dx dx by implicit differentiation. ex cos(y) = x + y

A: We have to find derivative by implicit differentiation.

Q: Let f(x) = 9x67x5. (If an answer does not exist, enter DNE.) (a) Find all critical values of f(x).…

A:

Q: What are the real roots of the function in the graph? y -7 -6 -5 -4 -3 -2 A 3 B 4- -6 - 5 4 3 2 11 0…

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Q: 4 [ (2x³ + 5x) dx with n −1 = 10 steps

A: Given question:- Find an upper bound for ET in estimating A 5 B 5/4 C 10 D 64/25

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: y 11 2 sinh ² 7x

A: Here we have to find the derivative of a function.

Q: Sketch the graph of the function below, including correct signs, x-intercepts and y- intercepts.…

A:

Q: 2. Find the absolute maximum and minimum of f(x) = 3x³9x² +5 on the interval [0, 4].

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

A:

Q: show me steps on how to get the rational equation: x-int = -2/5, 1/3, y-int 4/15, Horizontal…

A:

Q: Find the following using the table below. X f(x) f'(x) 1 2 3 4 +3+ 4 g(x) 2 g'(x) 4 1 2 -~-~ -33 1 2…

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Q: 7. Compute fa, fy, and fz. (a) (x² + y² +22)-1/2 Straight forward (b) sin-¹(xyz) Straight forward…

A: Please see the below picture for detailed solution.

Q: A The equation below gives the position s= f(t) of a body moving on a coordinate line (s in meters,…

A:

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

A:

Q: 16+² x da

A:

Q: Solve the corresponding differential equation given the general solution via elimination of…

A: need to find out the correct differential equation.

Q: Consider the integral 9 -10 Lyde dx If the integral is divergent, type an upper-case "D". Otherwise,…

A:

Q: 3. Consider f(x) = on the interval [6,14]. Verify f(x) satisfies the conditions of √x-5 the mean…

A: Suppose that a function f is continuous over a,b and that f is differentiable over a,b. Then, there…

Q: Evaluate the following indefinite integral by making the appropriate trigonometric substitution. Be…

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Q: Find the area cut out of the cylinder a² +2²=16 by the cylinder x² + y² = 16.

A: Given: x2+z2=16 and x2+y2=16.

Q: Find the local quadratic approximation of f(x) = x³ to find the approximation of 1.03³ at xo = 1,…

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Q: Stark Technologies produces and sells a internet routers per year at $p per internet router. The…

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Q: Consider the function f(x) = needed. x² x² + 4 You may use the facts that f'(x) = a. Find the…

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Q: A value of sinh x or cosh x is given. Use the definitions and the identity cosh²x - sinh²x = 1 to…

A: Given that sinhx=-125Our aim is to find the value of cschx=?

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y (a) 256 (c)…

A: Topic = Area

Q: 1) The braking distance of a vehicle is defined as the distance travelled from where the brakes are…

A: Given:  s= speed of truck d= braking distance --------------------------------------------------…

Q: y= у ха т x-1

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

Q: Problem 3. indeterminate form. Follow the directions to find the limits in non-standard -x (a) lim…

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Q: Önsider the integral 9 S² = the integral is divergent, type an upper-case "D". Otherwise, evaluate…

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

Q: Given f(x, y) = 2e¹* sin(3y) 2e4x ▼ ƒ(0, 7) = [ 2 then V

A:

Q: Suppose that f(x) = e9-18x2. (If an answer does not exist, enter DNE.) (a) Find all partition…

A: **As per our guidelines, we are supposed to answer only the first 3 subparts of a question. Since…

Q: Use linear approximation, i.e. the tangent line, to approximate 8.06 as follows. Let f(x)=√x and…

A: