Find a polynomich of Jegree 4 with Zeros x = 1₁ x=2, and x=i.

Q: Question 4 Solve the rational inequality 2x²-8x+15 xâ45241 ≤0, using a factor table.

A: Given :2x2-8x+15x2+5x+4≤0

Q: Verify the identity. sin 5x √√2 (sin x- cos x) Write the left side in terms of a sum or difference…

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Q: 8. Evaluate the integral x-4 g2 -5x+6 dx

A: Topic:- application of integration   Note :- as per our guideline if more than one question uploaded…

Q: Determine if the differential equation (3x2y + ey)dx +(x3 + xey - 2y)dy = 0 is or is not exact; if…

A: Given problem:- Determine if the differential equation (3x2 y + ey )dx +(x3 + xey - 2y)dy = 0 is or…

Q: Find dy/dx and d²y/dx2, and find the slope and concavity (if possible) at the given value of the…

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Q: Find the general solution of the differential equation y(4) - 4y" = t² +e².

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Q: Find the inflection points of f(x) = 3x4 + 17x³9x² + 4. (Give your answers as a comma separated…

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Q: 11. The base is the semicircle y = √√9-x2, where -3 ≤ x ≤ 3. The cross sections perpendicular to the…

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Q: Problem 5. Find the absolute maximum and absolute minimum values of the function over each of the…

A: Here we have to find the absolute maximum and absolute minimum.

Q: Transform the given polar equation r = sectan to rectangular coordinate.

A: This question is related to coordinate systems, we will solve it using given information.

Q: To find the distance between a point X and an inaccessible point Z, a line segment XY is…

A: Given   In △XYZm∠Y=34°,18'm∠Z=94°,48'and z=961 m

Q: 5. Evaluate the integral. (Use C for the constant of integration.) sin³ (y)cos (y)dy

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Q: if x - 3 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let f(x)…

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Q: ve the following: y' - x³y² = 4x³, y(0) 4x³, y(0) = 2.

A: We will solve the differential equation

Q: In Exercises 1-12, sketch the graph described by the following cylin- drical coordinates in…

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Use the Law of Sines to solve the triangle. Round your answers to two decimal places. C = O a = b= A…

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Q: Find the general solution of the differential equation. y (4) - y = 8t+cost. NOTE: Use C₁, C2, C3,…

A: We need to solve D.E.

Q: Σ k=0 (-1) k 5k + 9 The number of terms that must be summed is (Round up to the nearest integer as…

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Q: 2. Provide an example of two different rational functions so that: f(x) represents a rational…

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Q: 3 Factor (x + 7)³ + (− 3x + 1)³. Show all your work.

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Q: Find the extrema and possible points of inflection (if any exist) of f(x)- In x X

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Q: Let C(x) be the cost function of producing x numbers of cycles by a company. Which one of the…

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Q: Match the possible graph for the function f with the specified properties: (i) the domain of f is…

A: The domain of a function y= f (x) is the set of all possible values of x for which is defined. By…

Q: Q2: Find the surface area generated by rotating for y = x² - ln(x) for x = [1, 2] about the y-axis.

A: We need to find Surface area.

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

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Q: 5) Evaluate the given expression without the aid of a calculator tan[arcsin( +1 x+ 6 --)]

A: We have to evaluate the given expression without the aid of a calculator.

Q: S √x XHI хр

A: the solution is given in step2

Q: Find the vector component of v = (4,-1,7) along b = (4,4,-7) and the vector component of v…

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Q: 1. -5 cosh x 3 2+3sinh x dx

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Q: Professor Calderon wants to build a rectangular fence along a pond so his dogs can go for a swim; he…

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Q: The liquid base of an ice cream has an initial temperature of 85°C before it is placed in a freezer…

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Q: f(x) = In (x) + In (25-x²), (0,5)

A: 1st derivative test

Q: Consider the points A(3,-1, 3), B(4, -3,0), C(-2, -2,0), and D(6, 3,-5). (a) Find the volume of the…

A: Let's solve for volume and distance between point and plane.

Q: Write the quadratic function in the form f(x)=(x-4)²+k Then, give the vertex of its graph.…

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Q: 12. Solve the problem with given initial value. y’’-6y’+9y=0, y(0)=0,  y’(0)=2 theme: repeated…

A: To find out the solution.

Q: A woman is on a lake in a rowboat located 1 mi from the closest point P of a straight shoreline (see…

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Q: problem for x as a function of t. Solve the initial-value dx (t² − 10t + 21) = 1, (t > 7, x(9) = 0)…

A: The given equation is;  (t2-10t+21)dx/dt =1 (t>7, x(9)=0)

Q: Find the equation of a straight line perpendicular to the tangent line of the parabola y=x2+1 at x =…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: we need to find out the vector vector in same direction and in opposite to the direction of the…

Q: Find the critical points and the intervals on which the function f(x) = (x³ - 2x) e* + 8 is…

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Q: In each of the problems, apply the method of reduction of order to find a second solution of the…

A: We have to solve given Questions.

Q: (c) (i) Show that the equation (3x²y²-10xy²)dx + (2x³y-10x²y)dy = 0 is an exact equation. (ii) Then,…

A: We need to show that the given differential equation is exact and also we need to find out the…

Q: Solve the following system of equations.  2w + x + y+ 2z = −9 w − x + y+ 2z = 1 2w+ x+ 2y − 3z =…

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Q: An open-top storage box with a square base has a capacity of 32 m². Find the dimensions that will…

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Q: 2. Determine the parent function and equation of the transformed function of the graph shown below.…

A: Let's find function equation.

Q: Find the x-coordinate of the centroid of the area bounded by y(x² - 9) = 1, y = 0, x = (Round the…

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Q: Integrate 4xdx Saxax 3√2x² +3

A: This question is based on solution of indefinite integral by substitution method.

Q: +∞ Σ n=1 (x + 1)n η n? + 1]

A: Given: an=x+1n3nn2+1 Now,           limn→∞an+1an=limn→∞x+1n+13n+1n+12+1x+1n3nn2+1…

Q: Find the missing values by solving the parallelogram shown in the figure. (The lengths of the…

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Q: (b) ^ / dx a² I

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