1. Using the general form of a circle, find the equation of the circle that passes through the points (-3,-1), (2, 4), (-6, 8). Write your answer in standard form. Find the center and radius of the circle.

Q: C. Solve the given differential equation by undetermined coefficients. 1. y" + 6y +9y=-xe4 2. y(4)…

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Q: valuate the integral using the Trigonometric Substitution metho x² (81-x²)3/²2 dx

A: Topic:- application of integration

Q: Find the vector v with the given magnitude and the same direction as u. Direction u = (-6, 4, 0) V =…

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Q: i. mation to answer the next question Two functions are shown. y = f(z) is the function on the left…

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Q: (x - y) (4x + y) dx + x(5x - y) dy = 0.

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Q: -2x+1 if x0 f(0) = (0, -1) (d) Graph the function below. (b) f(-1) 2 f(-1) = -2(-1)+1 ¥(-1)=3 (-13)

A: for all negative numbers in the domain of given function we plot the function f(x)=-2x+1 for x=0 we…

Q: Example: Determine the volume of the solid that bounded by the parabolic cylinders y-x2 and x-y2 and…

A: Given: we have to find the volume of solid that bounded by the curve y=x2 and x=y2 and plane z=0 and…

Q: Find a Cartesian equation for the curve described by the given polar equation. r = 9sin 8 Select the…

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Q: etermine the Option 1: Option 2: Option 3: Option 4: Option 1 ue of ea 4x²-23x + 21 x² - 4x + 3 S of…

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Q: If $3,000 is invested at 10% compounded continuously, what is the balance after 9 years? $7,378.79…

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Q: Express the transform of the given expression in terms of s and (f). 6y'' +5y', f(0) = 0, f'(0) = 0…

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Q: Given A = {1, 3, 6, 8, 9, 12, 15) and B = {6, 9, 12), which is TRUE? B is the complement of A ANB=0…

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Q: Integrate: S dx sin ³x cos6x

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 9) Radius:…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 8e* - 12 y(x) =

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Q: Consider the function below. x² - 6xy² + y³ = 5 (a) Differentiate with respect to x (y is a function…

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Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A: Please refer to the image below

Q: 10. Find the critical points of the following function. Use the Second Derivative test to determine…

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Q: Question 4 Which statement below is the equivalent rewrite of logg 216 = 3?

A: Question no. 4,Given,           log6216=3

Q: Evaluate ff sin(9x² + 4y²) dA, over the region in the first quadrant by the ellipse 9x² + 4y² = 1.

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Q: From a class of 12 boys and 10 girls a committee of 3 people is selected. How many different…

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Q: A large tank is partially filled with 100 gallons of fluid in which 30 pounds of salt is dissolved.…

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Q: For each of the following, write one integral or a sum of integrals that equal the given expression.…

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Q: Find the definite integral of 16- -π/6 Option 1: Option 2: Option 3: Option 4: Option 1 Option 2…

A: I have stated the used formulas in the solution.

Q: b) Given f(x) = 2x³6x² + 5 i. Find the coordinates of all extrema. ii. Identify the extrema found in…

A: We need to solve extrema problem.

Q: 16. I. g has a jump essential discontinuity at z = 1. II. g has an infinite essential discontinuity…

A: We need to determine discontinuity.

Q: The weight (in kilograms) of a certain species of animal can be predicted by W(t) = 508.2…

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Q: uppose Jesse deposits $500 every month for 30 years into an IRA earning ompounded monthly. What…

A: Topic:- algebra

Q: Find an explicit solution of the given initial-value problem. dx = = 6(x² +1), x(1) = = 1 dt x = tan…

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Q: Evaluate csc² √2x √x [³ dx.

A: Given data:- ∫csc22xxdx

Q: Compute √√7, using Newton-Raphson method, Starting from (Xo = 1.5) (take an accuracy 5D places)

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Q: Find the definite integral of ³ Option 1: 4 Option 2: Option 3: Option 4: Option 1 Option 2 Option 3…

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Q: The equation of the tangent line to f(x) = In x at x = 1 is O y = x - 1 O y = x O x = 1

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Q: Use the above formula to find the distance from the point to the given line. (5, 3, -3); x = 1 + t,…

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Q: Answer true or false. The function f(t) = (e) 10 is of exponential order. O True O False

A: The objective of the question is checking the given function is exponential order or not .

Q: a) Find the derivative of each of the following functions. Write the derivative in proper form,…

A: The given functions, i) fx=5x2e3x+5ii) fx=ln x7x+23iii) gx=2x3-9x-2+7x5

Q: Find critical values of the function. If they exist confirm all max/min or IP. Must show sign chart…

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Q: Prove that .. ICOS 55 577 3 Cos БП [Cos 4 isin STT 3 57 + i sin S11114 = ~1 6 G +

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Q: 100 t/min -6 ft As shown in the above picture, a 6 foot tall man is standing on a beach at night. He…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

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Q: 18. The volume of the solid that lies between the paraboloid z = 2x² + 2y² and the plane z = 6

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Q: Determine if the following statement is true or false. Justify the answer. If a finite set S of…

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Q: 1. [D³ – 6D² + 11 D - 6) y = cos x sin x

A: To find solution of differential equation

Q: Use the Quotient Rule to find the derivative of the function. g(x) 3 sin x et g'(x) = 3e³cos(x) - 3e…

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Q: f(x) = x²-3x-4 x-2 alculate: Intervals where the function increases and decreases Relative maxima…

A: Topic:- application of derivatives

Q: Analyze the following equation and graph it. 36 9-8 sin 9 r= Identify the conic that the polar…

A: Solution is given below:

Q: 8. Compute the directional derivative of the following function at the given point P in the…

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Q: Two cars are moving towards an intersection. One car is 160 meters north of the intersection and…

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: i dont understand part b

A: Part b is similar to part a  In first part algebraic equations and in second part trigonometric…