Convert the equation r= -14 sin 0 to Cartesian coordinates. Describe the resulting curve. Choose the correct equation below. OA. (x-7)² + y² = 49 OB. x² + (y-7)² = 49 OC. (x+7)² + y² = 49 OD. x² + (y+7)² = 49 The equation describes a circle. The center of the circle is. (Simplify your answer. Type an ordered pair.) The radius is (Simplify your answer.)

Q: Do the points (2,3,3), (3, 1,-2), (0, 4, 4), and (5, 1,0) lie on the same plane?

A: The given points are:A=(2, 3, 3)B=3, 1, -2C=0, 4, 4D=5, 1, 0

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Q: Use the summation formulas to rewrite the expression O O 4 8 71 72 6 8 6 S I I I + n 8 4 72 8 S…

A: 12+22+...+n2 = n(n+1)(2n+1)6. 1+2+...+n = n(n+1)2

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A: Given query is to find the interest earned.

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Q: Find dy/dx. x=tsin(t), y = t² + 5t

A: SOLUTION-

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A: Given; g(3)=2, g'(3)=3, p(x)=[g(x)]2.

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A: Solve the following

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A: Here we have to calculate the I=∫043+x dx, n=8

Q: 4. Find the equation of the plane that is perpendicular to the curve C(t) = at t = π/4.

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Q: If total costs for a commodity are given by  C(x) = 850 + 30x  and total revenues are given by  R(x)…

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Q: Identify the open intervals on which the graph below is increasing and decreasing. -5 -4 -3 -2 -1…

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Q: Could you find the equation of the graph?

A: A logarithmic graph is given and we have to find its equation.

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Q: (3) ( ) (A) Find the volume of the solid under the paraboloid z = 2x² + y² and above the rectangle…

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Q: ven the following equation of a circle in general form, find the equation in standard form by…

A: Given query is to find the standard form of circle.

Q: U. Solve the given equation 1) sec x(2 sin x-√2)=0 T Answer: x==+2nk, 4 TT ak 3π x== +2 4

A: Given query is to find the solution of the expression.

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Q: 6. f(x) 10. f(x) 12. j(x) f(x) 14. 16: Function 3. 7. 9. 11. f(x) 13. f(x) 15. f(x) 17: f(x) 15.…

A: Match the function with the graph of its derivatives.

Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. X(t) = dx dt…

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Q: (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D - 32) y = 0

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Q: the graph of the piece-wise defined function below, f(x), find the following -3 -2 ain: ge: 6 4 3 27…

A: Given query is to find domain,range and interval of increasing and decreasing.

Q: Evaluate the integral by making the given substitution. sec(52)tan (5x)dz, u = 5x + C

A: we know that   dxndx=nxn-1d(secx)dx=secxtanx

Q: b) (x + 2y - 3)dx + (2x + 4y - 9)dy = 0

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Q: Evaluate the integral by making the appropriate substitution: u = f2¹ (25 - 4) 43³dz = dx 43 fz¹ª…

A: To evaluate the integral.

Q: (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D - 32) y = 0

A: The given differential equation D2+2D6+7D5+14D4+8D3+16D2-16D-32y=0. We have to find the general…

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A: Solve the following

Q: Show that the eigenvalues of A-¹ are ¹. 27 Show that A"x = λ"x if Ax = λx.

A: Given λ is an eigenvalue of A. So there exists a nonzero vector x such that Ax=λx....(i) 1.Since A…

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Q: 2 sin 0, 3. Find a "cartesian" equation for the circle which is given by the polar equation r = and…

A: The polar equation is  r=2 sin θ

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A: The given integrals ∫02πsinx dx and ∫02πcosx dx. We have to find the value of the integrals using…

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Q: Expand the following logarithmic expression and simplify: 06 + log (y) - log (x) + log (3) O+log (y)…

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