Find the equation x² + y? + Dx + Ey + F = 0 of the circle that passes through the points. To verify your result, use a graphing utility to plot the points and graph the circle. (0, 0), (0, –2), (4, 0)

Q: Find the volume of the solid that results when the region enclosed by 4x 0, x = 1, and y = 0 is…

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Q: (会 lim 4x - 1 Find a. 2x + 5 lim 3x + 5 - 6x - 8 2x lim b. Evaluate + x - 12

A: a) limx→-∞4x-12x+52b) limx→-22x-6x2+x-12+limx→∞3x+56x-8

Q: Given the following matrices: 3 3 2 3 1 -3 0 4 1 A = 5 6 3 B= 1 2 C = ;C = 4 0-2 %3D %3D 3 2 -3 -1 2…

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Q: Find the absolute maximum value of f(x) = x? - 2x + 12 over the interval (0, 5]

A: find absolute maxima if it is helpful, appreciate

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: 4x + 5y = 10 x-1/5 = y+1/-4 = z-7 now make x in y form x-1/5 = y+1/-4 -4x +4 = 5y+5 4x =-5y -1 put…

Q: So what is the square units

A: Apologies for the inconvenience. The correct solution is given below: Given function is: fx=ex7 from…

Q: 4 Using the e – 8 definition of limit, prove that lim x→3 3x 1 1 2

A: To prove the limit of given function using the epsilon delta definition of limit which states that…

Q: Find the interval of convergence of the series. (3x)" n2 · 2" n=1 (Use symbolic notation and…

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Q: In what way did theorems/techniques of antidifferentiation help you find the integral of a function?

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Q: Find the area of all the regions bounded by ALL of the following: y = x, x + y = 0 and y = 2 - x².…

A: Given figure:

Q: 11. The graph below represents the graph of y = csc x. -5 -10 -5 10 True False

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Q: Let f(x) За? — Зх — 1. - f(x + h) – f(x) - Expand and simplify: h

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Q: 3 dx x² +4x+29

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: Apply some trigonometric identities, then integration by

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Q: Find the point on the sphere X+y+=4 and the point on The sphere x+y ansi- 2 Selution:-

A: To find the point on the sphere which is farthest from the given  point (1,-1,1).

Q: Answer the following True or False. Let f(x) be a continuous increasing nonnegative function. Then…

A: Let f(x) be a continuous increasing nonnegative function.Then the left endpoint Riemann sum…

Q: Evaluate the definite integral: | (и - 3)(и — 4) du

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Q: 1. The sum of two positive numbers is 10. Find these numbers if the sum of their squares is a…

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Q: Use the Integral Test to determine whether the infinite series is convergent. Σ n2 n=19 (n3 + 6) ?…

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Q: the equation z=sqrt((x^2+y^2)/2) in spherical coordinates

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Q: My For the surface given by 3 f(z,y) = x- 6r? +y-3y? %3D which of the following is true. Select one:…

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Q: Solve the following inequalities and write the solution in interval form i) 2|2x+7| +2 ≤24…

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Q: 29. Find the volume of the parallelepiped PQRS if the vectors V(PQ). V(PR), and V(PS) are,…

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Q: lim a. y 2 - y 7 + 6y 4 V 5x² - 2 lim b. V 5 (x + 3)

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Q: Find the absolute maximum value of f(a) = x2- 2x +9 over the interval [0,5] The value C for the…

A: Use derivative and integration for the following question.

Q: In Exercises 19 through 22, find the direction cosines of the vector V(P,P2) and check the answers b…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 3x-9 dx gi S Vx3-9x-3

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Q: lim a. x° + 3 6x lim b, x + 4 6х - 5

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Q: Evalua fe the integral 7) Of xy dx sübjcct to the functional relation X = at and

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Q: 1. Write z = -6+ ót in polar form. O z 6 V2 cos-+i sin 4 4 = 2/6| cos- +i sin- 4 O z = 6 /2 cos…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use a limit of Riemann sums to evaluate the definite integral. 4 | (32" + 0) dz lim n 00 Σ lim Σ %3D…

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Q: g'(t). t 10

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Q: Ex : Express the Sum o+ 2 +4+6+8 in Sigma nata tion. K = -2 %3D -2

A: First we find nth term of AP then replace k by k+3

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: The objective of the question is evaluate the vector with given magnitude and same direction vector.

Q: 7. Find A + 5B 8. Find 2A - C 9. Find 7C - 5D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 3 Evaluate: (12t3 – 12t2 + 6)dt

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Q: Find the absolute maximum value of f(x) = x2 – 2x + 18 over the interval [0, 5]

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Q: X- Sin Find d2y/dx2 without eliminating the parameter. 16) x = 1 - 10 sin t, y = 1 + 9 cos t, t n7…

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Q: For each function, determine the long run behavi x2 + 1 has | Select an answer x3 + 2 x° + 1 has…

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Q: 8. Which of the following is the solution to the equation sin? x + 3sin x - 4 = 0 0° 90° + 360k 90°…

A: Topic = Trigonometry

Q: Find the determinant of the matrix by taking the minor and cofactor of the elements in the second…

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Q: -Obtain the Cartesian equation of the curve by eliminating the parameter. 14) x = t - 3, y = t2 + 5…

A: To obtain the Cartesian equation of the given curve.

Q: Find the point on the line y = 1 – 6 that is closest to the origin. Give your answer in the form (a,…

A: We have to find a point on line which is closest to the origin.

Q: . The function y = -4 sin (3x + 6) - 1 shifts the graph 2 units to the right. True False

A: To tell whether the given function y = -4 sin (3x + 6) - 1 shifts the graph 2 units to the right or…

Q: Let u=sinx and the integrand will lead to integration by partial fraction

A: use substitution method for solving the  integral

Q: The value C for the solution of the initial value problem f'(x) = x³ – 7x + 3, given that f(0) = 0.…

A: Given problem:- The value C for the solution of the initial value problem f'(x) = x3 - 7x + 3, given…

Q: Find the Jacobian of the transformation. x = 4e sin(20), y = er cos(20) a(x, y) a(r, 0)

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Q: - 1)*dx

A: ∫02 (x-1)2dx ∫02 x2 -2x +1dx [x3/3 -x2 +x ]02 8/3 - 4+2 -0 8/3 -2 (8-6)/3 2/3

Q: Question 6 (: The indefinite integral 2+1 dx equals (a) [1/x²] In(x2 + 1) (b) [1/x]In(x² + 1) ()…

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