What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and one end of its latus rectum is at 15 3 (-) y²-14y + 11x + 60 = 0 Option 1 y²-14y + 11x - 60 = 0 Option 3 y²-14y - 11x - 60 = 0 Option 2 y² 11y + 14x + 60 = 0 Option 4

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A: We have to  find the solutions

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A: ∫252x2-3xdx

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A: We can find the required as answer as below.

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A: We have to evaluate

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A: The answer is given below:

Q: 9. Name the polar coordinates of the point graphed below. 플 S ㅍ 3π 10 -0

A: one radial line show one unit radius here point is at 4 number so point is (4,π/3)

Q: Answer 2

A: Please refer to the image below

Q: 1. The Maximum point of y = (x²+2x+10) (x-3)

A: Find out the maximum point.

Q: 23/ Solve the following. Choose two only. 1. lim x lnx³ X-0 2. lim x sin(1/x) 848

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Q: 5. Given z = arctan (), Find əz/ay

A: We can answer the question as below.

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Q: 13. Convert the rectangular equation to polar form. 1+1=2

A: x2 + y2 = 25 is compare with r2cos2θ + r2sin2θ = r2 so here r = 5 tanθ = x/y tanθ= 1 θ= π/4 so the…

Q: . Find the centroid of the solid generated by the area bounded by y = sin x and the lines x = 0; x =…

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Q: 0.7 Estimate f(x) dx from the graph off as 0 shown in figure. Use the trapezoidal rule. Click here…

A: This question can be solved using the formula of trapezoidal rule of approximation of definite…

Q: The solution set of 12x +21>4 (-∞, -4) U (1, ∞ ) .A O (-∞, -5) U (1, ∞ ) .B (-∞, -3) U (1, ∞ ) .CO…

A: Topic = Inequality Correct option = C

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Q: Find whether the series diverges or converges. Σε 1a α1/2 α=1 +∞

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Q: The measure of the side of a square is 7 units, with a possible error of 0.02 unit. Estimate the…

A: As we know the area of the square is: A=a2 Where a is the side of the square.   Given: a=7 units,…

Q: The Critical Point of y = xe*

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A: We need to evaluate the value of the following limit limx→12-x-xx-1

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A: Homogeneous function

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Q: limx→∞ x - 3 x + 1 2

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Q: Lim (112²x - 21²) (sin²x x-0

A: I am attaching image so that you understand each and every step.

Q: Consider a function f whose domain is the interval [a, b]. Show that if |f(x) − f(y)| ≤ (x − y)²,…

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A: We have to find the maximum and minimum.

Q: (Differential Equations) A thermometer is taken from an inside room to the outside, where the air…

A: It is given that A thermometer is taken from an inside room to the outside, where the air…

Q: A. Determine whether each integral is improper. If it is improper, give your justification. dx 2.

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Q: Find x-3) 2/2 lim 1+x0x+ O limit does not exist O e^-2 O e^-4 0-2 O-4 O Other:

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A: Here we have to determine the true and false statements.

Q: . For questions and Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering student…

A: This is a problem related to differential equation. Based on the newton's law of cooling we will…

Q: 5. Given z = arctan (), Find az/ay

A: We can find the partial derivative wrt y as below.

Q: II. Solve the following problems. Enclose final answer. 9. A gutter with trapezoidal cross section…

A: Concept: Area of the base of the trapezoid =12(sum of its opposite sides)×height We know that the…

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Q: Which of the following statements is an exponential function? A y=14x+2 (B) y=(6x)² Ⓒ y=(2x+5)3…

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Q: The solution set of 1-2x +21=4 {-1,5) AO {-1,2} BO {-1,6} .CO {-1,3} .D O

A: We have to find solution

Q: 4. Consider the sequence {n} (a) Write out the first five terms of the sequence (b) Determine…

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Q: Evaluate the following indefinite integral using Partial Fractions S x² +4 (x²+4x+3)(x-2) dx

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 4 4. Lim - x 0 Arctanx.

A: Given :limx→01x-1arctanx

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Q: 5. S Evaluate the integral, if it exists. du √u - 2u² Ա

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Q: Find ²2 of z = In(xy) 8²y

A: Given: z=lnxy   As we know that; The Power law; ddxxn=nxn-1 The Chain Rule: fgx'=f'gx·g'x And…

Q: y = x² - 6x² + 8x and y = x² - 4x. 2. Find the area bounded by the two curves y:

A: