Write the equation of a parabola whose directrix is y = - 0.75 and has a focus at (– 8, 8.75).

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A: Solve the following

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A: Given: P=1,3,-4Q=0,0,0R=4,6,1

Q: Exercises: Sketch the region bounded by the given curves, then find its area. 1. y = x², x2, 2. x = ...

A: Area of the Region between the curves : If f(x) and g(x) be two continuous function on a,b and f(x)≥...

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A: On solving this we will get:- Option (D) -12 sq. Units is correct

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Q: 2. Consider the graph of the function h given below.

A: Given graph  shown is parabola  Opening down side   

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Q: dx Evaluate: x²+ 8x + 20 x+4 A -1 tan +C B In (x²+ 8x + 20) c) None x+4 -1 D tan +C 2 x+4 E sin -1 +...

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Q: Q3

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A: Given: Sphere radius is one and four tenths feet  And also the cube's side length and sphere's diame...

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A: Substitution is done.

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Q: function f(x) = x² ose x-coordinates are -2 , 0, and 1. 2x and draw the tangent lines to the gr 10 4...

A: We will draw the graph and the tangents. 

Q: 11) Use implicit differentiation to find the slope of the tangent line to the curve at the specified...

A: We will find the slope of the tangent line of the given curve at the specified point.

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Q: Find the sum of 1, -1/2, 1/4, .... ∞. a. 3/4 b. 2/3 c. 1/7 d. 1/2

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Q: y = cot-1(4-3x2)

A: y=cot-1(4-3x2)differentiate w.r.t.xwe know that,ddx(cot-1x)=-1x2+1Therefore,dydx=-14-3x22+1ddx4-3x2d...

Q: Consider the following. u = -9i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

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Q: 1. Let f(x) = 1 – x2/3. Show that f(1) = f(-1). This means that by Rolle's the- orem there should be...

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Q: It takes  18 hours for 12 people to plant  4 hectares of rice field. In how many hours could 9 peopl...

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Q: O ) Let -2 М- -16 Find formulas for the entries of M", where n is a positive integer. M" =

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Q: Recently, the bowling scores of a certain bowler were normally distributed with mean 201 and standar...

A: We need to find probability.

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Q: ch of the following sequences. Always justify your ans 1+ncos(2m) sin n+ c - In с) а, d) а, 2n 3 n°

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Q: Jean throws a boomerang whose trajectory is given by the vector function: F(t) = +5 cos (t),20+5 sin...

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Q: Show that the functions in Exercises 21-28 have exactly one zero in the given interval. 21. f(x) = x...

A: Given problem:- Show that the functions  have exactly one zero in the given interval 21. f(x) = x4 +...

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A: Light beam

Q: Find the vector component of v = (4, – 1,7) along b = (3, 6, –6) and the vector component of v ortho...

A: We can solve the given problem as follows:

Q: S In?x dx = xln?x – 2xlnx + 2x + c %3D

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Q: Suppose that the following is true about the function f: 1. So f(x)dx 2 II. S f(x)dr = -1 II. f(x)dr...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: 2) Show that y = A cos x + Bsin x, where A and B are constants, is a general solution of the differe...

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Q: Solve using logarithmic differentiation.

A: We need to find differentiation.

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Q: 2+3i ++i Evaluate the expression 1+2i, 6-i, Express the answer in rectangular form.

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Q: /(cos0 + tan@) de cos?0 - (sec@ + tandsec²0) d0 A) True B False

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Q: Compute the total cost per year of the following pair of expenses. Then complete the​ sentence: On a...

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Q: 1. lim 3 2. lim 57 3. lim log r

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Q: Find the solution of the following differential equation by Laplace transform with itial conditions ...

A: To solve the differential equation dxdt+2x=2 by the use of Laplace form. Given information: The init...