- 5.75 and has a focus at Write the equation of a parabola whose directrix is x = 0.25, 1).

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Q: Given the curve y = x² – 2 and line x = y. 1. Compute the area bounded.  a. 3.2 sq. units b. 2.6 sq....

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Q3

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Q: L:x = 2 – t, y = 3 + 4t, L2: x = 4t, y = 1 – 16t, z = 4 – 8t z = 4 + 2t

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Q: up 4+y 10 -b -8 -7 -6 -5 -4 -3 -2 -1 3 4 5 6 7 8 10 -2 3 -4 -6- Give the equation for the ellipse gr...

A: We can find the equation of ellipse from the graph as below.

Q: what is the maximum of the function g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 over the region 0 ≤ x ≤ ...

A: The given function gx, y=x2+y-112+x+y2-72 over the region 0≤x≤5 and 0≤y≤5. The required partial deri...

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

A: Given,            The equation of the curves are y=x2 and y=2x.To find : Find its area.

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Q: (2y – 3x)dx +xdy = 0 %3D

A: Find your answer below 

Q: How did he define the terms from 0 to 2n 「<Yとe OL9 と 27 ずeno) opepe [g O =0 =1 " lnT dr do 27 e

A: x2+y2=r2 is the equation of the circle with radius r To cover a  area of circle of radius r, Rotatin...

Q: x+2 3. Use derivatives to determine where is the function f(x) = x²-4 is increasing and decreasing. ...

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Q: 2n +1 Σ n n tan-1 n n=1

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Q: Consider the given function and the given interval. f(x) = 5/x, [0, 4] (a) Find the average value fa...

A: The objective is to solve the above question.

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Q: Set up an integral representing the area A of the region enclosed by the given curves. x = y*, x = 2...

A: Explained below 

Q: Sketch the region bounded by the given curves, then find its area. x = y^2, x = y + 6

A: The graph is shown below in which the chex region represent the area.

Q: Find the area of the region.

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Q: Solve the following problems. Show complete solutions. 1. S sin° (2æ) cos (2æ)dæ

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Q: Find the area bounded by y = 2 -x squared and y = x A 9/2 7/2 5/2 3/2

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Q: 21. |'t cosh t dt Jo

A: Note:- These are multiple question and according to our company guideline we can do maximum one ques...

Q: (In x)²dx

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: EValuate:- (sin?G coszoldo

A: On solving this we will get:-

Q: 6) Find a) given: y=-+ (3x' +27) (use product rule) 2x² +5 given : y = b) (use quotient rule) 3x-4

A: Since you have posted multiple questions i can do first question (with both subparts)as per our comp...

Q: An object is released from rest, at a height of 1250 feet above the ground. The height of the object...

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: What are thr genereal solutions of the following? a) y^2 dx + (x^2 + 3xy + 4y^2)dy=0

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Q: (3x – 1)" 5" /n +1' Find the radius and interval of convergence of the power series n=1

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Q: e^-3(t-3)-e^-3(t-5)=?

A: Solution is given below:

Q: Obtain the solution to the following differential equations: 1. y'+3y=e", y(0)=4

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: (a) Oppositely directed to v = (9, – 18) and half the length of v. w =|(?,?) (b) Length 5 and same d...

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Q: Let a = ci + jand b = 12i + 9j. Find c so that the angle between a and b is- 6' Round your answers t...

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Q: Vaix+ Vqx dx

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Q: 1 is divergent. all n, then n=1

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Q: For the function f(x)= -3x + 9 and g(x) = 4x - 1, find fg(2)

A: The composite function is created when one function substituted into another function .             ...

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: planes - parametric equation

Q: S csc4 5x cot 5æ dæ

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Q: Find the root mean square of y=1/x in the interval [1,3]. Round to the nearest hundredth. RMS

A: Given query is to find RMS.

Q: n. 2n + 1 Σ n tan -1 n n=1

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Q: Consider the following planes. 5x + 2y - z = 44 X - 4y + 2z = 0 (a) Find the angle between the two p...

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Q: Given f(x) = 4x² – 9 and g(x) = 2x³ + 3x², and that h(x) g(x) determine h(f(x)). S(x)' %3D

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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.

Q: x sec(em) tan(enx) dx= sec x2 tan x2 dx A) True B) False

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Q: (Зл — 1)" 5n /n +1 n=1

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Q: solve the integral: integral from negative infinity to positive infinity [ (1)/(4x2 + 4x + 5) ] dx

A: The given integral is ∫-∞∞14x2+4x+5dx we find the value of the integral using proper substitution.

Q: (b) Oppositely directed to 6i – 4j + 2k. 6 i v = V56 2 k + V56 V56 (c) Same direction as the vector ...

A: Given problem:- Find unit vectors that satisfy the stated conditions. (b) Oppositely directed to 6i-...

Q: Differentiate each function with respect to x. 2. y = (-3x5+ 1)3 3. y = (-5x3 – 3)3 4. y = (3x3 + 1)...

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