Find the standard form for the equ of a circle (xh)² + (y - k)² = 7² with a diameter that has endpoints ( – 6, 6) and (1, — 9).

Q: Find the volume of a solid bounded by the paraboloid z² + y² = 4x and the plane x = 5

A: Given Data: Equation of Paraboloid: z2+y2=4x  ........... (1) Plane x=5

Q: if f(x)=√x−3 and g(u)=e^u=e^u+3 (a). find (f o g)(u) (b). find (g o f)(x)

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Q: Explain how each of the following features relates to a function's derivatives and curve sketching.…

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Q: 4) Evalvate the integral E 4 1+x² dx

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Q: Use the slider to graph the standard position angle, then convert the degree to radians. Degree…

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Q: Find all values c such that lim x-2 2c²x 5c +1 x²-3x + 2 - exists. (a real number)

A: We say a limit exists if right hand limit and left hand limits are same. We have…

Q: Use property 8 to estimate the value of the integral 1,12 15/0 - 58 a dx.

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Q: From the top of a 237-ft lighthouse, the angle of depression to a ship in the ocean is 25°. How far…

A: Concept: Angle of depression: The term "angle of depression" refers to the angle created when an…

Q: For the pair of functions f(x) and g(x), find f(g(x)), g(f(x)), and f(f(x)). f(x) = x³ g(x) = 4x - 1…

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Q: Given f(n) sketch a) f'(n) -1 b) F"(x) f(x)

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Q: 21 21 18 If ²¹ f(x) dx = 3.4, and 2¹ f(x) dx = 10.5, then 5,1³ f(x) dx 18

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Q: State the derivative. Do not simplify. f(x) = sin(ln(x))

A: To find the derivative of the function f(x).

Q: Find a³f əyəx² a³f dy əx² O a³f əy əx² O a³f dy əx² O a³f əyəx² for f(x, y) = exy =2rety + exy +…

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Q: Write an inequality relating to for n ≥ 1. -n 1 n² n² (Express numbers in exact form. Use symbolic…

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Q: A small business can produce a maximum of 43 of its product per month and sell them for $7 each. The…

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Q: • [F(x) dx (a) Given f(x) dx = 7 and (b) (c) (d) [²² [[9 L²90 [f(x) + g(x)] dx [²² [g(x) = f(x)] dx…

A: ∫29f(x)dx=7∫29g(x)dx=-3rule:∫abcf(x)dx=c∫abf(x)dx  , where c…

Q: Find the limit L. Then use the - definition to prove that the limit is L. lim √√x x →0 L = Use the -…

A: To find the given limit L. Then by using ε‐δ definition to prove that the limit is L.limx→0 x3

Q: Complete the following. (a) The graph of y=f(x) is shown. Draw the graph of y=-f(x+4). -8 -6 -4 -2…

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Q: ) L(3.98) where L(x) is the linearization of y = √√x +3 at x = 1 (tangent line approximation)

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Q: List the transformation in the appropriate order of how to make a graph of y=-4f(1/5(x-1))-3 from…

A: Transformation rules for functions:-(i) if we transform f(x) to f(x-a)⇒we have to apply horizontal…

Q: Convert the angle 2 - from radians to degrees. 3"

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Q: 14. Solve each of the following equations. (a) 2 cos(2x) = 0 over [0, 1].

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Q: An arc of length 19 meters subtends a central angle of 294° in a circle. a) Find the circumference…

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Q: Find the general solution of the differential equation 2(2x2+y2)dx - xydy = 0. Let x= vy.

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Q: luate ΣΙ 72=0 72 1 1+x2 dx

A: Given series ∑n=0∞∫nn+111+x2dx which can be written as ∫00+111+x2dx+∫11+111+x2dx+.......+∫..∞11+x2dx

Q: g. What is the range of f(x)?

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Q: Find the volume, V, of revolution about the x-axis for the region under the graph of f(x) = e¯* over…

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Q: 1. S e²x dx √25-4e4x

A: I=∫e2xdx25-4e4x This can be written as: I=∫e2xdx51-425e4x I=∫e2xdx51-25e2x2

Q: Find/simply the following. Please show your work. (a) e In t

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1. Solve the following complex roots and plot the solutions if

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

Q: A fruit stand down in Oregon sells crispy red apples for $2.30 each and imported oranges from…

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Q: (11) Frawate the indefinite integral J 7sin ³x cos x dx

A: To evaluate the given integral.

Q: The value of the limit A = lim n-x is equal to the area below the graph of a function f(x) on an…

A: Given function limn→∞∑i=1nπ4ntaniπ4n

Q: Evaluate: -2 3 1 3 4 5 10 1 - 24 1 1 05

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Q: (A) Find plane equation through points (2,4,5),(1,5,7) and (-1,6,8) and then find the area of the…

A: Given Coordinates of point = (2,4,5) , (1,5,7) ,(-1,6,8) We want to find equation of plane and area…

Q: What position vector is equal to the vector from (4.-3. - 2) to (-5, -8,7)? The position vector is…

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Q: 3) Erawate the definite Integral Јц (12x2-4х +3 )dx

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Q: Compute and sketch the vector assigned to the points P = (0, 8, 8) and Q = (7, 1, 0) by the vector…

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Q: solve the differential equation

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Q: if F(x)=cos√x^2+2, find two functions f and g such that F(x)=(f o g)(x).

A: This question is based on the composition of functions

Q: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

A: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

Q: Q6A A-Graph the cubic shape formed by connecting the eight points {(0,0,0),(0,1,0),(2,0,0),…

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Q: Find the unit vectors that are parallel to the tangent line to the parabola y = x² at the point (5,…

A: Given: y=x2 at the point (5,25)

Q: (2) Evaluate the definite integral ₂ |x|dx.

A: Concept: Definite integral: The region beneath a curve between two set limits is a definite…

Q: 2. f (cos 5x −sin 5x) dx cos²5x

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Q: Solve the differential equation. g'(x) = 18x², g(0) g(0) = -4 g(x) =

A: The differential equation is given by g'x = 18x2 The initial condition is, g0 = -4 To evaluate: The…

Q: X Ex (3) where does the function f (2)=-₂ x² + y Answer: where y = ax² Ex (4) where does the…

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Q: Does the sequence an converge or diverge?  Find the limit if the sequence is convergent.…

A: Calculus

Q: F(W) = + [TS(W-5) + 3 (W-5) +TS(W+5) + = 1/2 [717 S(W_S) + TS(W+S) + = [TT-S (W-S) + -S(W-5) + πTS…

A: The term in the circle is wrong. I have showed the correct term which should come after simplifying.

Q: 4. Which of the following functions has the largest period? a. f(x) b. f(x) c. f(x) = = = sin(2x…

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