Find general form of the equation of the circle below. x² + y² + ax + by + c = 0 If the given is (x + 1/6)² + (y - 1/8)² = 1/2

Q: Consider the following equations. f(x)=√x + 9 g(x) Sketch the region bounded by the graphs of the…

A: To find area of the region.

Q: Evaluate f(x) = x³ +6x, (fof)(3) = ? 045 ୦୨୦ 91,395 2025

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Q: the xy-plane, centered at the origin, oriented clockwise so that the point (5,0) corresponds to t =…

A: we have to find parametrization of circle.

Q: 1. Use limits to find the derivative of the following function at the point a = -1. 1 2x + 1 f(x)= =…

A: We have to find derivative

Q: 3. Evaluate the difference quotient, limx→0 f(x+Ax)-f(x) (x+4x)=x , for f(x) = 3x² + 7x + 5.

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Q: nd the differential equation of (1-x)y'=y²

A: To out the solution of the differential equation.

Q: Write the radical expression using exponents. 9   62 9 power square root 6 to the 2 power

A: Given expression,  9 power square root 6 to the 2 power  to be written as a radical expression…

Q: Find the solution to the given differential equation s(7) dx 17 y X + cos

A: Answer and explanation is given below...

Q: Let A(z) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

A: Topic-Area bounded by curves

Q: and the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim x³ - 27…

A: Topic:- calculus

Q: Identify the domain and range anddraw their graphs.  1. F= {(x,y)|y=3-4x2} 2, H= {(x,y)|y=-√ 3-2x}…

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Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

A: As given that limx→af(g(x))=flimx→ag(x)And also we know that limx→af(x)n=limx→af(x)n, where n is a…

Q: Use the Theorem on Limits of Rational Functions to find the following limit. lim (x²-4) x--2 Select…

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Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…

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Q: The height y (in feet) of a ball thrown by a child is 1 y = 142² where x is the horizontal distance…

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Q: Vector Integration (1.35) Evaluate the line integral foly²dx + 2xdy + dz) where C connects the two…

A: Given integral is ∫C y2 dx +2x dy +dz Here, C connects the two points 0, 0, 0 and  1, 1, 1.   Part…

Q: Solve the differential equation, such that the equation passes through the given point (x, y).…

A: According to rules, I need to solve only one question.. Please repost second question

Q: Complete the table below. Assume ƒ and g are one-to-one functions. x -10 6 g(x) (fog)(x) (gof)(x) 7…

A: We have to fill up the table

Q: Find the Differential Equation for: The family of parabolas with center at origin and foci on the…

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Q: Simplify the sums: 2. 2(x²+2x+1)-2Σ₁2(+1)

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Q: Find the inverse of f(x) = 2/(x2+1) where x is greater than or equal to 1. State the domain and…

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Q: Which of the following is the differential equation of the family of circles with center at (3, 2)…

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Q: The partial fraction decomposition of where f(x) = 3 10x + 1 6x² + 17x + 5 and g(x)= = can be…

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Q: Given f(x) = 2x² - 3 and g(x)= 3x +1. Find f(-4), g(1/6), (f+g)(-1), (f- g)(4). S

A: f(x)=2x2-3 g(x)=3x+1

Q: 4. Non-calculator: Find a nonzero value for the constant k that makes f(x) continuous at x = 0: tan…

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Q: 02) Find the area of the surface generated by revolving the curve x= 4-y2, about x-axis.

A: We have to find the surface area generated by revolving the curve around x axis..

Q: Find an equation of the line that satisfies the given conditions. Through (2, 9); parallel to the…

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Q: The rate of change of annual U.S. factory sales (in billions of dollars per year) of a certain class…

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Q: 10. lim x³ +5 3 X-∞ 2x

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Q: ************* Estimate the indicated derivative by any method. (Round your answer to three decimal…

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Q: Given the function f(x) f(-2) = f(-1) f(0) f(1) f(2)= 3 Ter 8x² - 6x +3. Calculate the following…

A: We can solve this as follows:

Q: For the function below, find the intervals where the value of the function is positive, and…

A: Solution is done in step 2

Q: 2 (0² 20 0 Ans v=c₁ +c+.

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Q: b) lim (4-5 ln(x) +8e¹00-2) 14X

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Q: -2 (d) f(x) = (x²-x-²)-²

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Q: A self-driving car traveling along a straight section of road starts from rest, accelerating at 2.00…

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Q: lim 14x 2 ²-1

A: Find the limit of the following limx→11x-1-2x2-1=?

Q: f(x) = 1 1 x²¹/₂ 2

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Write the sum using sigma notation: 7 + 10 + 13 + 16 + ... + 40 = Σ B, where n=1 A = B=

A: As per our guideline we can solve only first question you can repost other question in next question

Q: 80 10x +0.5x4 8118 50+20x6x3 b) lim

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: Find the sum: 4. Guess the value of Σko (R). k=0

A: Given that ∑k=0nnkSolution :∑k=0nnk∑k=0nnCk=nC0+nC1+nC2+nC3+......+nCnwe know that…

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 7x - y= 4, 5x + y =…

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Q: sin (20) = 2 1 at are the solutions to sin (20) = - 2 in the interval 0≤0<2x? A. The solution set is…

A: Topic:- trigonometry

Q: B) Identify the coordinates of any local points, inflection points and concavity. Graph the…

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Q: f(x) 10. Suppose we know that lim x→a g(x) explanation. exists and lim g(x) = 0. Evaluate lim f(x)…

A: The limit limx→afxgx exits and limx→agx=0 we have to find the limit of limx→afx

Q: x² + x - 12 |x - 3| (a) Find the following limits. (If an answer does not exist, enter DNE.) (i) Let…

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Q: Solve

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Q: A) Find the natural domain and graph the functions for the following: 1) y = +1 2) y = tan (x-3) B)…

A: We have to solve part A,B, and C.

Q: 3 6456

A: To solve the expression