Write the equation of the sphere in standard form. x² + y² + z² + 4x − 6y - 6z = 3 Find its center and radius. center radius (x, y, z) =

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A: Given query is to to find the graph and the limits which exists.

Q: Use the Chain Rule to find the indicated partial derivatives. Z x² + x²y₁ x = s + 2t - u, y = stu²;…

A: NOTE: Refresh your page if you can't see any equations. .

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Q: The differential equation −3xy² + 6xy + (−3x²y + 3x² + 1) = 0 dy dx Has solutions of form F(x, y) =…

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Q: the parametric equation of the line through the point (1,-1,5) and perpendicular to the plane…

A: To find the parametric equation

Q: X and Use the shell method to find the volume of the solid generated by revolving the region bounded…

A: given  y=2x , y=-x2 and x=3 about y axis formula for volume is V=∫ab2πx(f(x)-g(x))dx∫xndx=xn+1n+1+c…

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Q: Given the following approximation (1−2x)1/3 ≈ 1 − 2/3 x − 4/9 x2 , find the approximate value of…

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Q: Using derivative rules (NOT definition of the derivative), prove that (secx)' = sec x tan x. Hint:…

A: We have to prove that secx'=secx·tanx, by using the derivative rule without using the definition of…

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Q: Evaluate the function f(x) at the given numbers (correct to six decimal places). f(x) = x² - 8x…

A: The function is given as , fx=x2-8xx2-x-56

Q: Use differentials to estimate the amount of metal (in cm³) in a closed cylindrical can that is 22 cm…

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Q: Find the differential of the function f(x, y) = 3x√y at the point (3, 1) using Ax = -0.3 and Ay =…

A: Given f( x , y ) = 3xy∆x = -0.3∆y = -0.1

Q: Solve differential equation. You may leave your answer in implicit form. dy dy 2x³ey + +y =…

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Q: What is the range of the function? y=log_(5)(x-1)

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Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: Suppose u and v are functions of x that are differentiable at x = 0 and that u(0) = − 6, u' (0) = −…

A: Answer: As per the guidelines we can solve only first three subparts, so post other parts…

Q: Find the derivative of f (t) = (6t³ – 2t². fl (t) = +1) 45. 囡囡

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Q: Using the limit definition of the derivative, find every value x where the function y = 1/ √x has a…

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Q: K Given f(x) = 17x³ cos x, find f'(x). f'(x) =

A: The objective is to find the derivative of f(x).

Q: Find the acceleration of the specified object. A boat is pulled into a dock by means of a winch 24…

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Q: J sec² (dx

A: To evaluate the given integral.

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Q: Solve the equation. Make sure to check for extraneous solutions A) 4x^2-5= 2^9x+1 B) 3^x= 9^-x+5…

A: see below the answer and calculation

Q: 3. A horizontal line through the point (4, 6) is defined by which equation? Ο Α r = 4 OB. x 6 Ocy 4…

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Q: neay aesancocer Find the area bounded by the given curves. y = x4 and y = x² +4

A: Topic - Area between curves We are given curves y=x4  and y=x7

Q: Find the sum of the series below. 8 W 0-1 64η (2η - 1)2(2n + 1)2

A: Given :∑n=1∞64n2n-122n+12

Q: Give the exponential form of the equation. f(x)=log_(4)(x-3)+5 y=4^((x+3))-5 y=4^((x-5))+3…

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Q: How fast is the tomato travelling when it hits the ground? units: feet per second ✓ OF Question…

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Q: 2 (In x)² x3 da

A: Introduction: The definite integral of any function can be expressed either as the limit of a sum…

Q: True/False: Please write functions that prove or disprove a), b), and c). x-3 a) A function of the…

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Q: Estimate the area under the graph of the function f(x)=√x + 6 from x = -3 to x = 4 using a Riemann…

A: We need to find out the area under the graph of the function for the given function by using a…

Q: Find parametric equations for the line. (Use the parameter t.) the line through (-8, 2, 7) and…

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Q: 131+232+333+434+535+.... Francine correctly applies the ratio test to determine whether the series…

A: Given query is to find correct results of the ratio test.

Q: Write out the form of the partial fraction decomposition values of the coefficients. (a) A X (b) *4…

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

Q: Which one of the following is true about the function 2x²-x-15 4x² + 10x f(x) = = Non-Removable…

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Q: Here is a way we can estimate the distance from the earth to the moon. When the moon is seen at its…

A: Here is a way we can estimate the distance from the earth to the  moon. When the moon is seen at its…

Q: Flores bought 5 pounds of chicken. He cooked 1 pound for dinner. What fraction did he cook? and what…

A: Given query is to find the fraction of chicken cooked and fraction left.

Q: Əw du aw expressing w directly in terms of u and v before differentiating. Then evaluate and ди Əv…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Sketch of the region: It is forming a disc. So disc method is used.

Q: Sketch the trace y = 0 for the surface x² - 4y² - z² = 4. Label your axes and plot any intercepts…

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Q: K Use the formula for instantaneous rate of change, approximating the limit by using smaller and…

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Q: dz Find au du and dv when u = when u = |u= In 2, v=¯ π v = ln 2, In 2, v = 2 =(Simplify your…

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Q: Q.#7 Source: Stewart Ed. 8, adapted from P. Wilkinson et al. The average blood alcohol concentration…

A: We have given value of c(t).

Q: A graphing calculator is recommended. Use technology to sketch the graph of the function and find…

A: The given function fx=61+e1x. We have to sketch the graph of the function and find the limits…

Q: For the demand function D(p), complete the following. 5400 Р (a) Find the elasticity of demand. E(p)…

A: Solution: Let q=D(p)=5400p

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Q: a) Test the convergence of the series (1+x)³ = 1+ 0.5 n=1 b) Given the function f(x) = (1+x)³. i.…

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Q: K For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: The answer is not clear

A: we need to differentiate the function.