Find an equation of the sphere whose diameter is the line segment having endpoints at (6,2, –5)

Q: Given the function: f(x,y) = 4x*y² – 10p +y , find f a. 16x'y-60xy O b. 48x°y O C. 16xy – 10y O d.…

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Q: None c) cosh x + C sinh x +C 2 sinh x +C cosh x +C

A: The given integral,      12∫ex-e-xdx

Q: Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3rVx+ 2 10 4. -…

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Q: Please answer the question below: Explain in detail which test you are using to determine…

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Q: 6. Use Laplace transforms to solve the initial value problems: (b) x" – x' – 2x = 0; x(0) = 0, x'(0)…

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Q: Question For the function f (x) given below, evaluate lim f(x) and lim f(x). X00 X-00 V2x8 + 3 f(x)…

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Q: 6.x'y 10. lim (х, у) — (0, о) 2.х* + y*

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Q: Use the first principles definition of the derivative to find f"(2) where Ax) = O a) 0.125 b) 4 c)…

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Q: Compute f'(a) using f'(a) = lim f(a + h) – f(@) or f'(a) = lim Tx) – J(d) for f(x) = 15x³, a = 2. or…

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Q: Cara tosses a pair of equally weighted coins 4000 times, and two heads appear 40 times. What is the…

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin (* + 0) in…

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Q: Question Consider the function f(x) below. Over what open interval(s) is the function decreasing and…

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Q: Q3) Evaluate triple integral y(x2-y?)dz dx dy.

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Q: Find the polar eauation for the curve represented by the given Cartesian eavation. Dy=-4x² 1.

A: We need to find polar equation.

Q: Note Answer One Question Q1 The following data is provided for the velocity of an object as a…

A: Let's find.

Q: Q3) Evaluate triple integral S(x2 -y?)dz dx dy.

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Q: Evaluate triple integral , dz dy dx.

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Q: Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of does the curve has a…

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Q: [AAN3] Find the equation of a hyperbola that has foci at (3,9), (-3,-7) and vertices (-3,-4),(-3,6).

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Q: Determine if the improper integral el/x dx x2 converges or diverges. If it converges, find its…

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Q: Convert to an equation in rectangular coordinates. r = 4 csc (0) – sec (0) (Express numbers in exact…

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Q: Question For the function given below, which statements concerning Rolle's theorem are true? 4x + 3…

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Q: Consider the solid bounded by the planes: =x+y, z=30, x=0, y=0. Determine the volume of the solid.

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Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9…

A: we will use newton backward difference formula .

Q: 5. In antidifferentiation, the formula J x" dx : + Cis valid if? (n+1) C. ne {0,1,2} A. nER 6. In…

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Q: given below, evaluate lim f(x) and lim x→-00 f(x) = -4x² + 2x +4 sin (9x) ses without bound, you…

A: We have to find the following conditions according to the given information

Q: is satisfied. Finally, to determine if Rolle's Theorem can be applied, we also need to check if the…

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Q: Suppose the demand for an item is given by the demand function,D(q)=−8q+580, where q is units sold…

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Q: Find f"(1) if fx) = x- 2x+ T. O 3n? - 2 O 31? – 1 12 - 21

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Q: Solve the D.E dy – (2x/1- y2)dx = 0

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Let's find.

Q: Q3) Evaluate triple integral f , (x2 -y²)dz dx dy.

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Q: For the function f(x) = x³ + 4x – 2 find the following. (Use C for the constant of the indefinite…

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Q: If Ax) = a(x-h)* +k, where a, h, and k are constants, find f"(). 2ax O 2(x-h) O ax+h+k 2a

A: The given function is f(x) =a(x-h)2+k,   where a, h, k are constant. We have to find f''(x) f''(x)…

Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: Q2) Solve the D.E x²dy + (3xy- 1)dx 0

A: Let's find.

Q: (-3)"(x – 2)" Vn+2 Consider the power series 1. Use Limit Comparison Test to show that the series…

A: 1.when x=53∑n=0∞ (-3)n(-3)nn+2∑n=0∞ 1n+2can be compared to∑n=0∞ 1nc=limn→∞ anbn=limn→∞ n+2nlimn→∞…

Q: Evaluate the following integral using Partial Fractions Method: x3 + x2 y = dx x² + x – 2

A: Let…

Q: 8. (5x'-4x +8x) dx

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: Evaluate r(g(t)) using the Chain Rule: r(t) = (e', e", 4), g(t) = 2t + 5 %3D r(g(t)) = ( %3D

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Q: (x² + y³ )dx – –dy = 0 The equation ху Separable 1st order ODE Exact Homogeneous Linear

A: Solving

Q: PART II. Find the derivatives of the following expression, solution must be presented. 1. x²y – ỹ =…

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Q: : / yº sech(e™mv) tanh (» ) dy 7lny Evaluate: @ -ch(7) + C None

A: Given problem:- ∫ y6 sech(e7ln(y)) tanh(e7ln(y)) dy

Q: Express the shaded area of the region shown below by double integrals of order of integration (1)…

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Q: 4 r4-y Evaluate triple integral , S S dz dy dx -2

A: We have to evaluate the triple integral  ∫-22∫x24∫04-ydz dy dx.

Q: Find the equation of the tangent line to y = 7e* at x = 3. (Use symbolic notation and fractions…

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Q: pln e" sec? e" dx In 플 Find (a).

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Q: Substitute x = 120 and y = 160 in s = x + y. (Only positive values need to be considered.) %3D 2. +…

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Q: a ) Σ-1 (-1)"-1 Zn=1 2n+1

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Q: You are conducting a test of independence for the claim that there is an association between the row…

A: We have to find expected observations for this table and chi-square test-statistic.