Given the points A(-1,1,5) and B(2,5,0): a.) Find AB. b.) Find the equation of the sphere which has A as its center and B lies on its surface.

Q: Let A= Hit oK lui B- 1it Hj t Ik %3D what b looine of the role butriern vetor A and B.?

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Q: The angular velocity of a point on a circle with radius of 12 feet is 15 T radians per second. Find ...

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Q: 41. Let f(x, y, z) =x?y+ y²z. Use the Chain Rule to calculate af/as and af/at (in terms of s and f),...

A: Since f is function of x, y and z.  For partial derivative f with respect to s and t we using chain ...

Q: fcsch Icothu- pschul tc d. udu %3D

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Q: 8. Evaluate the following integral |cos (x)dx

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Q: 6. A boat is moving with a velocity of 74 km/h with a heading of 060 relative to the water. The wate...

A: Please refer to the image below 

Q: E. DIFFERENTIATION Obtain the derivative of the following functions: (2r³-1)* (5-3x)* 8. y = 9. y= V...

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Q: Whwh f fellawy vectors vckars 18 fare nt popondialar ro i 225,1,27 i <-1,5,07 Pick that apply IA-21 ...

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Q: 2x sec(5x) tan(5x) dx can be evaluated using integration by part The integral expression udv =uv the...

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Q: 1. Find fe- cos(x)dx. 2. The following improper integral converges. Compute it using part 1. e* cos(...

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Q: 13 A spoke of a wheel makes 32 revolutions while the wheel is going 425 feet. Find the diameter of ...

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Q: Consider two vector equations ℓ1 : ⟨x, y, z⟩ = ⟨3, 7, 4⟩ + t⟨2, 3, 1⟩, for some parameter t, ℓ2 : ⟨x...

A: Check the Ratio of direction ratios of both the lines. 

Q: Using logarithmic differentiation fx) = x° [2x+ 3 (x*+1)4

A: NOTE: Refresh your page if you can't see any equations. . take log on both sides

Q: The general solution of 4lnxdx- xsec?ydy= A 21n2x – tany = C B 2ln?x+ tany = C (c) 4ln?x- sec?y = C ...

A: We have to solve the question  

Q: 12x + 13x2 lim 13x3 - 7

A: limx→∞12x3+13x213x3-7=limx→∞x3(12+13x2x3)x3(13-7x3)=limx→∞(12+13x)(13-7x3)=(12+0)(13-0)=1213

Q: Suppose thatEn=1 an is an infinite series with partial sums given by SN = 10 – 30 3 3 An || e4 е30 n...

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Q: x-1 ifx1

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Q: A is an angle in standard position with T(-20, -21) on its terminal ray. Find tang 21/20 -20/21 20/2...

A: We can find the tan value as below

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Q: Evaluate the following double integral (x², coS y – sin x)dxdy.

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Q: Find an equation of the tangent line to the curve at the given point. y = 7x2 – x³, (1, 6) y = Illus...

A: Given that the equation of the curve is            y = 7x2 - x3 

Q: Find a parametrization for the line segment beginning at P,(4, - 7,- 7) and ending at P2(0, - 7,2).

A: The line segment beginning at P1&lt;4, -7, -7&gt; and ending at P2&lt;0, -7, 2&gt;  

Q: xy' =2xe* – y + 6x²

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Q: d b) [ 4e*(In x) ] dx

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Q: 5€ t10 Se tio' dt

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Q: The profit made when t units are sold, t>0, is given by P =t - 26t + 168. Determine the number of un...

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Q: 3. Sketch OP = (3, -4, -2) including the rectangular prism that frames it. Use and label the axes, i...

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Q: [ cos(z² + y°) dydz

A: Follow the procedure given below.

Q: Consider the indefinite integral r523 + 2х? — 72х-32 2x2 – 72x dx 16 - Then the integrand decomposes...

A: Evaluate definite integral ∫5x3+2x2-72x-32x2-16dx

Q: Show every details of your solution, so it would help me to understand on how it become. I NEED A VE...

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Q: Question 1 A 5 m chain with density 2 kg/m hangs off the roof of a building. How much work is requir...

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Q: Find, if possible, AB and BA. If it is not possible, explain why. -3 4 -30 61 A = B = 0 1 1056

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Q: dy Determine or y' of the following functions in terms of x. dx y = /x + JxT A. y- (++)" В. y = (x +...

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Q: Find the infinite sum (if it exists): () -1· i=0 If the sum does not exists, type DNE in the answer ...

A: Given the series is ∑i=0∞ -1·32i

Q: Y = w tan-1(uv), u = r + s, V = s + t, w = t + r when r = -1, s = 2, t = -1 1. as at ar as %3D

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Q: 3 T LL 23 rrent Attempt in Progress Find a possible formula for the function represented by the data...

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Q: Perform the indicated operation and write the result in standard form. Select all values that are co...

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Q: a) Find the center-radius form of the equation of the circle with center (4, -2) and radius 7. b) Gr...

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Q: is dropped from a tower, 576 ft above the ground. The object's height above ground x seconds after t...

A: Topic:-  algebra   

Q: Differentiate the following function. y = x-1/5 y' = %3D

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

Q: 5. Write the trigonometric expression as an algebraic expression. Show all work. sin [sin-(x) + cos-...

A: The given expression,      sinsin-1x+cos-13x

Q: Let f(x, y, z) = xy° + zª and æ st, y = st, and z = s't. (a) Calculate the primary derivatives

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Q: 3. Given the polar curves r = 1- 2 sin e and r = -4 sin 0. Do the following: a. Sketch the curves on...

A: see below the answer with the help of the graph of the function we will find the value of the angle ...

Q: the first image is what u have to find for #2

A: Topic:- geometry  Note:- as per our guideline if more than three subparts  uploaded than only first ...

Q: 1. Use the graph below to find the integer value(s) of x where the limit does not equal a finite val...

A: From the figure we can see that as x approches to 3 than function value goes to infinite.

Q: Let h(x)=f(x)g(x). If f(x)=x2−3x,g(0)=−1, and g′(0)=−4, what is h′(0)?

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Q: 29-40. Comparing growth rates Use limit methods to determine which of the two given functions grows ...

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Q: 1. Evaluate the limits. e' cos (t – 4) dt - 4 (а) lim x2 x2 – 4 e2 + 2 (b) lim x00 e2x + 100

A: Solve the following

Q: Find the DE of tge familiy of plane curves described and sketch some of its members 1. tanx-2x3y=c

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Q: find dx/dt at x = 3 if y = -5x^2-4 and dy/dt = -3. dx/dt =

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