The vector of length (15) and in direction of Ã=i-2j-k is 15(i – 2 j– k) 15i – 30 j –15k O خیار 4 2 jya O 30 i+ 16 15 15 1 -k 16 16 16 0 خيار 1 3 Js

Q: find the eccentricity of the ellipse. Then find andgraph the ellipse’s foci and directrices. 9x2 + 1...

A: 9x2+10y2=90⇒9x2+10y290=1⇒x210+y29=1 Now comparing with x2a2+y2b2=1, we get a2=10  &  b2=9⇒a=10  ...

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Q: Find

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A: Left limit is, limx→6-fx=limx→6-cx2+3x=c62+36=36c+18

Q: Use the product rule to expand each logarithmic expression:a. log4(7 . 5)  b. log(10x).

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Q: -3x2 — 16х — 16 x + (-4) f(x) = 4x2 + 23x + 28 С, X = (-4) What value of C would make f(x) continuou...

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Q: A rifle at A is fired at a target at B. If the speed of the bullet is 1800 ft/s,determine the rectan...

A: Let θ be the angle with the x-axis Then the rectangular form will be  v=1800cosθi+1800sinθj  ft/s

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A: The function  is continuous at any point a if and only if the following conditions will satisfied, ...

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A: Given,  Circles of radius one.

Q: Evaluate

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Q: f(2 + h) – f(2) Find lim if f(x) = x² + 3. h h-0 f(2 + h) – f(2) lim (Simplify your answer.) h h-0

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Q: 2- 36 if x0 X-6 x-6 a) Select the correct choice below and, if necessary, fill in the answer box to ...

A: *The given function f(x) is,   f(x)=x2-36x+6if x<0x2-36x-6if x>0 a) The value of the limit at ...

Q: 4 3 2 1 ++x 1 2 3 4 5 6 7 8 9

A: Graph : Consider the graph on interval  on given interval 0,3 , f'(x)=0 i.e slope is zero  on given...

Q: Calc 3 Find the angle between the vectors. (Round your answer to the nearest degree.) a = ‹1, 0, 2›b...

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Q: General (NO 115X A box is formed by cutting squares from the four comers of a 5"-wide by 7"-long she...

A: Authoring guidelines**** ---------------------------------------------------------------------------...

Q: Find the volume (in units3) of the solid created after a hole of radius  a = 1  is bored down the ax...

A: Given: the radius of the cone= 9 units height of the cone=9 units the radius of the hole(cylinder)=1...

Q: Let f(æ) Find the values of æ where f'(x) = 5. x + 6 Give exact answers (not decimal approximations)...

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Q: Begin by graphing the square root function, f(x) = √x. Then use transformations of this graph to gra...

A: Graph the square root function fx=x as shown below.

Q: Solids of revolution Let R be the region bounded by y = ln x, the x-axis, and the line x = e as show...

A: Given, R be the region bounded by y = ln x, the x-axis, and the line x = e 

Q: Sketch the solid that has the given description in spherical coordinates           0 ≤   ≤ 2 , /4 ≤ ...

A: Concept: Calculus helps in understanding the changes between values that are related by a function. ...

Q: Q10) For which angle the equation A B = AxB is correct?

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Q: For the piecewise linear function, find (a) f(-4), (b) f(-2), (c) f(0), (d) f(3), and (e) f(4). 3x f...

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Q: Find the equation of the tangent and length of the tangent to the curve y= x2+1 at (1,2)

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Q: Find the smallest integer a such that the Intermediate Value Theorem guarantees that f(x) has a zero...

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Q: For the polynomial below, -3 is a zero. h(x)=3x3+5x2-18 Express h(x) as a product of linear factors.

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Q: A "rotated" square is placed on a coordinate plane and two adjacent corners of the square are locate...

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Q: Use the limit definition to compute the derivative of the function f(x) = 3x- at x = 5. (Use symboli...

A: Given: fx=3x-1   and use the limit definition to compute the derivative of the given function at x=5...

Q: show that the differential forms in the integrals are exact. Then evaluate the integrals.

A: Given: ∫(1,0,0)(0,1,1)sinycosxdx + cosysinxdy+dz To Show: (a). Differential forms in the integral ar...

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Q: Calculate question 2

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Q: Evaluate the integral ∮C 4x3y dx + x4 dy for any closed path C.

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Q: 0 2 46 8 10 12 f(x) x = = 15 18 19 1814 10 6 A. Estimate f'(2) using the values of f in the table. f...

A: (A) Let the given table is, x= 0 2 4 6 8 10 12 f(x)= 15 18 19 18 14 10 6 The estimated v...

Q: The derivative of: x S sqrt(t^3+64)dt = f(x) -4 using the fundamental theory of calculus. Show as ma...

A: Given: We have  ∫-4xt3+64  dt =f(x) We have to find the derivative of f(x) with respective x.    

Q: #1   Thank you!

A: Given: The function y=f(x)=3-4-x2,             Interval: [-2,2]             Integral:  ∫-22[3-4-x2]d...

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A: An algebraic expression is simplified when parentheses have been removed and like terms have been co...

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Q: Limit proofs Use an appropriate limit definition to prove the following limits. x? - 25 lim xS5 x - ...

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Q: Evaluating a double integral Express the integral ∫∫R 2x2y dA as an iteratedintegral, where R is the...

A: f(x, y)=2x2y R is the region bounded by parabolas y=3x2 and y=16-x2   To find: ∫∫Rf(x, y) dAi.e ∫∫R2...

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Q: cos e - 1 lim 8-0 e" - 0 - 1

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Q: Use the vertical line test to identify graphs in which y is a function of x.

A: The given graph is  

Q: 1B.

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