At how many point(s) does the helix with vector equation r(t) : (cos t, sin t, t) intersect the sphere z2+y?+z2 = 17?

Q: 15 of 19 sin x + cot c Which expression is equivalent to COs x sin x + tan x tan x + csc x O cot x +…

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Q: Find E( +1)? O 367 418 O 423

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Q: dy/dx - y = xy5 = 0 Ans. 1/y* = -x++ ce 4*

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A: We are allowed to solve one question at a time. Kindly repost other problem in next question. Thank…

Q: Let f(x, y) = 2x2y + 3xy. Use the (limit) definition of partials derivatives to show that fx(x, y) =…

A: This question is related to Partial derivatives, we will solve it using given information.

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A: Observe the given graph and decide whether function is increasing or decreasing.

Q: 9. Is the function defined by gon3 – 3 if 2. continuous at r= 2? differentiable at x = 2?

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Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

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Q: Using the following graph of the function f, evaluate the limits (a) through (i). (a) Select the…

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Q: リ=ー"-4), find a) The x-intercept and the y-intercept b) The interval where the function is…

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Q: Use the product rule to find the derivative of (- 72° – 4x10) (5e² + 4) | Use e^x for e". You do not…

A: This question is related to differentiation, We will solve it using given information.

Q: 6y² -dA where D is the region in the 1st quadrant bounded by y =x' and y= 4x . Evaluate 9.

A: Here we have to evaluate the  integral of a function over a region.

Q: 5. Given y- ir,1 Find when 1if f(2) =4 and f(2) - 5.

A: Differentiate y with respect to x using chain rule.

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A: Differentiate  y with respect to x

Q: 486 on the interval [8, 20]. Find the absolute extrema for the function on the given interval.…

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Q: 5 | (2a3 + 5æ – 4) dæ

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Q: What is the value of c? If we try to apply Rolle's Thorem to the function f(x) = 2x? – 20x – 2 on…

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Q: Region bounded by y = x* +2, y = x+4 rotated about the x-aKis 2.

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Q: 4(sinhx dx 5. Evaluate Vi+x? V1+x°

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Q: 06 00 11. Using cofactor method, prove that det M = abcd 0. 0 0 0 0 0 d 3

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: Given the function graphed below, evaluate the definite integrals. 4 3. -1 1 2 3 5 -1 -2 -3 -4 1 |…

A: We have to find the value of the integrals.

Q: Solve the differential equation below using series methods. y'' – xy' – 5y = 0, y(0) = 4, y'(0) = 2…

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Q: Find the nine roots of -256 – j256/3.

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Q: 25 18 f(x)dx f(2)dæ = / f(x)dx - 10 where a = and b =

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Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2x, y =…

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Q: A particle moves in the xy plane so that at any time –2 <t< 2, x = 3 sin t and y =t – 4 cost + 1.…

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Q: BASIC CALCULUS 1. The line segment from (1,–1,3) to (0, –3,1) forms a diameter of the sphere S1.…

A: Given , end point of diameter of sphere A(1,-1,3) and B(0,-3,1). First we need to find centre of the…

Q: Only pose the triple integral that calculates the volume of the solid bounded by the surface y2…

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Q: Find an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and (−1, 2, 3). Show all…

A: Here we have to obtain an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and…

Q: C. 5x' + xy = 5x°y³ .3 ху .3

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Q: - 9 sin(3x) and f'(0) Given f''(x) f(0) = 1. 3 and Find f(-

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Q: Which of the following transformation statements is not true about the transformation from y = cos-1…

A: We can reflect the graph of any function f about the x-axis by graphing y=-f(x) and we can reflect…

Q: dy sin(4x) Find for y dz V1 - x4 dy de

A: Given query is to find the derivative of the expression.

Q: Use the direct comparison test to determine if the following series converges or diverges. sin?n Σ…

A: Solve the following

Q: 3. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a…

A: As per our guideline we are supposed to be answer only one question you can repost other question in…

Q: Convert the differential equation x''' = x'' – 2x' – 4x +t into a system of first order equations by…

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Q: dx sin x

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Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A: Given ,  Two cars are initially 1200 miles apart  At the same time Car A starts driving at 35 mph to…

Q: Evaluate the integral. 2 dt 1- t2 V

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Q: A 20ft ladder is placed against a wall. If the top of the ladder is dropping at a rate of 5ft/min,…

A: given

Q: If the profit function for a product is  P(x) = 1200x + 80x2 − x3 − 58,000  dollars, selling how…

A: P(x)=1200x+ 80x2 -x3…

Q: Sketch the graph of the following equation 2x + 6y + 3z = 12

A: To sketch the graph of given equation

Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

A: This question can be solved using the concept of absolute maximum.

Q: Question 1: Using appropriate substitution tan'x xp: sec5x

A: LetI=∫tan3xsec5xdxI=∫sin3xcos3(x)1cos5xdxI=∫sin3xcos3(x)×cos5xdxI=∫sin3xcos2xdxI=∫sin2xsinxcos2xdxI=…

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/ō-definition of the derivative to prove that f(2) =9.

A: given :f(x)=4x2-7x

Q: The normal line to the curve y = -2x2 at a point in the fourth quadrant passes through the point…

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Q: Show that (xcos(2x)dx=. A-2 8

A: LetI=∫0π4xcos2xdxPut 2x=udifferentiate on both side2dx=dudx=du2As x→0 then u→0As x→π4 then…