At what point is the tangent line to the curve y° = 6x² perpendicular to the line x y - 9 = 0? NOTE: Enter the exact answer. P = (?,?)

Q: Let F = (3x, 3y, 6z). Calculate div(F) and curl(F). (Use symbolic notation and fractions where neede...

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Q: Find the acute angle between the given curves. 1.1) x^2 + y^2 = 5 and  4x^2 + 4y^2 + 5y = 0 1.2) 2...

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Q: For a continuous function f(x) on the set 2 [- 5,2], the net area Tx)dx must be -5 always positive S...

A: The given question has been solved in detail

Q: 2. Consider the following parameterization of the rotation matrix P= a tan where a is the principal ...

A: Solutions

Q: Determine whetherthe limit exìsts or not when a) xーヤ 3 and 6) x→-3 F(x) = 1 Vx?4 Wien x<-ろ Vg-x² whe...

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Q: F(s)

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Q: Given a function whose graph is shown below. 3 -5 -M 1 2 3. 4 The function is continuous on (1,5). O...

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Q: Let y(x) be the solution to the following initial value problem. dy (In x) y(1) = 1 dx x y? Find y(e...

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Q: Find a domain on which f(x) = (x −3)2 is one-to-one and non-decreasing, then find the inverse of f r...

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Q: -2 The function graphed above is decreasing on the interval The inflection point is at x = on 2-

A: Solution: Clearly by graph we can observe that  

Q: Find the value of a that will make the function continuous at every real number. x*, f(x) = {ax? + a...

A: We have to find the value of a that will make the function continuous at every real number.         ...

Q: Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the den...

A: Given, Evaluate ∫5x2+x+36x3+9xdx

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Q: Find the extreme values of f (x, y, z) = x + 2y subject to both constraints x + y + z = 1 and y² + z...

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Q: Given the function f(x) = x?e%z, Determine the open interval(s) where the function is concave up Det...

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Q: Eind equatons of the following x²-2y²+2²+ yz =20, [4,6-3) W the tangent plane 6 the normal line to t...

A: Solution: f(x)=x2-2y2+z2+yz-20

Q: 1 -dx is equals to: x0.3 The integral x0.7 +C 0.7 Select one: O True O False

A: the integral of above equation is:-

Q: Find a value for the constant k, if possible, that will make the function continuous. Skx², (2x + k,...

A: Answer: The solution is as given below:

Q: dy x+3у 5- dx 2х

A: Given:      -dydx=x+3y2x

Q: This graph shows the time taken by two runners to complete the first six laps of a 1500-m race. 350 ...

A: we observe that in first three laps ,B is taking less time as compared to A ,so B is leading then in...

Q: During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 4 hours, at a ra...

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Q: Express the area bounded by the graph of g(x) and thex-axis as an integral on the interval (-00, 00)...

A: We need to express the area bounded by the graph of gx and the x-axis as an integral on the interval...

Q: Find the differential of the function y = e2X dy = || %3D

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Q: 5) For p > 1, the root test applied to Ln=1 nº is inconclusive (C). 5.

A: Given

Q: Consider the function f(x) = x²e12=. f(x) has two inflection points at x = C and x = D with C < D wh...

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Q: DO NOT include spaces in between characters. * Determine the point/s of discontinuity, if there is a...

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Q: Solve the problem. Find an upper bound for |E in estimating S (5 - 20) dx with n = 6 steps. M(b-a)* ...

A: Error bound Simpson's Rule :Suppose that f4x≤M for a≤x≤b . If ES is the error involved in using Simp...

Q: Determine the point/s of discontinuity, if there is any, and the type of discontinuity at that point...

A: h(x)=x-2x2+2x-8The function will be discontinuous at point where denominator is zeroconsider  x2+2x-...

Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(x/4)+ln(4)

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Q: The integral dx is Select one: O None. o o o

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Q: d. One focus at (-3 - 3v13,1), asymptotes intersecting at (-3,1), and one asymptote passing through ...

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Q: Let F = ( .0). 3x Зу | 2x²+2y² * 2x+2®•O). Calculate div(F) and curl(F). (Use symbolic notation and ...

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Q: 1. dr (3r + 1)2 1.

A: The given question can be solved as shown in step2.

Q: 4x2 – 25 -dx Evaluate the integral: (A) Which trig substitution is correct for this integral? 5 sin(...

A: Given problem:-

Q: Determine if the following sequence converges or diverges and find the limit if possible. Sin(n+ 1) ...

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Q: set S = {1,2,3}, set T = {10,20,30}, set V = {a, e, i, o, u} function g: S T g(1) = 30, g(2) = 20, g...

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Q: 4. A pizza is brought from the oven at 400 degrees into an 80-degree room. If y(t) is its temperatur...

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Q: Obtain the general solution of the differential equation:y’ = cos2x cosy.

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: 6t dt = 3a? %3D Select one: O True O False

A: topic - definite integral

Q: Given that f(x) = 5x° + x³ + 2, find the derivative of f- by using dy che formula d.x 1 Check dx you...

A: To find: The derivative of inverse of f(x)=5x5+x3+2 by the formula dydx=1dxdy. Calculation: Find the...

Q: sec ~dx 3 In sec - + tan- +C 3 3 3 A True B False

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Q: :G(x) = tan t dt. G (1)=0 G' (0) =0 G' (중) 3D

A: This question is based on definite integral.

Q: -7. -5-4 -3-2 -1 \I 2 3 4 5 -2 -4- o ト oゆ!

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Q: Evaluate the function for the given values. h(x) = [[x + 6 ] %3D (a) h(-5) (b) hG) 2 (c) h(4.6) (d) ...

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Q: (b) Then do the following: • If your answer is porsible, provide a specific example (a specific an) ...

A: D. Possible.     ex. an= 1n2  ⊙   limn→∞ 1n2 = 0 . Hence, an  converges.  ⊙  ∑n=1∞1n2 is converges b...

Q: Find the derivative by use of definition y = 3x / sqrt 2x + 1 Please answer asap

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Q: Find the derivative of the following exponential and logarithmic functions: (i) ecosx-sinx ii. In(3x...

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Q: A limestone stalactite grew in length at a rate of – of a millimeter per year. At this rate, how man...

A: Given the limestone is growing at a rate of 18mm per year i.e. 0.125 mm every year

Q: Write an equation for the line parallel to y : – 3x + 3 and passing through the point (4,-16) y =

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Q: Find the angle 6 between the vectors. u- (1, 1, 1), v- (5, -4, 3), radians

A: Angle between the two vectors can be found by applying dot product of two vectors.