Find a vector equation of a line passing through the point (-1, -2, 4) and perpendicular to both a = [0, − 1, 7] and b = [ ,4,2 − 3]

Q: Use a sign chart to solve the inequality. Express the solution in inequality notation and in…

A: By using a sign chart to solve the given inequality. To express the solution in inequality notation…

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: Given :∑k=1∞k!k6

Q: Q1: A. Determine is the following series converged or not and find sum of it 3 3 3+-+ *** 4 16 +

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Q: 2. Which of the following would be a valid reason that the above function is non- differentiable at…

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Q: Given the following equation: y = 2x − 3 , y = −3 , y = 3 What is the area bounded by the given…

A: required graph of the function is blue y=-3 green y=3 red y=2x-3 black x=0 (I have assumed that…

Q: Q3:A. Determine the following function U is harmonic or not x y U = 3 + cos sin ossin

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Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A: Between 3 seconds and 7 seconds the ball's average velocity is ???

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A: Concept: Maxima and minima: The highest and smallest values of a function are its extrema. Maxima…

Q: Find the mass of the thin bar with the given density function. - 3x p(x) = 4 e ; for 0≤x≤2 Set up…

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is  so the lower…

Q: Determine where the function f(x) is continuous. f(x)=√x² - 25 The function is continuous on the…

A: We always check continuity of function in its domain . Hence the given function is continuous on its…

Q: Find f. f"(0) = sin(0) + cos(8), f(0) = 5, f'(0) = 2

A: Given, f"(θ)=sinθ+cosθ f(0)=5 and f'(0)=2

Q: Find the c value satisfying MVT for f(x) = 3x² + 2 in 1 < x < 5

A: Given: fx=3x2+2 in interval 1&lt;x&lt;5

Q: Suppose that f(x, y) = √√4² - x² - y² on the domain D = =4 Q Then the double integral of f(x, y)…

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Q: A tank of capacity 300 liters originally contains 80 litres of brine with 1/8 kg of salt. A mixture…

A: Given data :-  Capacity of tank = 300 liters Rate of mixture poured into tank =4 L/min Rate of…

Q: Tutorial on 1. Find Let cos²t } -St f(t) dt dt 11 e - St Laplace Transforms Also D to fe S tcost

A: Concept: Using the formulas: L{tnf(t)}=(-1)ndnF(s)dsn................(where…

Q: 3. (a) Use the Binomial Theorem to expand and simplify (3a²-4b)6

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Q: Find the area of the region enclosed by the curves y = x + 5, y² = = x, y = −1, and y = 2.

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Q: Determine the least upper bou You must fully justify your an

A: We have to find least upper bound of the given set

Q: What is the second derivative of ƒ(g) = 12g² + 15g² +26g³?

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Q: Give a limit expression that describes the left end behavior of the function. 2+7x+8x² f(x) = Select…

A: We can solve this as follows:

Q: For numbers 14-16: Given: f(x) = |x-5| |x-5|dx 14. Find A. 3 B. 4 C.9/2 15. Find ₁ |x-5|dx A.15/4…

A: Above question is solved.

Q: Eliminate the arbitrary constants of the following. Simplify your answers.  3. y = c1x + c2/x

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Q: Jse the formula for the binomial series: (1+x)= = = 1 + mx + 1+ Σ m(m-1)-2 ²x² + 2! m(m-1)--(m-k+1)…

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: We have to check series is convergence or divergence by ratio test

Q: Find the radius of convergence and the interval of convergence. k (x+2)* k= Radius of convergence:…

A: First i I have find the Radius of convergence using formula and then find the interval of…

Q: Initially 100 milligrams of a radioactive substance was present. After 8 hours the mass had…

A: The radioactive decay rate is proportional to to the amount of substance is present at time t.…

Q: Find the unit tangent vector to the curve defined by r(t) = (4 cos(t), 4 sin(t), 2 sin²(t)) π at t =…

A: I have appended the formula used in the solution part of the question

Q: Complete the explanation of how to map one triangle onto the other. 8 in. 4 in. 4 in. 7 in. and then…

A: We need to choose correct option.

Q: fidencos 3 Evaluate If (n²7y) dv kabrood if G. As the solid bounded by is the parabolic cylinder…

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Q: B: Solve the following differential equation by Laplace: ²+2+5y = e-¹ sint .y(0) = 0,(0) = 1 dx

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Q: Part 1. Elimination of Arbitrary Constants 1. Eliminate the arbitrary constants using determinants y…

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Q: (a.) f(x) = x³on [0,1] (b.) f(x)=sin sin x on [0, -1]

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Q: The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then…

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Q: Find the mass of the thin bar with the given density function. 2 p(x)=x√ 16-x; for 0≤x≤3

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Q: The set of all the solutions of the equation z³ = -27 in the complex plane is (a) (-3) (b)…

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Q: Obtain the differential equation of the family of circles of fixed radius r with center on the…

A: We have to obtain the differential equation of the family of circles of fixed radius r with center…

Q: B. Use Green's theorem to evaluate f (x²y)dx + y² dy Where C is close path formed y = x and y = x³…

A: This is a problem related to integral. Based on the general formula of green's theorem we will…

Q: Determine whether the series converges. The series diverges. O The series converges. 1 Σ V/24 - 1 2k…

A: We can see that k is in the denominator.

Q: 9. Itan tan-¹ √u √u du

A: Given∫tan-1udu

Q: 3 2 Find the area bounded by the two curves y = x³-6x²+ 8x and y = x² - 4x

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Q: Use any method to determine whether the series converges or diverges. 1 Σ 2 + 9-k k=1 The series…

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Q: If it was 3 A = [ ³₁ 2] 4 So 4² = 123 20 8 5 - A 16 A² = [¹64] - B 9 13 5 A² = [ - 11/2 - C A² = [16…

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Q: Q5: prove 1) e2-j3n-e² = 2) |e²| = ex

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Q: If F(x) = f(g(x)), where f(−2) = 4, f ′(−2) = 3, f ′(5) = 5, g(5) = −2, and g ′(5) = 4, find F…

A: NOTE: Refresh your page if you can't see any equations. . here we have f(−2) = 4, f ′(−2) = 3, f…

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=a and OT=b…

A: Given equilateral triangles congruents to triangle BSR  and OS = a          OT = b

Q: Find the Fourier series to represent the function f(x) given by: -1 for f(x) = 0 for +1 for EINEIN -…

A: Given : f(x)=-1 for -pi&lt;x&lt;-pi/2 f(x)=0 for -pi/2&lt;x&lt;pi/2 f(x)=1 for pi/2&lt;x&lt;pi

Q: The height of each rectangle is given by the value of the function, f(x) = 5x − x2, at the…

A: Explained below

Q: Problem 7. Find each of below for the function x+5, f(x)=3, 23 1, 2< (a) f(1.9). (b) lim f(x). (c)…

A: Solve the following

Q: 5) y ² ( xdy + ydx) = (xy + 2) dy a) y lnx (xy + ²) + 1 = cy b) x lng ( xy + 2) + 1 = cy су c) y ²…

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

Q: The desert temperature, H, oscillates daily between 41 °F at 4am and 81 °F at 4pm. Write a possible…

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