State the domain for the function f(x) = log6(-x + 5) + 4: O (-00, 5) (-5,00) O (-∞0,00) O (-00,-5)

Q: If u = (-3.9, -0.8), (0.2, 2.8), and w = (1.8, -4.9), find the following. ū. (v + w) V.V 2 (u. *) =[…

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Q: Find the first partial derivatives of the function. Əw au Əw əv || || W ev u+v8 -e¹ (u+v²)² X

A: Given

Q: Given the functions f(x) = x² − x and g(x) = 2x − 3, evaluate and simplify the composition f o g.

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Q: Let f(x) = 2.6x² :3 and 2 = x1 = y = 6.3x. Find the equation of the secant line on the graph of f(x)…

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Q: Consider the following. f(x, y, z) = x²yz - xyz³, P(2, -1, 1), u = (0, -—-. (a) Find the gradient of…

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Q: Question 3. a. Use Cramer's rule solve the following system for x and y b. Let A - ( ₁ = 4 1 x - 2 x…

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Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

A: Convert partial fraction decomposition of the function

Q: 4x³-13x²+3x+2 x²-4x+3 dx

A: I=

Q: Let f(x) = 11x³ over the interval 0 ≤ x ≤ 1. Set up the integral for the surface area generated by…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: find the area of r= 1+ Sin in the first guadrant

A: The given curve is:

Q: 38. f, f(x) dx where f(x) - -{-x if -24x50 4-x² if 0<x<2

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Q: What is the angle (in radians) between the vectors 4.5i + 2.2j + 5.3k and 3i + 2j – 4k ? Round…

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Q: R be the region bounded by the graph of y = 5√√x + 3, the x-axis, the y-axis, and the line x = 4.…

A: According to guidelines we solve only first question.

Q: 13. The plane passes through D(2, 5, -4) with normal n = (2, —1, 3). Determine the Scalar Form of…

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Q: 23. √x dx 25. L sin Ꮎ dᎾ J0/6 dx 24. fx-2/36 ·L₁7 dx 26.

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Q: Find the domain of each of the following functions: g(x, y, t) = 2t - 4√√x² - y² 2 ○ {(x, y, t) | x²…

A: Given the function is:g(x,y,t)=2t-4√(x2-y2)

Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 5. R is the…

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Q: Show that f is continuous at a if and only if f is continuous* at a.

A: Using, alternative definition of continuity we can show easily that f is continuous function

Q: Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE. If v doesn't…

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Q: Use the graph below to find the indicated limits. If a limit doesn't exist, state doesn't exist,…

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Q: 35. (²00 + 30 dv 37. f(x) dx where f(x) = 18 · 5² √ √ ²2² ²² dz 36. sin x cos x if 0<x< π/2 if n/2…

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Q: Given f(x) = |x+6| Find: lim X-5- f(x)

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Q: Calculate the integral R f(x,y)dA for f(x, y) = 10-4x²y and R: 0≤x≤ 2, -1 ≤ y ≤ 1.

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Q: Using cylindrical shell method, find the volume of the solid S: R is the region bounded by x= y²+1…

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Q: (1) Find the limit (show the steps). lim 0-0 (cos 30) - 1 sin 50

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Q: Use the Implicit Function Theorem to find the derivatives: a. Find for the equation x² + y - 4 =…

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Q: Set up the formula to find the balance after 12 years for a total of $3,000 invested at an annual…

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Q: 1. Use the graph off to state the value of each statement if it exists. a. lim f(x) x-1- b. lim f(x)…

A: As per guidelines, At a time only three sub-parts can be answered.Please repost for other…

Q: f dy fer, dx

A: In this question , we can change the order of the integration.

Q: 4. a) b) Let x = 2ī + 3j - k, y = i- j + 4k and 2 = −3ỉ + j. Express the vector x + 2y - 37 in terms…

A: Let , and (a) To express the vector  in terms of vectors  and .(b) To determine .Note: Since the…

Q: State the domain for the function h(x) = -ex−¹: O (-00, 0) O (0,00) O (-00, -1) O (-∞0,00)

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Q: 1) For the given p-series, identify p and determine Whether the series converges. [ K = 1 1 3√73

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Q: Using the method of cylindrical shells, identify the volume of the solid of revolution obtained by…

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Q: hi , the solution is not visible can you please help

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Q: Find the value of x that will make perpendicular to . Give at least two decimal places when…

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Q: Find the arc length of the curve x = − Length = ▶ —4y³/² from y = 0 to y = 2.

A: Given here the arc length of the curve  in the interval  from

Q: You wake up one morning, and find yourself wearing a toga and scarab ring. Always a logical person,…

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Q: A large tank is partially filled with 100 gallons of fluid in which 40 pounds of salt is dissolved.…

A: Let x(t) is the number of pounds of salt in the tank after t minutes and v(t) is the volume of the…

Q: The count in a bacteria culture was 900 after 15 minutes and 2000 after 35 minutes. Assuming the…

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Q: Find the domain of each of the following functions: f(x, y, z) 3x-4y+2z √9-x²-y²-2² = {(x, y, z) =…

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1) 10 Σ k!…

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Q: For each of the following integrals find an appropriate trigonometric substitution of the form x =…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the derivative of h(x) 3 4 sin x COS X sin x COS X 2 COS X 1+ sin x - 3 cos²x (1 + sin x)³ 2…

A: To find the derivative of .

Q: 4. Given two unit vectors, m and ñ, and the angle between these two vectors is 70°, calculate (6m +…

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Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

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Q: Find the sum of an infinite geometric sequence in which a1=550 and r =3/8

A: We know that the sum formula of the geometric series is a/(1-r)

Q: f(x)= 72 X f'(x) = (Type an expression using x as the variable.)

A: We know that the defination derivative formulaf'(x)=lim_(h-&gt;0) (f(x+h)-f(x))/h

Q: ²1+²² dt 17. y=0 tane de Ꮎ dᎾ 15. y= 16. y -cos²0 de 18. y =√1 + 1² dt - L.

A: We have to Determine the derivative of the function.

Q: 51. lim x→1 2. / 1 53. lim x-0+ X 1 55. lim - X 1 x→0+ X X - 57. lim x√x x-0+ 63. lim x¹/x x18 - 1 1…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: Evaluate the integral. 6² tep 1 30 6x² + 7x + 1 [² The integrand of x6x² + dx 30 6x² + 7x + 1 x7 x +…

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