3) Find the divergence and curl of f3xi+ 5x} j + 2y²k, at the point (1,2,3)

Q: The means of 6, 6, 6, 6, 6, 6 is 6? a. O False O b. True

A: In this question we have to find mean.

Q: Find the limit. (If an answer does not exist, enter DNE.) 4(x + Ax) - 4x Ax lim Ax-0 I

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Q: 1-37+27= 0 ➜ 1 (1-1) (1-2)=0 1₁=0, A₂=1, d3=2 X 2X 21 Y₁₁(x) = C₁ + c₂e² +₂e² U₁1, U₁₂- and U₂=2² е…

A: Given.

Q: Evaluate the piecewise defined function at the indicated values. F(x)= {1²2-6 5 ifx≤2 |2x−6 ifx>2…

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Q: Question 150 An acute angle, e, is in a right triangle such that cose- O O 24 26 218 448 8 O 25 25…

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Q: Use the Chain Rule to find dz/dt. z = tan−1(y/x),    x = et,    y = 5 − e−t

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Q: H.W. Solve 3) (D² + 4)y = 8 sin(2x)

A: As per the company rule we can answer only first question and rest can be reposted.

Q: dt z = cos(x + 4y), x = 5 t ³, y = 8/t

A: We need to find out the value of dzdt

Q: b) If x(0)=5, what is x(1)?

A:

Q: Find an equation of the plane. The plane that passes through the point  (−2, 1, 3)  and contains…

A: Question : Find an equation of the plane.   The plane that passes through the point  (−2, 1, 3)  and…

Q: V₁= 2³²-37²³² +27= 0 + 1 (1-1)(1-2) = 0. 1₁=0, A2=1, d3 = 2 X 2X X Y₁(x) = C₁ + c₂e² +₂²² +₁=1, 4₂-e…

A: The objective of the question is simplying the given integral.

Q: Match each equation with its graph. (Do not use technology.) The x y-coordinate plane is given.…

A: see below the answer and explanation

Q: write true or false for each statement  1. {∅}⊆{∅,{∅}}   2. ∅⊈∅   3. {∅}∈{∅}

A: The answers are given below:

Q: The probability P (0.5<x<5) is 0.5 O a. false b. true O

A: This is a problem related to probability. Please follow the procedure given below.

Q: Evaluate the piecewise defined function at the indicated values. 7x if x 5 Read It Watch It 6 Master…

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Q: Let f(x) = 4x² - 2 to find the following value. f(t+1) f(t+1)=

A:

Q: Find an equation of the plane passing through (0,-1,3) that is orthogonal to the planes 3x+4y-2z=0…

A: Let's find equation of the plane.

Q: Use the definition of the derivative to find: f(x)= 1/x^3 g(z)= z^4 - 8z^2

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: An integrand involving a radical form √√49-16x² suggests the substitution ○ 4x = 7 sec Ⓒ O x = 4 sin…

A:

Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² − 2x³ at the point where x = a -

A: The equation of the curve is given by y = 3+4x2-2x3 To evaluate: The slope of the tangent to the…

Q: y C (0,4) O R₂ y = 4√x R3 y = 4 x R₁ B(1,4) A (1,0) X

A:

Q: Find y' for sin x+sin y = 1. Find y' for xcos y=sin(x + y).

A:

Q: C(4)-C(0) 4 AC(t) 4 The energy in a rechargeable battery is changing with respect to time, such that…

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Q: Solve the homogenous diff equation of; dy dx x²(y² + 3) y(x³ + 1) 0

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Q: Given that lim f(x) = 1 lim g(x) = −4 lim h(x) = 0, find the limits, if they exist. (If an answer…

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Q: Question Find the area of the region that is bounded above by the curve f(x) = (x+3)² and the line…

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Q: 4. Let R be the region bounded by the following curves. Use the disk method (slicing method) to find…

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Q: - Find dy at x = -1 if y=u³ +5u-4 and u = x² + x. dx

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Q: Pls help with this question

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Q: Question 14(M A sine function has an amplitude of 3, a period of T. and a phase shift of 03 Oo 0 -3…

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Q: A random variable, z, has p.d.f. f (z) = e¯², 0 =< Z < 1. Calculate the expected value of z. a. b.…

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Q: 2. Show that the function f(x) = xsinx has in infinite number of Critical Points by doing the…

A: The given function is : f(x)=xsinx Now finding the derivative f'(x) :

Q: Determine the below equations of the eventual to find Horizontal asymptotes (HA) or Vertical…

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Q: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…

A: This is a problem related to probability. Please follow the procedure given below.

Q: 1. Let f(x) = |x-1|-3. (a) Sketch f(x) for x > 0 and label where f crosses the x-axis. (b) Find a…

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Q: d) lim g(x), where g(x) = x-2 ~ (x-3)² if x > 2 x+1 if x ≤ 2

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Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 5…

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Q: for the following P.d.f of x, find the p(x<1) and p(lx|<1),F(x)=x2/18 if -3<x<3 and 0 in other place

A: This is a problem related to probability distribution function. Please follow the procedure given…

Q: Find the general solution of y'=cos²xcosy

A:

Q: The probability that a patient recovers from a delicate heart operation is 0.9. What is the…

A: This is a problem related to probability. Please follow the procedure given below.

Q: For each of the following functions, find the derivative (dy/dx) with respect to x: 7. y = cos x 9.…

A: The given functions 7. y=cos x8. y=ex9. y=ln x we have to find the derivative of this functions.

Q: Given the functions f(x)=x²-3x+2 and g(x)=8-2x, write the integral to find the area of the region…

A: f(x)=x2-3x+2 g(x)=8-2x First of all, we have to write the functions in terms of y. Consider the…

Q: -8; -11; -14; ... Determine T, the general term the number pattern.

A: Finding the general term of the sequence

Q: Divide as indicated x + 5 5 + 5x +25 6

A: Topic = Algebra

Q: Q3: Solve the differential equation subjected to the condition y(e)=e² and give the result in…

A: Let's solve given differential equation.

Q: 7. f is a differentiable function on the interval [0, 1] and g(x) = f(4x). The table below gives…

A:

Q: For the following integral: f3ae-2 dx

A: NOTE: Refresh your page if you can't see any equations. . use the integration by parts method so…

Q: If your weekly cost, C, (in dollars) to manufacture L laptops and D desktops is: C(L, D)= 5000+50L…

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Q: The means of 6, 6, 6, 6, 6, 6 is 6? O a. False O b. True

A:

Q: Find the sum of the following geometric series: 3 Σ an=64n

A: