If F = (x² − y² + 2xz)i + (xz − xy + yz)j + (z² + x²)k, find the divergence of - curl F and curl of curl F at the point (1, 1, 1).

Q: f(x) = 5* g(x) = log5 (²²= 4) Find (fog)(x) and obtain its domain. h(x): - 6 <- x 2x-5

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Q: TRUE or FALSE: Vectors u = (-4, 1, -2) and = 1 7 1 1

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Q: The Integral xy√√x² + y² dydx is equal to 1 Select one: O /(2√2+1) //(√2-1) 15 O /(2√2) /(2√2-1) O…

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Q: IV. Determine whether the following series converges or diverges. Show your complete solution. +00 3…

A: To determine whether the following series converges or diverges.∑n=2+∞ n4-234n3+5

Q: A crate is supported by two ropes. One rope makes an angle of 25° 30' with the horizontal and has a…

A: We will find the required.

Q: Find the directional derivative of f(x, y) = 3x² - 2y² at point ,0) to point 3 (-2-1,0) 0(0,1). in…

A: Let's find directional derivative.

Q: Compute the general term an of the series with the partial sum Sn = √n, n > =

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Q: it is the empirical formula for C10H20O5 O C₂H5O

A: Empirical formula  An empirical formula is the simplest whole number ratio of elements in a…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. =x²+²x≤x≤1 3x 2…

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Q: Let f(x) be the following piecewise function x² + 1, 1 (x+1)² 2x-3 x²+1 f(x) = if x < -1 if -1 < x <…

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Q: Find all values of c such that fis continuous on (-∞,). C= 7-2², a se - ذکر (smaller value) (larger…

A: Given query is to find the value of c so the function is continuous for the provided interval.

Q: b\ Fill the blanks 2/3 (1) Suppose you have a matrix x = [33], 13 4/5/61 2) Suppose you have a…

A: To fill in the blanks.a Suppose you hava a matrix x=12343456, then x...=35.b Suppose you hava a…

Q: Write the equation for the plane. The plane through the point P(-2,-5,3) and normal to n = (2,7,8 O…

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Q: You have been asked to design a rectangular box with a square base and an open top. The volume of…

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Q: Shown to the right is a graph of f(x). (a) Describe the transformation for h(x) = -f(x + 1) +2. (b)…

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Q: (5) (a) For all n € N and a + 0, show that k=1 11 1 1

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: The side of a square is growing at the rate of 5 centimeters per second . Find the growth rate of…

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Q: Question 2 a. I b. | function f(x, y) = y² − x² + — a 1 Find the critical points of the function…

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Q: X (2-x) 6(E-x) Htx

A: The solution is given below

Q: When you wrote Note: and then gave that formula what is the name of that formula because I cant find…

A: Let's solve.

Q: Compute the dot product of the vectors v and w, and find the angle between the vectors. v=5i-j and…

A: We have to find the dot product of vectors and magnitude of vectors

Q: The tangent plane to the graph of at the point where (x, y) = (2, 2) (write the appropriate function…

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Q: Calculate L6 for f(x) = √√7x + 3 over [1, 3]. (Give your answer to three decimal places.)

A: The given function fx=7x+3 over the interval 1,3 we have to the left Riemann sum using 6…

Q: Evaluate the following definite integral. Express your answer in terms of logarithms. In 9 S In 7 In…

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Q: (a) Use differentiation to find a power series representation for f(x) f(x) 00 f(x) = n = 0 What is…

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Q: Calculate the area of the segment cut from the curve y=x(3−x) by the line y=x. Also, sketch the…

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Q: 2 + y²

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Q: g(x) = cos ¹x+ x 1-x²

A: Topic = Derivative

Q: What is the area of the region between the curves 3 y = x³ and y = x², from x = -3 to x = -1? Select…

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Q: True

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Q: Relative to the basic function f(x): shifted 3 in which direction? O a) left Ob) down Oc) up O d)…

A: We can answer the question as below.

Q: Let f(x) be defined by f(x) = Answer: 3x² + 5x + 2 x + 2 Find f'(1). Note: Your answer (if it's not…

A: Topic - derivative of a function

Q: Find an equation for the graph above.

A: NOTE: Refresh your page if you can't see any equations. .

Q: 1.) a. Verify that y, (x). and y₂ (x) e are solutions of the differential equation 2y" y'-y-0 on…

A: We have to find if given are solutions to differential equation or not.

Q: Compute R6, L6, and M3 to estimate the distance traveled over [0, 3] if the velocity at half-second…

A: We need to find R6, L6 and M3

Q: The graph of which of the following rational functions has a hole (donut hole, a point of…

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Q: y" + 3y' + 2y = U₂(t); y(0) = 0, y'(0) = 1

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Q: an = (1 + 2,60) ² =

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Q: Convert the point (ρ,θ,ϕ)=(6,11π/6,π/2)to Cartesian coordinates. Give answers either as expressions,…

A: Convert given spherical polar coordinate in to Cartesian coordinate as follwing:-

Q: Find the following limits (if they don't exist write DNE, ∞ or -∞ as appropriate): Answer: x-1 lim…

A: We need to find the limit limx→∞ x-12x2-7x

Q: II) Let ƒ be the piecewise function f(x) = 2³+ 6x² + 8x x+2 2¹-2, 1-x-2, " x≤-1, x -2 -1 1 1) Sketch…

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Q: Identify the surface y − 3 = x² +.

A: Solution: Given data, y - 3 = x2 + z2

Q: The area of the surface generated by rotating the curve y = 1 = cos(3x), where 0 ≤ x ≤ , about the…

A: Let's find Area of surface,when rotated about x axis.

Q: lim X118 3x³-2x x²+2x+8

A: We can find the limit as below.

Q: Calculate the arc length of the indicated portion of the curve r(t). r(t) = (3 − 2t)i + (1+6t)j +…

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Q: A periodic function f(x) is defined as 3, f(x) = {x, f(x+2) -1≤x<0, 0≤x<1. Based on the above…

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Q: q+m (v) m Submit Question 2 1 -6 -5 -4 -3 -2 -1 -1 2 3 A 16 5 1 Find an equation for the graph…

A: General equation  m=AsecBv-c+d Now we need to find A,B,C and D

Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, ƒ'(1) = 1, g'(1) = 5. For the following…

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Q: Find the volume of the solid when the region enclosed by the curves y=x², x=1, x=2, y=0 is revolved…

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Q: What is the velocity of a ball dropped from a height of 150 m when it hits the ground? Take the…

A: The Solution is given below