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Q: Find the points on the sphere x2+y2+z2=2 that are closest to and farthest from P0(3,1,-1).

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Q: Set up the triple integral for the function f(x, y, z) = 5 over the solid {(x, y, z) | x² + y² + z²…

A: The given function is:f(x,y,z)=5Solid S= (x, y, z) | x2+y2+z2≤28,  z≥0

Q: If f(x) = 8 sin ¹(2³), then f'(x) = Question Help: Video Message instructor

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

Q: If f(x) = 4sin ¹(x²), find f'(x). Find f'(0.7). Round to 3 decimal places.

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Q: Use an inverse matrix to find [x] for the given x and B. 5 (-3) -6 B= -3 4 [x] = (Simplify your…

A: We will find the required .

Q: Given a helix find the normal vector, binormal vector, and the oscillating plane at the point…

A: The given helix is:r(t)=cos t, sin t, t

Q: 3x²ydx + (y + x³)dy = 0 a. b. xydx + y²dy = 0

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Q: Find the equation of the line tangent to the given curve at x =a. Use a graphing utility to graph…

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Q: Find the maximum and minimum values of the function f(x, y) = = subject to ³+y³ = 128 Please show…

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Q: 4. Assume that f and g are differentiable functions for which the following is known. f(0) = 1, f(1)…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: A fence 6 feet tall runs parallel to a tall building at a distance of 3 ft from the building as…

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Q: 1. After Thanksgiving with her extended family, Surrena has a splitting headache. To take the edge…

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Q: Question Differentiate the series represented by the function f below term-by-term to find the power…

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Q: Find the value of the constant C' for which the integral converges. Evaluate the integral for this…

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Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A: To determine the rate at which volume is changing.

Q: π 3 H|3 Evaluate the integral 2 cos (u + v + w) du dv dw. 元 π F|3 3 wla 3 3 000 SS S 000 (Type an…

A: This question is related to definite integration, we will solve it using given information.

Q: Let f be a function defined by f(x,y)=3x4y²-4y. Evaluate the following: Vf(-1, 1) = -12 2

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Q: Enter a letter and a number for each formula below so as to define a continuous function. The letter…

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Q: Write out the first five terms of the sequence with, [(1 - 7)", determine whether the sequence…

A: To write out the first five terms of the sequence with 1-7n+7nn=1∞, to determine whether the…

Q: Let z(x, y) = Calculate дz მs дz Ət дz მs & 8x2 - 4y2 where X = 9s + 3t a y= ?х ду дх д' ' д дz Ət…

A: To find the partial derivatives

Q: Check Your Understanding 4.3 1. Differentiate te EXERCISES 4.3 Differentiate the following…

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Q: Write the answer in a better format please. How do i know what is divided by what or what is raised…

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Q: Centerville is located at (9, 0) in the xy-plane, Springfield is at (0, 4), and Shelbyville is at…

A: Let's say Centerville is point A (9, 0) Springfield is B (0, 4) And Shelbyville is C (0, -4) And the…

Q: Suppose that f(x, y) = 2x + 4y at which −3 ≤ x ≤ 3, − 3 ≤ y ≤ 3. Absolute minimum of f(x, y) is…

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Q: If ƒ(x, y) = x²e³+¹ then Ignore "Give your reasons" below. There is no need to give a reason. Select…

A: Given:     To determine: fx

Q: Find an integrating factor for y' - 3y = and solve the differential equation.

A: According to our guideline we are supposed answer only the first question if you want any particular…

Q: How did you get the (2n+1)(2n-1)? I just don't know where the (2n+1) came from. thanks in advance

A: use the general principle of mathematical induction.

Q: 1. Using the limit definition of the derivative, determine if the function f defined below is…

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Q: Consider the function f(x)= lim X→∞0 a. Evaluate lim f(x) and lim f(x), and then identify the…

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Q: nd a in terms of u when : U= Vln(z) +2, u = ln(3 +1), u = arctan(e® +1)

A: Given query is to find x in terms of u.

Q: Evaluate the two integrals given the graph. The two parts of the graph are semicircles. 1. 4 f(x) dx…

A: Given both the circles are the semicircles a) ∫14f(x)dx =area between x = 1 to x = 4

Q: 4. Find all point(s) on the graph of ƒ at which the tangent line is horizontal. (a) f(x) = sec² x…

A: Given:     fx=sec2x      for x∈0,2π\π2,3π2 To determine the points on the curve at which the tangent…

Q: Let z = x + y² with x = y = t. Then, the derivative of z with respect to d) at t = -1 is dt t (z'(t)…

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Q: The length of the box is 6 inches less than the width and the height is 2 inches less than the…

A: We need to find dimensions and graph.

Q: Calculating First-Order Partial Derivatives In Exercises 1-22, find af/ax and af/ay. 17. f(x, y) =…

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Q: A box with a square base and open top must have a volume of 78732 cm³. We wish to find the…

A: let  length of base = x  height = y volume V = 78732

Q: Each year 5% of the inhabitants of a rural area move to the city. If the current population is…

A: QA)24000×100-54 Given  Current population of Rural area = 24000 Rate of movement (Rate of decrease)…

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A: Given: t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v(ft/s) 0 5.7 9.2 15.5 18.8 19.4 20 To find the lower…

Q: Function g is graphed. -3 -2 -1 4 g A -1- S²90 Y 3- di -2- -3- T Find S g(x) da. Give an exact…

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Q: g(x) g'(5) = 2 X 13 1+t2 dt

A: Given query is to find indicated derivative.

Q: (2,8) a -2) ← f'(x) b (6,-5) graph of f' is shown. If f(2)= 17, the

A: Topic:- calculus

Q: Use the root test to determine if the following series converges or diverges. 16 Σ n=1 (6+(1/n))²n…

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Q: Give the interval(s) on which the function is continuous. h(k)= NOTE: When using interval notation…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  as we know, the…

Q: One base of a trapezoid is decreasing at a rate of 888 kilometers per second and the height of the…

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Q: Which of the following is the partial derivative with respect to y of the function f(x,y) = 6xy + 5x…

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Q: What is the independent variable in the given differential equation? * d²y Ət ² O x Oy and t Ot O x…

A: To determine the independent variables in given differential equation

Q: 0 A B (5, 1) C (2y+1,2-y)

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Q: A baseball team plays in a stadium that holds 58000 spectators. With the ticket price at $8 the…

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Q: What is the derivative of f(x) = ln(x)? x-1 ex X X In(x)

A: To find the derivative of given function