Find the area of the triangle with the given vertices. (Hint:lux vll is the area of the triangle having u and v as adjacent sides. A(0, 0, 0), B(1, 0, 3), C(-3, 2, 0)

Q: Can you explain how you calculated the partial derivative with respect to s?

A: The total derivative of function  of two variable  is,

Q: 3. Find the inverse function for f(x) = x-1 3x+1

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Q: Evaluate the following integral. 3 e SSS ²0 -221 ¡¡¡² -221 dz dx dy dz dx dy= (Type an exact…

A: The given triple integral .The aim is to find the integral value.

Q: Assume that x = x(t) and y = y(t). Find x² + y² =4.52: dx using the following information. dy = -2…

A: The objective of the question is to find the derivative of the equation x² + y² = 4.52 with respect…

Q: Find the antiderivtive: /102³-52² +7 x6 -dx = + C

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: The function f has continuous second derivatives, and a critical point at (-5, 1). Suppose fez(-5,…

A: Conditions are given as follows

Q: Comma SECRE Find the critical numbers of the function Center your answers as a list, an answer does…

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Q: and use these to calculate the Jacobian: a(x, y) d(u, v)

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Q: Find the total area of the shaded region bounded by the following curves. x= 12y²-12y³ x=2y²-2y

A: From the given graphRegion is bounded by x=12y2−12y3 and x=2y2−2yFrom the…

Q: Suppose F(3) = 5, F(6)— —5, and F'(x) = = 6 √3 4f(x) d dx= f(x).

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Q: For the series below calculate find the number of terms n that must be added in order to find the…

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Q: 2. Solve the DE 1. 2. (D-D³-9D²-11D-4)y=0 (D-4D³ +8D²-8D+4)y=0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 37-42. Midpoint Riemann sums Complete the following steps for the given function, interval, and…

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Q: b. For a fixed value of ï, say ¤‡, what is the geometric meaning of A(x) Ax? (Hint: Consider how…

A: The objective of the question is to understand the geometric meaning of the integral of a function…

Q: Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per…

A: The objective of the question is to find out how many bottles 10 machines can produce in 4 minutes,…

Q: a) log, 40 d) Slog, 9 c) b) log, 2 c) log, 2+log, 8 log, 12 1) log, 10-log, 20

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Q: Find the maximum and minimum values of the function g(0) = 40 – 9 sin(0) on the interval Minimum…

A: First we find the critical value of the given function and then find the value of function at the…

Q: Below are four sets of ordered pairs. Identify each using the following: n = the set of ordered…

A: Given that n = the set of ordered pairs does not represent a functionf = the set of ordered pairs…

Q: Find f(x) if f"(x) = 24x²+2x+8, f(0) = 5, f'(1) = -2.

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Q: A square-shaped sheet of ice is growing as time passes. If the sheet of ice is always in the shape…

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Q: stion a). Use the geometric definition of to explain the distane equation cross product in part (1)…

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Q: Evaluate (x² + y²) d.S, where S' is the surface z = 4 - æ, 0 ≤ x ≤ 2, 0 ≤ y ≤ 2. S (036² + y²) ds =…

A: To find:-  Where S is the surface

Q: Evaluate the iterated Integral [.. Answer: ry da dy.

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Q: Use a triple integral to find the volume of the solid enclosed by the paraboloids y = x² + z² and…

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Q: Use the Mean Value Theorem to prove: If f(x) and g(x) are differentiable on an interval (a, b) and…

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Q: The initial and terminal points of a vector v are given. Initial points (-1, 3, 4) Terminal point:…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Use spherical coordinates to evaluate the triple integral e-(z²+z²+z²) EV x² + y² + where E is the…

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Q: The graph of f(x) is shown (see figure). 5x² f(x): = x2 (a) Find the following limit. L = lim f(x) =…

A: The given function is

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Find the divF given that F=∇f=∇ where f(x,y,z)=xy^3z^2 divF=

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Q: Given: (x is number of items) Demand function: d(x) 4624 √x Supply function: s(x) = 4√x = Find the…

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Q: Sketch the graph of the quadratic function. f(x) = 3x² + 2 No Solution Help -10 9 8 7 6 5 4 3 2 -1…

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Q: How many solutions does the equation sin 3x = 1.44−2x^2 ​have? Using Newton's method.  The equation…

A: sin3x=1.44-2x2

Q: Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.

A: We have to find the maximal value of the function  on the circle of equation

Q: Question A particle moves along a line with a velocity v(t) −3t² + 3t +4, measured in meters per…

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Q: Use the Fundamental Theorem of Calculus to find the derivative of the following function 5 F(x) = [²…

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Q: A volume is described as follows: 1. the base is the region bounded by y = 5 and y = 0 9 2. every…

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Q: Find the maximum and minimum of the function f(x,y)=x+y=x² - y² on the circle x² + y² = 1.

A: Given that the function:-

Q: Let g be the function given by g (x) instantaneous rate of change of gl at x = 1? O O -42 -38 42 38…

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Q: (6) A piece of ice cut in the shape of a cube melts uniformly so that its volume decreases at 3…

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Q: 7. Find the parametrized equation for the intersection line of the planes 2x+y-z=1 and 4x - y = 3.

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Q: 1. The value of a parcel of land bought for speculation is increasing according to the formula t1/4…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1,-9, 5) Radius:…

A: To find the standard equation of the sphere with the given characteristics.

Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s)…

A: The objective of this question is to find the equations of the tangent lines to the graph of the…

Q: 16-t -t6 -dt t4 Integrate: /M + C

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: Given: (x is number of items) Demand function: d(x) = 588.7 — 0.2x² Supply function: s(x) = 0.5x²…

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Q: A. Use the first three terms for the Maclaurin Series for f(x)=xsin(x) to approximate f (2) correct…

A: The given function .The aim is to find the value of  by using the first three terms for the…

Q: How many minutes does it take John to type y words if he types at the rate of x words per minute?…

A: Given,John types x words in 1 minute Find :- Number of minutes does John take to type y words

Q: Find the partial derivatives of the function 뚝뚝층 _w = V2 + 182 + 2t2

A: The Power Rule:The Chain Rule: