Find the area of the triangle with vertices P(1,5, –5), Q(0,0,0) and R(2,4, 1). NOTE: Enter the exact amswer. A = 13.982

Q: Consider the points A(3, –2,3), B(4, –4, 1), C(-2, –3, 1), and D(5, 3, –4). |(a) Find the volume of ...

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Q: Consider the following function: S-9x2 + 5x + 6 if x 1 Step 1 of 2: At what x-value is the function...

A: Topic = Functions

Q: Additional Activities Find all values of a such that the function f(x) = }* (x2+2x, if x < a is -1, ...

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Q: Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a plane. You must suppo...

A: Given problem:- Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a plane...

Q: 2 decimal places and include units. Let pi be equal to 3.14. Get the circumference f the circle and ...

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: This question is based on vectors.

Q: cos x(2 + sin x)$ dx

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Q: Among all rectangles whose area is 400 m^2, which one has the smallest perimeter?

A: The objective of the question is determine the sides of the rectangle for which the perimeter is min...

Q: 20. Find y" in the parametric equations x = cos 0, y = 2 sin“ 0. A) sec' Otan 0 B) sec 0 C) sin Osec...

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Q: = R - 3 (16,1) (e, -3)

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Q: *43メー バ+5 K

A: Please see the answer below.

Q: Use D-operator methods to solve (1) (0²+16)y= tsint Cii) (D²+D+5)y =t coszt %3D

A: Given : i) (D2+16)y=tsint ii) (D2+D+5)y=tcos2t.

Q: etermine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that...

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Q: Let a = ci + j andb = 7i + 24j. Find c so that the angle between a and b is. Round your answers to f...

A: The objective of the question is evaluate the value of "c" for the given vectors.

Q: A. Evaluate the following integrals. 1s (*2* -) x, 2х — 3' dx + 1. S x+2

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Q: Find the component form ofu + v given the lengths of u and v and the angles that u and v make with t...

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Q: A. Evaluate the following integrals: | cos 4x cos 2xdx 3.

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Q: 4. Find the equation of the tangent plane at the point (-2, 1, -3) to the ellipsoid 22 + y? + = 3 4

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Q: Plot the following cosine functions, y1 = 2 cos(x), y2 = cos(x), and y3 = 0.5 + cos(x), in the inter...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Find the area of the shaded region. y-2

A: Given query is to find the are of the shaded region.

Q: Write the given series in sigma form and find the sum 3 - (3/2) + (3/4) - (3/8) . . . .

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Q: The exact differential d(xy)= xdy+ ydx , what is the d( = 4x°y'dy + 2.xy*dx . хdу — ydx The exact di...

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Q: Consider the following. u = (1, -9, -7), v = (6, -2, 0) (a) Find the projection of u onto v. (b) Fin...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: 4. A baseball diamond is a square, 90 feet on each side. The instant a runner is halfway from home t...

A: Note: According to our expert guidelines only first individual question is to be answered kindly rep...

Q: What is the Direction vector for the line with Cartesian equation 3x + 2y-1= 0

A: Any line in two-dimensional Euclidean space can be described as the set of solutions to an equation ...

Q: Given vector u (1, 1) and v (6, 2) , determine the value of V + 2u in component form.

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Q: 16 – x2 – 4y2 Use a change of variables to evaluate fSS, zdV; where D is bounded by the paraboloid z...

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Q: Find the indicated partial derivatives of: 2х — 2у - f(x, y) = 2х + 2y at the point (x, y) = (1,3). ...

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Q: 6. Compute f '(x) if Ax) = , 1 1 A) 3x*/³ (x – 1)*/ 4/3 1 B) 3x2/ (x – 1)*/3 1 C) *(r – 1)*/3 1 D) 3...

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Q: The manager of a company that produces graphing calculators determines that the price of each calcul...

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Q: Find the values of a, b, c, and d when f(x) = ax3 + bx2 + cx + d and the following conditions are tr...

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Q: ttempt History E Attempt in Progress - oil slick on a lake is surrounded by a floating circular cont...

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Q: Determine is the series is absolutely convergent, conditionally convergent, or divergent. Show your ...

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: 5. (2xy² – 1)* – 3x²y³ – 1 = 0, find y' -

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Q: 1. Integrating factors found by inspection: (xy’ +xy dx +(xʻy² – 2 kdy = 0

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is said to be exact iff ∂M∂y=∂N∂x

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: To find the parametric equation of a line that passes through a point (-4,0,2) and is parallel to th...

Q: Compute sin x et + 3e-x

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Q: Home wurk f ind Jw du f ur the following ノ au d fuuctivus : + e -1 X +y 2- X . tan ニ メャツ w : csc ( X...

A: Use partial derivative

Q: Find the area of the parallelogram that has u = i – j+ 2k and v = 2j + k as adjacent sides. NOTE: En...

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Q: Current Attempt in Progress An oil slick on a lake is surrounded by a floating circular containment ...

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Q: y(x) =x' (2x – r²)

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Q: Evaluate the following integrals: S sin 'xcos x dx 1.

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Q: Given the curve: y = 4cos3x - 3cosx, find the following values of x (from 0 to 2pi radians) when y i...

A: Given curve: y=4cos3x-3cosx To find: The values of x when y is maximum and minimum i.e. critical poi...

Q: 2x cos (y) at the points (0,0) and 0, (0) Find the linearization L(x,y) of the function f(x,y)%3D

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Q: integrate the following ∫(y-2 + 1/2y - 1)2 dy

A: We will us the formula a+b2=a2+b2+2ab for expansion

Q: Evaluate the following integrals. x² + 2x -3 dx | x+2

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Q: The graph of f' on the interval [-3, 2] is shown below. YA (2, 4) y = f'(x) (-1, 1) (1, 1) 1 (-3, -1...

A: Graph of f' on the interval -3,2 is given.f'&lt;0 for -3,-2f'&gt;0 for -2,0∪0,2f'=0 at x=-2, x=0.