Find the area of the triangle with vertices P(1,3,–4), Q(0, 0,0) and

Q: Find the exact value of sin 20, cos 20, and tan 20 using the double-angle formulas. cos 0 = 5 13 S <...

A: Given cosθ=513We know that sin2θ+cos2θ=1sin2θ=1-5132        =1-25169        =144169Sinθ=-1213 (As si...

Q: Find the directional derivative of the function at the given point in the direction of the vector v....

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Q: Three computers are chosen at random from 15 computers of which 5 are defective. Find the probabilit...

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Q: derivative k(t) = 4.8t3 − 4t2 + 2t − 9; t(x) = ln x

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Q: y = 4 – x2 from x = -3 to x = 3.

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Q: 7. у' — х — у

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Q: values

A: We will find the limits. 

Q: B) Use the diagram below to identify points, lines, and the plane. 1) List three collinear points. 2...

A: Given question:-  use the diagram below to identify points

Q: 3a + 4b = ( lal =

A: The objective is to solve the above question.

Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

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Q: d Compute [(* + 2x)} ] a x= -1. dx

A: ddxx5+2x2=2x5+2x5x4+2

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 4 and a root of multiplicity 1...

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Q: Find the particular solution that satisfies the differential equation and initial condition. x2 f'(x...

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Q: Write z, and z, in polar form. Z1 = 7 + 7i, z2 = 4 21 = Z2 Find the product z122 and the quotients 2...

A: Since you have asked multiple part question, we will solve the first 3part of the question for you a...

Q: Use implicit differentiation to find y". y2 - x² = 6

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Q: Use the given transformation to evaluate the given integral, where R is the triangular region with v...

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Q: Find an equation of the tangent line to the hyperbola defined by x² – xy – 3 – x = -22 at the point ...

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Q: Find the indefinite integral and check the result by differentiating.

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Q: Find the intervals on which f is increasing and decreasing. f(x) = - 3 sin x on [- 7,7] Select the c...

A: topic - application of derivatives

Q: Determine whether the improper integral diverges or converges. 1 e2x + e-2x dx O converges O diverge...

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Q: find the inflection points of f(x) = (x-2)4/3

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

A: Vectors with opposite directions have 180° angle between them.x and y components have opposite signs...

Q: + 2y = 7x +4; y(0) = 3, y'(0) is y(x) =. %3D

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Q: nalyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflecti...

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Q: Find the volume of the solid obtained by rotating the region bounded by y= 2 andy = = 2x about the l...

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Q: Write the expression as the sine, cosine, or tangent of an angle. 3 COS sin)sin() COS - 7

A: Note that: cos x cos y-sin x sin y=cos (x+y)

Q: 9. |(x – 1)² -

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Q: Select the basic integration formula you can use to find the indefinite integral. dt du Va? - u? du ...

A: The given integral,∫61-t2dt

Q: .. Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not...

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Q: Evalnate the fo llowing limits 1. lim 4x-5x+1 メ→ -4x? 2. lim I x²+5x -6 X- 4 lim (1x-7)* 3. 2.

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Q: btam a parken Aplution alor then t=0, r=r,. dr = -frt

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Q: O Evalunte

A: We will evaluate the double integral. 

Q: Suppose that the total cost (in dollars) for a product is given by C(x) = 1700 + 160 In(2x + 1) wher...

A: topic- functions and derivatives

Q: Find the slope of the curve defined by the equation yx^2 – 8 = 0 at the point (2,2)?  a. 2 b. –1 c. ...

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Q: C. Discuss the continuity of the following functions at/on the given point/interval. 4x 1. (6 points...

A: Continuous 

Q: V -/1+/x - 1 1+/x +1 · IVx tan 2 tan dx 1+/x +1+//1+/x -1 -1

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Q: 2/3 Q31 3x-2x, [-1,1] =3(x)-2 2- -1/3 -1/3 2x 2(x"?-1)=0 -1/3

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Q: Use Theorem 7.1.1 to find £{f(t)}. (Write your answer as a function of s.) f(t) = sinh kt L{f(t)} %3...

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Q: Find the maximum value of f(x,y)=x^4y^6 for x,y≥0 on the unit circle

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Q: What

A: We will find sine and cosine values for given angle. 

Q: lim (In 2x + 5) + 4 X→ー1

A: Solution:limx→-1ln2x+5+4=ln2-1+5+4

Q: 3. At midnight, the heater inside your house breaks down. The temperature (T) inside your house at t...

A: dTdt=-k(T-T0)∫ dT(T-T0)=∫-k dtln(T-T0) =-kt+ln CT=T0 +C e-ktat t=0;T(0)=21°CT0 =-6°C21=-6+CC=27T=T0 ...

Q: Below is a graph of the derivative of a function f. y 3| (x from -1.3 to 2) A.0 -0.5 -1 0.5 1.0 1.5 ...

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Q: let z- 5 dy By chain Ruie

A: Given z = √x dy/dx = (1/2√x)•(dy/dz) We have to find d2y/dx2 .  

Q: RX)=5x and C(x)3D0.001x+2.6x+7O,

A: answer of given question is in step 2

Q: Find the volume of the solid obtained by rotating the region bounded by x =y and x = 5y about the y-...

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Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

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Q: Analyze and sketch a graph of the function. Find any Intercepts, relative extrema, points of Inflect...

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Q: Suppose that the total cost in dollars of producing x units of a product is given by C(x) = 5,000 + ...

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Q: Points A, B, and D lie on OC. MLACB = 40. mAB < mAD. Find each measure. 13. mAB 40 14. MLADB 20 15. ...

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