Use the cross product to find the area of the triangle with the vertices P = (1, 1,5), Q = (3, 4, 3), and R = (1,5,7) in the figur (Express numbers in exact form. Use symbolic notation and fractions where needed.)

Q: Given the function f(x), find f'(x) f(x) = 9x² COS X

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Q: Make a table of values for the equation. 3x - y = 5 X -2 0 2 4 у

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Q: Given the graph of f(x)=√x as shown, graph the function -4f(x-4). -8 -7 -6 -5 -4 -3 -2 -1 8+ 7+ 6+…

A: We can graph the function asked using the given data.

Q: im (x²-C² if X<4 1 f(x) = {(x+5 x²-c² (x + 5 if x = 4 lim

A: Given:-x2-c2   if x&lt;4cx+5    if  x≥4f(x) is continuous at x=4solution:-if f(x) is continuous at…

Q: Use the final value theorem, the final value of f(t) = 6. (et +2) - 10 is .....

A: final value theorem

Q: f(x)=x²-4 2 X-X-6

A: Factorize the numerator and denominator.

Q: Which of the following equations is NOT a variable separable differential equation? A B (x² − yx²)…

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Q: 7. Find all constants a, b that make f continuous at x = 2. (Use limits and definition of…

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Q: Find c so that the line y = 4x + 3 is tangent to the curve y= x^2 + c?

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Q: Differentiate. g(x) = 4x-9 5x+1 g'(x)= 3 + X

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Q: Consider the differential equation (xy + 3x − y − 3) dx = (xy − 2x + 4y − 8) dy. By separation of…

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Q: -:- ind the Z.T. of X(X) = cuswok u(k) 8 iwok-iwok + e 2 k X(Z) = { coswok. Z K=O 11 Wo ITs (iw zijk…

A: See my dear ! cosw0=eiw0+e-iw02 We have 122-z-1eiw0+e-iw01-z-1eiw0+e-iw0-z-2 we have to show…

Q: Use the Chain Rule to find dz/dt. z = xy9 − x2y,    x = t2 + 1,    y = t2 − 1

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Q: 4.Find all complex numbers of the form z=a+bi, where a and b are real numbers such that zz = 25 and…

A: To find out all the complex numbers for the given condition.

Q: 5000 liters of the toxic substance Trioxin was dumped into the local swamp at the beginning of the…

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Q: a. f(x)=x-1 x²+1 b. fx=CSCTX

A: To find the vertical asymptotes , put the denominator equal to zero and solve for x.

Q: please

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Q: dz dt || z = cos(x + 3y), x = 8t³, y = 9/t

A: By the use of chain rule we need to find the required derivative.

Q: The Z-transform of the following function f[k] = 2.2k + (-5)* - 33 (-4)* is so the constants A and B…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x and y = √x about the…

A: Given problem:-- Find the volume of the solid obtained by rotating the region bounded by y = x and…

Q: B. Determine the center and the radius of the circle described by each equation. Then, sketch its…

A: We can answer the question in the below steps.

Q: First rationalize the numerator, then find the limit. Enter the exact answer. If the limit does not…

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Q: Solve the diff eq. (Homogenous) y' = ysecx

A: The given equation is: y'=ysec x⇒dydx=y sec x⇒dyy=sec x dx

Q: Find the limit. Enter the exact answer. If the limit does not exist, enter NA. 5x2 – x – 4 lim x→1…

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Q: Find the differential equation by eliminating the arbitrary constant/s. y = = Aex cos x + Bex sin.x…

A: We differentiate the number times as the number of arbitrary constants present in the equation and…

Q: Add 2.33 × 103 to 4.16 × 102 and express the x X answer in scientific notation. 27.5 × 10² X 4.39 ×…

A: Add the expression.

Q: Question 1 What is the exact value of csc 0_213 0 2√3 O 0-√√2 02 (167) ²

A: Let's find value of given trigonometric function.

Q: Prove that tan'z= let% 1/2 in (1+2) ة لله tan't Z • tanw=Z Z = Sinw cosw

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Q: Make a table of values for the equation. y = 5x X -2 1 1 2 || y Sketch a graph of the equation.

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Q: Find the unit normal vector for the vector-valued function r(t)=(t^2-3t)i + (4t+1)j and evaluate it…

A: Given data:- Vector-valued function, rt=t2-3ti + 4t+1j Evaluate at t=2

Q: Which of the following equations is NOT a variable separable differential equation? A B (x² − yx²)…

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Q: f(x, y, z)= 1+ 2xy³+3y- Find the following: a) fz(x, y, z) b) f(1,1,1) c) fz(x, y, z) d) f.(1, 1, 1)

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Given a function g(x), assuming that g'(3) = -8, what does ths tell us? OA. The slope of the line…

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Q: Find f+g, f-g, fg, and f/g and their domains. f(x)=√16-x², g(x)=√x+3 Find (f + g)(x). Find the…

A: The given function is: f(x)=16-x2 , g(x)=x+3

Q: The graph of a function f is given. y 1 1 Determine whether fis continuous on its domain.

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Q: Complete the description of the piecewise function graphed below. -7 to -5 -4 /-3 { f(x) = { { 6 5 4…

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Q: 1337 + (2) =?

A: We have to find the value of given complex number.

Q: 6. Determine whether the vector field is conservative and, if so, find a potential function. a. F(x,…

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Q: If (0,4) and (1,6) are critical points of y=a+bc+cx³, find the valur of c. A. 1 B. C C. -1 D. -2

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Q: y' xe2y subject to initial condition of y(0) = -1 =

A: Please see the below picture for detailed solution.

Q: In Problems 1-6, identify the equation as separable, linear, exact, or having an integrating factor…

A: Dear Learner,We expert are following bartleby expert guidline so we can answer only one question.…

Q: Given AABC, what is the m48? 6.309 35 39 808 54 903 90 0679 11 9

A: We have to find angle B.

Q: y=de³x + be-3; y"-9y=0 -3.x.

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Q: 1-37+27= 0 ➜ 1 (1-1) (1-2)=0 1₁=0, A₂=1, d3=2 X 2X 21 Y₁₁(x) = C₁ + c₂e² +₂e² U₁1, U₁₂- and U₂=2² е…

A: Given.

Q: Find (dy/dx) for: tan-¹(x + y) + In(x³y) = sinh(y)

A: To find dydx for: tan-1x+y+lnx3y=πsinhy

Q: How did dy dx Show solution pls. ty became d dx (xy)

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Q: Question 14(M A sine function has an amplitude of 3, a period of T. and a phase shift of 03 Oo 0 -3…

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Q: 13. If f is a continuously differentiable real-valued function defined on the open interval (-1, 4)…

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Q: Find the taylor series of the given function: 2x Y = e²x @x, = 3

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Q: H.W. Solve 1) y" - 2y' + y = e* 2)y"+y'-1 = 3 cos(x) 3) (D² + 4)y = 8 sin( 4) y" + 3y' + 2y = 6xe*…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.