For each of the following tables, complete the table And Answer the questions that fo X Process y 0 1

Q: The points A[−1, 1, 1], B[2, 0,3], and C[3, 3, -4]. Show that this triangle is a right-angle…

A: Please see the explanation Explanation:Step 1:

Q: horizontal asymtotes of x2+3x+2 x−1

A: The objective of this question is to find the horizontal asymptotes of the function (x^2 + 3x + 2) /…

Q: The function f(x) = 1/x^2+1 is concave down on which interval?  Please use step by step detailed…

A: The objective of this question is to find the interval on which the function f(x) = 1/(x^2+1) is…

Q: Please don't provide handwritten solution ....

A: The objective of this question is to find the distance between airports A and C. This can be solved…

Q: 135. Evaluate sin x sin x + cos x sin x dx in two ways: dx, then using the Evaluation a. By…

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Q: Find the area of a triangle PQR, where P = (-3, -3, 6), Q = (4, −2, −5), and R = (1,4,5)

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Q: Can you solve y = ln(2x-3)  in a simple fashion?

A: The solution is x = (ey + 3)/2.Explanation:We solve y = ln(2x - 3) for x  by eliminating the…

Q: Given that f(x) Lπx) dx = 6 and [F(x) (a) L₁ F(X 0 f(x) dx f(x) dx = 9, evaluate the following.

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Q: 11-X2 0 dx x = Sin O the trig aluate using the bstitution x=Sino

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Q: Given f(x,y,z) = x²y³z+ye -√4-x², find the first order partial derivatives f₁, f, f

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Q: Find the number of stationary points for the graph of y=1/2x^4−2x^3−4x^2+11.

A: The objective of this question is to find the number of stationary points for the given function y =…

Q: Evaluate the derivative of the given function at the given point. y = 2x³-3x² + x + 8; (1, 8)

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Q: (4/x3 + 1) dx

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Q: 17 16 15 14 13 12 11 10+ 2 46 8 10 12 14 16 18 20 22 The per capita consumption of breakfast cereal…

A: C'(14)=0.331 C'(17)=-0.0575 •The rate was changng more rapdly in 2004. Explanation:Approach to…

Q: If sin x = 4 , x in quadrant I, then find (without finding x) sin(2x) = cos(2x) = 5 Enter a…

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Q: The Drag, F in Newtons (N) on a certain airplane is 300000000 F= 0.00500² + V 2 where v is the…

A: The drag, F in Newtons (N) on a certain airplane is Where v is the velocity of the airplane (in…

Q: Suppose z = x² sin y, x = s² + 3t², y = 6st. Əz Əz A. Use the chain rule to find oz and 0 as…

A: Suppose .(A) By using chain rule to find  as functions of .(B) To find the numerical values of  when…

Q: Given √,³ 0-12 f(x)dx = 8 and g(x)dx=-4, what is -4 4 12 √,³ (g(x) − f(x)]dx?

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Q: ax.)-( Find the centroid of the region shown, not by integration, but by locating the centroids of…

A: In the given region we have one rectangle and one triangle.Region 1 is rectangle and region 2 is…

Q: Let f(x)=sin(x), find each of the following: find the second derivative, the thrid derivitie and the…

A: The objective of this question is to find the second, third, and fourth derivatives of the function…

Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to find the negation of the given statement. In logic, the negation…

Q: Calculate the area of the parallelogram whose adjacent sides are: a = [5,3,-1] and b = [2, −4,1]

A: Therefore, the area of the parallelogram formed by the vectors (a)  and (b) is  27.08 square…

Q: The curve y=f(x) is shown below. In which region(s) of x is f(x) increasing? A. −1<x<1, x≠0…

A: given a function f(x)

Q: Find the length of the indicated portion of the curve. r(t) (3e cost) + (3e sint)j+3e'k. - In4sts0…

A: Given:To find:The arc length is calculated as-

Q: (f'(x))² = 4 (52 – 8) - 25 = 20x 32 (f'(x))2 into the surface area equation above to find Surface…

A: To show

Q: lim (x,y)→(1,1) 2x² - xy - y² x² - y²

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Q: Solve the given system of differential equations by systematic elimination. (D+ 1)x+(D1)y = 8 9x+…

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Q: Verify the identity. sin 160 4 cos³40 sin 40-4 sin³40 cos 40 Statement sin 168 Rule Pythagorean

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Q: 5 ст The slope of the tangent line to the curve y = at the point 8, is: x 8 The equation of this…

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Q: 2.An MRT train 6m above the ground crosses a street 9 m/s at the instant that a car approaching at a…

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

Q: Find к for the space curve r(t)=(12 sin t) + (12 cost) j +9tk. K(t)=[ (Type an exact answer, using…

A:

Q: On what interval(s) is the function f(x) = x9= 9x8 + 17 both increasing and concave up? (Enter your…

A: Given the function

Q: Find к for the space curve K(t)=☐ (Type an exact answer, using radicals as needed.)

A:

Q: Suppose that f(x) = 16x6 In(x), x>0. (If an answer does not exist, enter DNE.) (a) Find all…

A: Note- As per company guidelines for a question posted we are allowed to solve first three sub parts…

Q: Estimate ƒx and ƒy at point B. 70 50 30 4 2- -30 C 10 B 0- -10- 0. -30 -2 -10 10 A. -50 -70 -20 -4 0…

A: fx​(B)=−6.9fy​(B)=13.9Explanation:Step 1: From the graph at point B, For x=−2.75, f(x,y)=20 The…

Q: Find dy dx if y = √Inx +1. 1 dy dx 2 x √In(x)

A:

Q: 3. Verify the linear approximation at (0,0). 1 (a) ≈x+y1 x+1 (b) e cos(xy) = x + 1

A: To verify the linear approximation at

Q: 5) If f(x)=6x sin" '(x), find' (x) f'(x)= Find f'(0.7) f'(0.7)= 6) Evaluate the integral S 0.8 dx…

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Q: Find the exact value step by step of each expression.

A: The final answer is given by:(i) csc−12​=4π​ (ii)tanθ=5​2​=525​​ (iii)cos(2sin−1135​)=169119​…

Q: Can you give me an example question or problem that meets the following criteria: 1. How to…

A: The objective of this question is to understand the process of determining the parametric equation…

Q: πT Find the length of the curver = 11sece over the interval 0≤0 Round 3 your answer to two decimal…

A: Answer is option C)19.05. Explanation:

Q: The vector u has length 11 and points at an angle of 20°. The vector v has length 17 and points at…

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Q: Given: x³-3t, y=t²-5 = a) Find the points on the curve where the tangent is horizontal or vertical.…

A: Given: To Find: (a) The points on the curve where the tangent is horizontal or vertical.(b)  in…

Q: მ2 Use the chain rule to find 3 and 4, where 8s5t, y=5s + 6t = x² + xy + y², x = 8s + 5t, y First…

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Q: 7) Use sun and difference formula to verify the identity cos(A+B) cos(A-B) = cos2A + cos2B-1 A-B) =…

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Q: The graph of the derivative of a continuous function f is shown. (Assume continues to .) y 4 y-fix 2…

A: As per our guidelines we can answer only 3 subparts of a given question so kindly repost the…

Q: Use Stokes' theorem to evaluate te (▼ × F) - dS where F(x, y, z) = −5yzi + 5xzj + 7(x² + y²)zk and S…

A: Given :-and S is the part of the paraboloid  that lies inside the cylinder  oriented upward.Evaluate…

Q: what technique should be used to evaluate these integrals a. Sx (cosx 2) dx b. Sx cos(x) dx √√√x…

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Q: Use logarithmic differentiation to find dy/dx.

A: Answer is given below Explanation:

Q: Find T and N for the space curve, where t> 0. r(t)=(7 cost+7t sin t)i + (7 sin t-7t cos t) + 3k T= i…

A: