Using the two points (x,y) and (x₁,51) to find Lagrange interpolating polynomial, L.(x1) is always equal to 1 O -1 O O None of them O 0 о о ∞

Q: Question 1. A critical point of the function g(x, y) = ey + 3x²y-y is (0,0). Use the Second…

A: See this solution in below

Q: The following differential equation (+1)² + 2²/ x2 dy x² has an order of 02 3 01 = sin x

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Q: I. Integration by Parts. Evaluate the following integrals. 2. [ 2² si r² sin¹rdr

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Q: ४ = (y3/2/3) - y¹/2 from y = 1 to y = 9

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Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

A: here we have to find probability of given  total ticket = 19  we have to find two ticket both are…

Q: 9. Let R be the region bounded by r=1-y²₁ x=2 + y²₁ y=-1, and y = 1. Find the volume of the solid…

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Q: A region bounded by f(y) = 2y + 3, y = 1, y = 3, and x = 1 is shown. What is the volume of the solid…

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Q: S x² e¹x dx

A: EVALUATE USING INTEGRATION BY PARTS  For the function x2e4x .

Q: Consider the integral 11 [™ (22² + 2x + 1) da (a) Find the Riemann sum for this integral using right…

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Q: 5. 3√√xdx 6. S dx dx 7. S- X 8. f s 2dx 3 2x -10

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Q: 7.(a) f(x) tan (In x) + 52 7.(b) f(x) = log2 (tan r) + In (¹)

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Q: (a) Find parametric equations for the line through (5, 2, 4) that is perpendicular to the plane x -…

A: answer is in next step.

Q: T₁ 0 1+e²x dx Hint: e²* = (e*)²

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Q: CHECKPOINT 1.2 Find the sum of the values of 4 + 3i for i = 1, 2,..., 100.

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Q: For the parametric equations r(t) = √t+1 y(t) = t+1 compute dz/dt and dy/dt. Is there any point on…

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Q: S Use The Fundamental Theorem of Calculus, Part 2 to evaluate X -4 dx.

A: A detailed solution is given below.

Q: Question The graph of f(x) = -2x³+x-3 is shown below. Use the tools to graph the line tangent to…

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Q: Give the domain and range of the graph shown to the right. Then, use the graph to answer parts (a)…

A: Domain :  domain is the  all value of x where the function is defined.

Q: Determine if the series. HE 10 n² 4n+3 74 converges or diverges. If the series converges, give its…

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Q: 4: Find the indefinite integral of f(u) = -1-3√ =

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Q: Q2) A: By using partial method solve [2x² cos x dx

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Q: If we know that g is a derivable function such that g'(81) = 6 and f is a function given by f(x) =…

A: Given :f(x)=gx4g'(81)=6

Q: Use a system of linear equations with two variables and two equations to solve. 204 students…

A: To find the pass students and fail students.

Q: 2. Evaluate the definite integral|z- 3| dr. (a) (b) (c) (d) 25 2 25 2 29 29

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Q: car traveling at 45 ft/sec decelerates at a constant 7 feet per second per second. How many feet…

A: Given initial velocity (u)=45 ft/secFinal velocity, as brakes are applied (V)=0Acceleration=-7…

Q: 15. integral sin 4x cos 4xdx

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Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = 4 + xy - x - 2y, D is the…

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Q: Find the location and value of each local extremum for the function. 28) + -3 3 -4 -M

A: To find location and value of each local extremum of given function.

Q: consider the function f, such that f(x) = (ax + 3) * e*. If the slope of the tangent line to the…

A: Topic = Derivative

Q: +[ƒ Given that 5 ≤ f(x) ≤ 6 for -4 ≤ x ≤7, use property 8 of Section 5.2 of the Stewart Essential…

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Q: a. Find a curve with a positive derivative through the point (1, 1) whose length integral (Equation…

A: To find curve satisfying the given conditions.

Q: e” was very happy as he was going to six flags. He pictured the perfect roller coaster and wondered…

A: Solution is here

Q: x²y (z,y) (0,0) x4 + y² If it exists, find lim Answer: Write DNE of the limit does not exist.

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Q: Find the minimum and maximum values of z=6x+7​y, if​ possible, for the following set of constraints.…

A: The given constraints are: x+y≤9-x+y≤32x-y≤12

Q: Let f(x, y) = ln(x + y − 1). Then, ƒ(e, 1) =

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Q: Ex3. Find the absolute maximum and the absolute minimum values of the function f(x, y) = 2 + 2x + 4y…

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Q: What is the area of the region in the first quadrant bounded above by y = -2x + 8 and below by y =…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: A region bounded by f(x) = x² + 1, y = 1, and x = 2 is shown below.

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Q: Assume x and y are functions of t. Evaluate dy/dt. 12) x3+y3=9;- dx dt 13) xy + x = 12; dx dt = 4, x…

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Q: Graph the linear inequality. 4x-y < 4 CIB Use the graphing tool on the right to graph the…

A: Here we will draw inequality,

Q: 12. Integral x² dx x³ +4

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Q: Q/. Find the limit of the function * lim 4-√x²³+7 3 X

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Q: Let [ f(x) dx = 5, -6 Find and -3 [ f(x) dx = -4.5 -4.5 -3 6 (5 f(x) - 6) dx = f(x) dx = 6, f(x) dx…

A: The given integrals are;  f(x) , limit from -6 to -1.5. f(x), limit from -6 to -4.5. f(x), limit…

Q: An object is dropped from 260 ft. above the surface of the moon with an initial velocity of 0…

A: Let's solve for time taken the object to hit the surface of the moon.

Q: A region bounded by f(x) = √√√x + 3, y = 1, x = 1, and x = 4 is shown. What is the volume of the…

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Q: How much money should David invest today into a fund that earns interest at 3.50% compounded…

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Q: 15. y = (In x) Inz

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Q: this is incorrect please resvole

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Q: Q1\A: Find the value of K in the following linear system which is make the solution failure Kx+3y=6…

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