Q/Use Lagrangian polynomial to find f'(2.1) from the following table x 1 2 3 17 22 f(x) 10

Q: 1. Evaluate the given integral Q. Q • S S (² (x - y) dx dy -

A: Evaluating the given integral

Q: Find the gradient of the function g(x,y) = xy² at the point (3, -1). Then sketch the gradient…

A: Given:        Function gx,y=xy2   The gradient of function                  ∇gx,y=gx,gy   Taking…

Q: A product is introduced to the market. The weekly profit (in dollars) of that product decays…

A: First we rewrite the profit function in terms of t.Then differentiate p(t) with respect to t.

Q: (20-0) Given that = 5and 이히 = 3 1 6. Round your answer to one decimal place. = 3 and that (2a ›(à +…

A:

Q: The points R(-1, 1, -3), S(3, -3, 6), T(0, 0, 10), and U(2, 4, 7) are the vertices of parallelogram…

A:

Q: 9. f(x) = xe−2*, a = 0

A: According to bartleby guidelines I can only answer the first question of the two given.

Q: Find the binommal coefficient (4)

A: Topic = Algebra

Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x

A: We need to find critical point and graph.

Q: 1. Evaluate the given integral Q. Q 2= 1 L (₂² (x² - y) dy dx Your answer 2. Sketch the region of…

A: In the given problem first we sketch the region of integration for Q and then reverse the order of…

Q: Consider the functions z= - e In y, x= In (u cos v), and y = u sin v. dz dz (a) Express and as…

A:

Q: d. In 1000 x limx→+00 X5

A: Let's evaluate limit.

Q: 8.1 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION.

A: To find out the family of curves whose slope is given.

Q: What is the solution of 5 |x - 2|dx

A:

Q: The are of the parabola y=x² from (1, 1) to (2, 4) is rotated about the y-axis. Find the area of the…

A: Let's find area of the resulting surface.

Q: 2. Which is the interpretation of the statement lim f(x) = L? i. For all x values close to c, but…

A: As per bartleby guidelines we only give first three question answers.

Q: Find the domain of =) = √x² – 3x

A: Given query is to find the domain of the function.

Q: Electric charge is distributed over the disk x² + y² ≤ 11 so that the charge density at (x,y) is…

A:

Q: 17. 1 2! 1.3 + (−1)″−¹. 4! 3! 1.3.5 1.3.5.7 n! 1.3.5 (2n − 1) ... +

A:

Q: 2. Show that the function g defined by VVT y² + √² 2, is not continuous at (0,0). (z,y) = (0,0)…

A:

Q: Find Ans= dy dx for y = 3x + ex x² - 5

A: Using formula of d/dx(U/V)

Q: Find an equation for the plane that is tangent to the surface z = In (x + y²) at the point P(0,1,0).…

A:

Q: b. lim x->0+ -3/x 2 X²

A: A detailed solution is given below.

Q: S²₁ A Select one: dw w√w²+3 a. 0.0128 O b. -0.0234 0 с. c. -0.0128 O d. 0.0234

A:

Q: Find binomial coefficient (3)

A:

Q: 3√3 dx √3 x² √√x² +9 2

A:

Q: dr Evaluate - x(x²-4) ² Select one: Ⓒa.- +aresec)+c √√√²4 b. (+aresec)+c (+arcsec)+c O.C. - O d.…

A: This is a problem related to integral calculation. Based on the general formula and concepts we will…

Q: Evaluate the integral. 34 1 8- dx

A:

Q: f) y = sin-¹ (x² - 1)

A:

Q: dy 5. Use Implicit Differentiation to find dx a) 4xy + x² = 4 - Iny³

A:

Q: f (x+2) In (x+2) - 4 tc (x+2) Xt *+ 2

A:

Q: 2) Given the vectors a-[4, 2, -6], b-[6, -3, 2], and c-[-5, 0, 4], simplify the following vector…

A:

Q: 3. A particle moving along the x-axis has velocity function v(t) = t²e-t. How far does the particle…

A:

Q: V. En el siguiente ejercicio obtent 1 + Int 1 - Int

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: air resistance can be ignored, how high does it go?

A: Given query is to find the height of the ball.

Q: 12. Find the integral of S (x². √(x² + ² =) dx

A:

Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Let the length of a diagonal is = d1=x m So the length of the other diagonal = d2=(x+2) m. Given…

Q: y' = X 2 h

A:

Q: 2. Find the following integrals: a. √3x²-x+5 b. S 3x² √x3-10

A: We can solve this as follows:

Q: Water is leaking out of an inverted conical tank at a rate of 10300 cubic centimeters per min at the…

A:

Q: d. lim+ In 1000 X X5

A:

Q: O f(3x² + sec² 2x) dx

A: Given query is to find integral.

Q: If y = 1 and 2 = 1, find Select one: a. -1 O b. -t O c. 1 O d. t

A:

Q: 2. Two cars leave from the same position at the same time. One travels due North at 30 mph, while…

A:

Q: This question is designed to be answered with a calculator. A kettle of hot water, initially at…

A:

Q: Find the center of the mass of a thin plate of constant density & covering the region bounded by the…

A:

Q: Find the integral of f(x³ + 1) Inx dx

A: Given :∫x3+1lnx dx

Q: Andrew is an ecologist investigating a pond. He notices that an algal bloom is growing in the pond.…

A: To find out the rate of area.

Q: Evaluate lim zo the limit sin 7x sin 2x

A:

Q: 10. f(x) = x³ + 1

A: Here, the given function is: f(x)=x3+1 Here, the y-intercept is (0,1) and no x-intercept is (-1,0)…

Q: In a "one whole sheet of paper" graph the following sine function. Determine the amplitude, period,…

A: