When using yi=f(xi) for i=0,1, ..., n to find the Lagrange interpolating polynomial ---p(x), p(xi) should be equal to (Mark 1) f(yi) O xi O O O O None of them O p(yi) O yi O

Q: 59. x² + 2x + 4y - 3 = 0

A: Here we have to find the vertex and focus of parabola.

Q: Suppose that the nth term of the sequence of partial sums for a given series is Sn = 1+2n+3n² 4n²…

A:

Q: Suppose that Mark is flying a kite with the string tied to his glasses (so that it’s easy to measure…

A: To find how far above the ground the kite is flying.

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

A:

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

A: Given that, A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another…

Q: Find the area of the segment of a sphere formed by revolving the graph of y = √25-x2,0 sxs 4, about…

A:

Q: 1 1² +49 When solving O a) I = [sen (0) de Ob) I=tan(0)de O c) I = cos(0)de I= O d) I-sec(0)de I=…

A:

Q: 5. Iny+ea²²x+y = 10 -

A: Given :According to given , only 5 solvedlny+ex2y2-x+y=10

Q: 1. If f is a function, then limf(x, y) = f(2,5). (z,y) →(2,5) 2. If lim f(x, y) = 0, then lim f(x,0)…

A: Answer 1. False

Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. BD…

A:

Q: A fast-food restaurant has a cost of production C(x) = 14x + 126 and a revenue function R(x) = 8x.…

A:

Q: Solve the following differential equations |y" + 21y+8x = y" + 5y'+e²x

A:

Q: For the function f, given below, find the antiderivative F that satisfies F(1) = 0. f(x)=x² - 4x…

A: Given :f(x)=x4-4x-3+3

Q: The following differential equation (+1)² + ² = sin a dy dx x has an order of 0 0 O 3 O 1 02

A:

Q: Evaluate f"(c) at the point. 9) f(x) = In (4x - 3), c = 1 10) f(x)=3x2-3, c=1 3x - 4 11) f(x)= 4x-3'…

A:

Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2. 2. Find the length of the r(t)= , 1 ≤ t ≤ 5…

A:

Q: B: Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3)

A:

Q: 2/ Find the limit of the function lim X415 хъ Ч 2 X

A:

Q: -0.1 Using the Trapezoidal rule, the approximated value for the integral: √1+x dx, is equal to о о 1…

A:

Q: Question 3. The parametrization of a curve C is given by r(t) (a) Find r' (π/6). = (sin(t), cos(t),…

A: To find parametric equations of the tangent line to the given curve.

Q: Use the formula for the area of a trapezoid to evaluate √₂² (2x- 2 (2x + 3) dx.

A:

Q: Given f(x) = 3x+8, (a) Find f(x+h) and simplify. (b) Find f(x+h)-f(x) h Part: 0 / 2 Part 1 of 2 (a)…

A:

Q: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x=(0, π). is:

A:

Q: +√³1 (2) dx = -3 and ³ S If it is known that [²₁ √f (a) da = 4, find the value of f(x) dx.

A: To find out the integral value.

Q: Find the area of the region enclosed by the graphs of the polar curves given by 8/4, 0 = 0 and r cos…

A:

Q: A particle moves in the yz-plane along the curve represented by the vector-valued function r(t) = (4…

A:

Q: 9. Integral (2x-5) ai x² = 5x + 3 -

A:

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

A:

Q: A region bounded by f(x) = 3 − x, y = 1, and x = 0 is shown below. Find the volume of the solid…

A:

Q: Evaluate the following antiderivatives. S dx √x²+2x+5

A:

Q: Write the partial fraction decomposition of Do not determine the numerical of the coefficients. x2…

A:

Q: The velocity function is v(t) = t2 - 4t+ 3 for a particle moving along a line. Find the displacement…

A:

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

A:

Q: The length of an astroid The graph of the equation x2/3 + y2/3= 1 is one of a family of curves…

A:

Q: 2. Find x (round your answer to 2 decimal places) 80° 70° 7 X

A:

Q: Solve. |x-8=24 Select the correct choice below and, if necessary, fill in the answer box to complete…

A: option (A)  is correct. see below the calculation

Q: Find the limit of the function lim_4-√x²+7 X - 3

A:

Q: Which of the sequences {a} in Exercises 31-100 converge, which diverge? Find the limit of each…

A: For the given sequence, If limit of the sequence at n -> infinity finitely exist, then we'll say…

Q: Find the area between f(x)=x² - 16 and the x-axis from x = 0 to x = 7. The area is square units.…

A:

Q: II. Trigonometric Substitution. Evaluate the following integrals using trigonometric substitution.…

A:

Q: For the function f(x) = 2x2 - 5x a) Find f'(x) from FIRST PRINCIPLES b) Use your result from a) to…

A:

Q: Let P be the set of points that belong to the shaded region imaginary The set P is (A) open (B)…

A: We can see that the outer boundary is not included in the region. So set is not closed.  We can see…

Q: Evaluate the following antiderivatives. 2dx x ln x S

A:

Q: and a) x = y² + 1₁ x = 0, y =- y = 2 The volume generated by revolving the region about the line y=2…

A: We can solve as follows

Q: 10. Find the 87th derivative of y = cos(2x) at IT

A:

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

A:

Q: The first thing “e” wanted to do is to “Calculuize” his favourite game, apples to apples. So, one…

A: A box for the apples to apples game such that its width is exactly three times its length and its…

Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤ 0 ≤π/2. 2. Find the length of the r(t)= , 1≤t≤ 5 3.…

A:

Q: 1. Integral e-9x dx

A: We have to solve above integral