2.x3 – x² + 2x – 2 dx x² (x² – 2x + 2) - -

Q: Find the exact value of the indicated trigonometric function of 0. 4 31) tan 0 = -, 0 in quadrant II…

A:

Q: Consider the function f(x, y) = 3x² – 4y² subject to the condition x? + y? = 36. Use Lagrange…

A: Here, the given function is: f(x,y)=3x2-4y2 subject to the constrain g(x,y):x2+y2-36=0...(1)

Q: Identify and sketch the graph of the following equations in R. (a) r? + 2y? + z2 – 8x + 12y - 2z +…

A: answer is in next step

Q: at is the area enclosed by the curve r = 2 cos 36? wer is in square units. Use two (2) decimal…

A: To find the aera.

Q: Let (x* + 5)' a Let [(x* +5) x*dx = 12116. Then the value of a is ...

A:

Q: x + 2, untuk x 3 The following statements are true, except x + 2, untuk x3 Pernyataan dibawah ini…

A:

Q: Find dy/dx: a. 3x? – (xy²)/2 = 2y³ b. y = (cosx – nx)^**

A:

Q: Determine whether the following series is convergent or divergent. 3- Vn (a) n=1

A: Solving

Q: 3/2 5. Find the exact area of the surface obtained by rotating the curve x =- Show All Work and Give…

A:

Q: Find the area of the region bounded by the given curves. y = x², y = 4x – x² - ly=x²

A: We have to find area of bounded region.

Q: Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); i и

A:

Q: 4 En=1 3 3n

A: The summation of 4/(3n-n1/3) , n from 1 to infinity.

Q: a) y = 6x2/3 - 4х + 1

A: Follow the procedure given below.

Q: Consider the polar curve r = sin(30). Sketch the polar curve on the inter 0< 0 < 27/3.

A: Solution: Given data, r = sin(3theta)

Q: FALSE if otherwise. Prove your answer. (b) If the power series > an(x + 1)" converges at x = 2, then…

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A:

Q: 1 III. Consider an 1 for n eN = {1, 2, 3, ...}. 2n + 1 2n + 3 Find a general formula for the kth…

A:

Q: the differential equation dy/dx + y/x = y^2 is solved via the substitution z=y^-1, the resulting…

A:

Q: Given: an = In(n + 1) – In(n) for n e N Determine if the following is convergent or divergent. (a)…

A:

Q: 6x – 8x² – 5 · dr (2r – 1)(4r² + 1) (c)

A: Student has specifically asked for the solution to the Question(C). Hence that problem is answered…

Q: d²y Find and dx then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 x = t2 –…

A: We have to find first and second derivative for the given parametric function.

Q: Calculate the integral, assuming that f' f(x) dx = -3, f(x) dx = 3, f* f(x) dx = 10. %3D (Use…

A:

Q: Consider the tollowing Maclaurin series: (-1)"x2" (2n)! CS X = for all x € R. n=0 1. Let f(x) =…

A:

Q: Evaluate the integral - dx · 1- sin x cos X

A: The given integral,       ∫cos x1-sinxdx

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A:

Q: Consider the parallelepiped with adjacent edges u = 7i + 3j + k v = i+j+3k w = i+ 8j + 6k Find the…

A: As per given question  We are going determine the volume

Q: 6. Find the surface area generated by revolving the curve x = 5 cos' t, y = 5 sin' t, 0sts, about…

A:

Q: - Evaluate the following integrals. 1 1. J x(9 – In² x}5/2 dx

A: To evaluate: ∫1x9-ln2x52dx Let, I = ∫1x9-ln2x52dx

Q: What is the area enclosed by the curve r = 2 cos 30? Answer is in square units. Use two (2) decimal…

A: First draw the diagram then find the interval and last intergate it.

Q: Use the method of Lagrange multipliers to find the points on the circle x2 + y2 = 52 that are…

A:

Q: Given: a, = In(n + 1) – In(n) for n E N || Determine if the following is convergent or divergent.…

A: Given  an = lnn+1 - lnn for n∈ℕ.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-4,…

A:

Q: A box is designed so that 4 cans of soup fit tightly into the box, as shown below. ABLE VEGETABLE…

A:

Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci. Show…

A:

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 2j as…

A:

Q: xy + y² dx dy Find the general solution of x2 dy Solve 2xy dx x² + y? given that y = 0 at x = 1

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A:

Q: Evaluate the definite integral. "1/4 9 + 5 cos?(8) cos?(e) de

A:

Q: 3 5). | e2x dx -1

A:

Q: State difference between Roll's Theorem and Lagrange's Mean value theorem.Is the Roll's theorem true…

A:

Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A: The given function is;  f(x,y,z)=xyz Constraints : x+y+z=16, x-y+z=12.

Q: 3. 2+ 1+ +++ ++ + 2m -2m

A: Answer : y=5sin(x/3)

Q: +o0 In(tan -1 x) dx 1+x2 1

A:

Q: ax²-3 -,х> 1 x-1 Value of a and b that will make f (x) = continuous everywhere are ... lbx + 2, х <…

A:

Q: Solution of lim (Vx² +1 – x) is ... x→ 00 Tentukan lim (vx² + 1 – x) x→00 1. O 1 2. O infinite 3. O…

A:

Q: VII. Let f(x) = %3D 1– 3x 1. Find a power series representation for f(x) for all r € 2. By first…

A: Solution is given below:

Q: 00 3n+1 6n-1 n=0

A: topic - geometric sequence

Q: If m < f(x) <M for a <x s b, where m is the absolute minimum andM is the absolute maximum of f on…

A: We need to find smaller and larger value.

Q: x² + 2 xp (х — 2)(x2 — 2х + 2)

A: The given integral is: I=∫x2+2x-2x2-2x+2dx   We know that; ∫1ax+bdx=1alnax+b+C