dy 1 dx 3y3 By the method of separating the variables y = x3 y = Vx+ c Option 1 Option 2 y = vx + c y = Vx + c %3D Option 3 Option 4

Q: Solve the following set of equations with LUdecomposition: 3x1 – 2x2 + x3 = -10 2x1 + 6х2 — 4хз — 44…

A:

Q: 3. Find the volume of a solid of revolution generated by revolving the region under the line 2x +1…

A: Volume of solid = integration of πf(x)^2 dx from x1 to x2

Q: The triple integral SLS (x+2y – 2)dxdydz is equal to -8 -1

A: This can be solved as follows:

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A:

Q: 1. Find the derivative of the following: (Simplify your final answers.) sech h. j(r) = e (Using…

A:

Q: The radius of a sphere was measured and found to be 7 cm with a possible error in measurement of at…

A:

Q: 6. DETAILS Verify the statement by showing that the derivative of the right side is equal to the…

A:

Q: 1. Find the derivative of the following: (Simplify your final answers.) (a³-8)° (Va²+4) g. g(a) =…

A:

Q: Solve the linear differential equation dy y 2x2 dx

A: This ODE can be solved as follows:

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Suppose…

A: I have appended the formula used in the solution part.

Q: For the following function f, find the antiderivative F that satisfies the given condition. 3 f(v) =…

A:

Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

A:

Q: , The equation y2(y? – 4) = x²(x² – 5) is known as the devil's curve. Give an equation for the…

A:

Q: 2. Write down the name of the conic given by the polar curve r = 6/ (3 - 2 cose). Determine the…

A:

Q: The equation y2(y² – 4) = x²(x² - 5) is known as the devil's curve. Give an equation for the tangent…

A:

Q: Find the total area of the region between the x-axis and the graph of y = -x - 3x, - 6sxs1. The…

A:

Q: Use the mean value theorem to prove the inequality for all a and b: Isina – sinb| < |a - b|.

A:

Q: Let C(x)= x2+4x+1 dollars be the cost function, where the x represents the quantity. The estimate…

A: Cost

Q: x2 – 3x – 2 - if x 4 f(x) = /2x + 1

A: To find which discontinuity is at x=4.

Q: determine maximum/mininum local values and its saddle points for this function  f(x,y) = 3x^4 +…

A:

Q: Derivative of f(x) and derivative of g(x) are equal. Then f(x) = g(x). %3D Select one: O True False

A: Answer is given with example.

Q: of the minor axis to the major axis? A) 3 B) 3 ulw wIN

A:

Q: A line is parameterized by x = 5 + tand y = 6t. (a) What part of the line do we get by restricting t…

A:

Q: y" + y" – 4y' – 4 = 8x + 8 + 6e™

A:

Q: (a³-8) g(a) = (Va²+4)* .3.

A: The given function,     ga=a3-86a2+43

Q: Q1 - A coin throw three times find: 1. Sample space 2. Probability at least head appear twice…

A:

Q: CORRECT

A: We have to choose the correct option from the given options according to the given information

Q: d Calculate r1(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

A:

Q: 44. V 3(-4V3. –2V3)

A: Given  Vector

Q: Vector Calculus Given, A = 2? zi – 2y32j+ x} zk. Find divA at the point (1, –1, 1).

A:

Q: Find y' if x Y= y* %3D

A:

Q: A MANUFACTURER NEEDS TO MAKE A CYLINDRICAL CAN THAT WILL HOLD 1.5LITRES OF LIQUID. Determine the…

A: Follow the procedure given below.

Q: Derivative of f(t) = 8^t[(2t+1)^2+t] using Chain Rule

A:

Q: Given two vectors u and v that form an angle of 60° (when joined tail to tail) and given that | V| =…

A:

Q: Question 7 Find the volume of the solid that results when the region enclosed by the given curves is…

A: We need to find volume of enclosed region.

Q: ||r'(t) × r"(t)|| ||r'(t)||³ Use the formula k(t) = to find k(t). r(t) = t²i + t5j 390 t14 K(t) = 3…

A:

Q: Find the derivativo of the following . Simplify the answer t #o (Rationalize the denonina tor in…

A: derivative

Q: Let, \(f(x)=4x^2-12x+10\). Find: (a) the X- coordinate of all critical points, b) the open intervals…

A:

Q: sech (r?t2 using logarith mic differon Tiation ニ r

A:

Q: Sketch the graph of the cardioid r = 1 + cosθ and the circle r = 3cosθ. Shade the region that is…

A:

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A: Given that a card is drawn from a well-shuffled pack of 52 cards To find the probability of (iv) a…

Q: 1. Consider the curve C with parametric equations Sx(t) = t3 – 3t +1 lu(t) = t(t +1) defined for t e…

A: Given information:  xt = t3-3t+1yt = tt+1               , where t∈ℝ.…

Q: kindly solve for uts derivative. ty and show complete solution. Pls answer asap

A:

Q: Find the n-th Taylor polynomials for 1 about x = 3 and express it in f(x) = x+ 2 sigma notation.

A: Taylor polynomial of nth degree of f(x) centered at 'a' :          f(x) = f(a)…

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A:

Q: (a) 2. A bug begins to crawl up a vertical wire at time t=0. The velocity v of the bug at time t,…

A:

Q: dæ is equivalent to Using the substitution u = x + 1 Vx + 1 1 -du 1/2 du du -1/2 du - 1) /u2

A:

Q: х+2 dx х — 1 1. Find the integral а. х + In(x — 1)3 + с b.x + In(x - 1)? + с с.х + In(x — 1)4 + с…

A:

Q: What are the 4 cases of partial fraction decomposition?

A: What are the 4 cases of partial fraction decomposition?

Q: Given the three vectors å ,b and ở in 3D. The following question is t termine if operation involving…

A: We can solve this as follows: