Find the lim x→2x-2 x2-4 O 3/4 O 1/4 None of these O undefined

Q: 3dt 2t+8) Jt +1

A:

Q: y' + 3xeY = 0

A:

Q: The integral of the given function ſ cos 3ydy is a. sin 3y +sin³3y + . sin³3y – sin³3y +sin53y + C…

A: Topic :- application of integration

Q: Find the value of x for which the value of the function f(x) = x +3x2 - 2 is minimum? %3D Answer:…

A:

Q: x2 - x- 6 Evaluate the lim *2 7x- x²-12 3/7 O does not exist O None of these O 2/5 O 417

A: topic - limits option none of these will be applied as 2/7 is not in the options

Q: he sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

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

Q: V y-2+1 dy

A: Please see the answer below.

Q: (sec3x The integral of the given function f (sec dx is \tan3x. cot³3x cot3x + C 3 а. 9 cot3x cot3x…

A: cot2x+1=csc2x sec(x)tan(x)=csc(x) ddx(cotx)=-csc2x ∫xndx=x(n+1)n+1, for any real number n.

Q: estion Evaluate:S sin (3x) cos³(3x) dx r answer estion Ising Trigonometric Substitution, evaluate: -…

A: Solution:

Q: At which points on the curve y = 1 + 40x3 - 3x5 does the tangent line have the largest slope? (x, y)…

A:

Q: 2. A= B = 23 DA+B @ Ao+B

A:

Q: dy S4ト9-とト」

A:

Q: TRUE OR FALSE 1. ∫(4csc2x - 3sec2x) dx = -4cotx - 3tanx + C 2. ∫6x2e2x^3+1 dx = 3e2x^3+1 + C 3.…

A: We have to find the solution

Q: Suppose we have f (x, y) = x + 1' What is the level curve for f (x, y) = 5 ? (a) a parabola (b) a…

A: Let's find.

Q: A stone is thrown straight up from the edge of a roof, 600 feet above the ground, at a speed of 16…

A: The answer is in below steps.

Q: Use THIS standard form for a tangent plane: - fz (x1, yı) * (x – x1) – fy (x1, yı) * (y – y1) + (z –…

A: Given

Q: Given: -8 17 cote = %3D

A:

Q: 4. (a) Show that the line l given by l: 1= 2+3t, y=1+4t, z= 5+ 2t, te R, lies in the plane II given…

A: Given problem:- Show that the line  given by   l : x = 2 + 3t , y = 1 + 4t , z=5+2t ,t in R   lies…

Q: ) = sin x + cos(1+x²) – 1 ng secant method with initial guesses x, = 1.5 x1 = 2.5 each item to a…

A: To solve the problem using secant method

Q: 5) The solution of the volume of triple integrals r1-x 5-r dz dy dx is:- 30 A) 5 20 В) з С) 30

A:

Q: 3. Find the orthogonal trajectory for the family of straight lines passing through (3,-5).

A:

Q: 22+88

A: The given data is: 22+88 To find the value of the sum.

Q: -Arctan + dx The integral of the given function S (x²+4)2 is Arctan + C 8(x²+4) 16 b. - Arctan- + а.…

A: Given:   ∫dxx2+42

Q: For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is…

A:

Q: 2xydx+(x^2)dy=0

A:

Q: Using the substitution Z=V x+2, the integral xVx+2 dx is equivalent to | 2°(?+ 2) dz 1 | 22?(z?+2)…

A:

Q: Find the limit of s(n) asn→ 0, 4 s(n) = n3 n(n + 1)(2n + 1) 8

A:

Q: (x? - 1)² dx = x$/5 - 2x/3 + x + C Select one: O True O False Jdx/(1 - 2x) = 1/2 In|1 - 2x| + C…

A:

Q: Example 2 Compute (a) (1+i)/(3-i) and (b) (1+i)4.

A:

Q: (k +3)! kk Consider the series ak k=1 a) What is ak+1? ak-1= ak+12 b) What is ak ak-1/a = ak+1 c)…

A:

Q: Approximate the root of f(x) = x - 3 with the bisection method starting with the interval [1, 2].…

A: According to Bartleby's guidelines we are allowed to solve only 1 question at a time. Apologies for…

Q: За. й —; й —

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

Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

A:

Q: Evaluate lim f(x+h)-f(x) h-0 where f(x) = 2 – 3x². h None of these -X 6x O -6x O 3x

A:

Q: ompute the Riemann sum for the given function on the interval using the partition A and the given…

A:

Q: Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

A:

Q: a) Find the degree 3 Taylor polynomial T3 (2) for the function f(x) = 4 cos(r) centered at the point…

A: The function f(x)=4cos(x) centered at the point a=π4

Q: Here are three functions involving exponential functions: i) s(x) = = (e" – e*) $(x) iii) (x) = c(x)…

A:

Q: Convert - 240° to its radian measure.

A: Given  240°

Q: The functions f and g are continuous and differentiable with f'(x) = g(x). Selected values of the…

A:

Q: 3. A metal plate is lying in the region bounded between the circles r? + y² = 1 and 1² + y? = 4 and…

A:

Q: A copper ball is heated up to 100°C. It is then placed in a water whose steady temperature is at 25…

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A:

Q: 3. Find the domain and the range of the functions below. a) f (x) |x | b) g (x)

A:

Q: For 5, Sketch the region enclosed by the given curves. Find its area. Make sure you show how you…

A:

Q: Find the x values of all the horizontal tangents to the function f(x) = cos.x + /3 sinx on the…

A:

Q: A student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

A:

Q: Find the iimit oT X SP approaches zero from the left. x -3.62330136 t-0.827974189 4- 2 10 12 does…

A:

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2…

A:

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = , (1, 7, 7) 10 z…

A: We have to find equation of tangent plane