Evaluate s 2°ds Oa 2 (sln2-1) (In2)2 2" In2 Oc sin2-1) (In2)2

Q: Q5/ Use Linear Regression to fit the following data: 1 3 4 Y 4 9 10 10 8. 00

A: Follow the procedure given below.

Q: SVx+3(x+ 1)dx r64 dt ap 2 +-2^)

A:

Q: |Find the average distance from the origin over all the points in the unit circular disk 2² +y? <1.…

A:

Q: Question Use the second derivative test to find the location of all local extrema in the interval…

A:

Q: Find an equation of the plane that passes through the points (1,5, 2), (3, 4, –2), and (-–5, 5, 1).…

A:

Q: Let slx) = tan X %3D 3, ind ) tanx dx using Lebesgue in tegral.

A: To evaluate the integral.

Q: sequence

A:

Q: PART II. Find the derivatives of the following expression, solution must be presented. (3 marks…

A:

Q: (x+y)dx-dy = 0 xy The equation O Linear O Homogeneous O Separable 1st order ODE O Bernoulli O Exact

A: We want to find the correct option.

Q: Find the volume trapped between the cone z = 2 – Vx² + y² (upper) and the paraboloid z = x² +y².…

A: We need to find volume.

Q: Cha invests Php5,000 in an investment that earns 6% per annum. How many complete years does it take…

A: Given Cha invested(P)= Php5,000Rate of interest (R)=0.06Time (t)=?Amount (A)=Php 10,000We know that…

Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 81 is…

A:

Q: y In x – x In y = 4, y' y In (x² + y² )= 2 arctan 2) = 2 arctan y'

A: This question can be solved using the concept of differentiation of implicit function.

Q: Given the function: f(x,y) = 4x*y² – 10p +y , find f a. 16x'y-60xy O b. 48x°y O C. 16xy – 10y O d.…

A:

Q: Evaluate the following integral using Partial Fractions Method: x3 + x2 y = dx x² + x – 2

A: Let…

Q: 24. y' + y = -x/y

A: We have to find the solution of the given differential equation.   According to our guidelines we…

Q: An object moves with acceleration function a(t) = 5 + 2t – 9t². Its initial velocity is v(0) = 6 m/s…

A:

Q: f .5 p(t)dt = 24 3 and .5 | p(t)dt = 9.6 vhat does the following integral equal? p(t)dt = 3

A: Us definite integration property

Q: Find the distance between the skew lines: x = 4+ 9t, x = 4 – t, y = 3+ 2t, z = 7 – 4t y = 9, z = 8+…

A:

Q: Find the 0lar eauatiDo for the curve represented by the given Cartesian euation.

A:

Q: +1

A: I have stated the used formula in the solution

Q: Obtain the general solution unless otherwise instructed A. LINEAR EQUATIONS WITH CONSTANT…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: Q3) Evaluate triple integral , dz dx dy.

A: Topic = Integration

Q: For the functionf(x) given below, evaluate lim f(x) and lim f(x). x00 X→ー0 f(x) = -5x - 3x + 2 cos…

A:

Q: What is the general solution of the system x − 2y + z = 3 2x − 3y + z = 8   Multiple choice…

A:

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: We have to slove differentiable function above question

Q: Show that the lines L1 : x = 5 – t, y = 2t, z = 1+t and L2 : x = 1+ 2t, y = 3 – 4t, z = 5 – 2t are…

A:

Q: Consider a continuous function f(x). The function has critical points at x = -7, x = -2, and x = 7.…

A: f(x) has critical points at x=-7 , -2 , 7Since f''(-7), f''(-2) is positive ⇒There is local minimum…

Q: Question For the function given below, which statements concerning Rolle's theorem are true? —3х - 1…

A: This question is related to Rolle's theorem, we will solve it using given information.

Q: Evaluate the following integral using Partial Fractions Method: x3 + x2 y : dx x2 + x – 2

A:

Q: 1.5 (3-x Evaluate the integral L* dy dx using polar coordinate

A:

Q: x² +2 dx (x – 2)(x² – 2x + 2) 1. -

A:

Q: At what rate is the distance between the planes changing? Step 1 Let s denote the distance in miles…

A: Topic:- geometry and application of derivatives

Q: Evaluate r(g(t)) using the Chain Rule: r(t) = (e', e", 4), g(t) = 2t + 5 %3D r(g(t)) = ( %3D

A:

Q: 9. (D² – 2D + 5)²y = 0 10. (D² – 2D – 3)y = 0 when x = 0, y = 0, y' = –4 %3D -

A: We will solve auxiliary equation then we will find the solution.

Q: Question A 5-foot ladder is leaning against a wall. If we push the ladder toward the wall at a rate…

A: let x be the distance of bottom of ladder from the wall andy be the distance between top of the…

Q: 1 sin? (0)d0 2

A:

Q: Find the directional derivative. g(s,t) = s√t , (2,4), v = 3i - j

A: Given:         g(s,t) = s√t ,         Point: (2,4)         v = 3i - j

Q: If f(x) and g(x) are continuous functions and p(x) = f(x) × g(x) use the table below to evaluate…

A:

Q: (b) / Vx² – 4 dx

A:

Q: Evaluate the following limit: x² + x- 2 lim- x-1x2- 2x + 1 If it does not exist enter DNE. Round to…

A:

Q: Cha invests Php5,000 in an investment that earns 5% per annum. How many complete years does it take…

A: The given problem is solved below in detail.

Q: Question 5 For what value of a is the function t-1, - 10<t<3 f (x) = t²+ 10t, 3<t<10 continuous? O…

A:

Q: 3 5 8x 15 dx 5 x4 |

A:

Q: 3. A body moves along a horizontal line in accordance to s= t3 + 9t2 + 24t. Find the total distance…

A:

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A:

Q: ) Oppositely directed to v = (15, –18) and half the length of v. w = (?, ?)

A:

Q: sin7t sin4t dt =- 121 – cos 31) dt A) True B) False

A:

Q: given below, evaluate lim f(x) and lim x→-00 f(x) = -4x² + 2x +4 sin (9x) ses without bound, you…

A: We have to find the following conditions according to the given information

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Solve the following