3. The radius of a sphere ball is measured at r = 25 cm. Estimate error in the volume and surface area if r is accurate to within 0.5 cm.

Q: Exercise (b) the centroid of the region bounded by the graphs of the equations Step 1 The region is…

A: Please see the answer below.

Q: 12 - y+ ] - dy = |+C

A:

Q: (A): solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

A: Calculation of determinant is the key requirement of this problem.

Q: y = sin(x), y = 0, x = 0, x = Exercise (a) the volume of the solid formed by revolving the region…

A:

Q: The line graph shows the average number of awakenings during the night for men and women of…

A: To find the difference between the average of awakening during the night.

Q: Compute the indefinite integral of the following function. r(t) = (13 cost,7 cos 5t,3 sin 6t)

A:

Q: 1) - 7x²+14x+15 (x²+3)(x+7) dx

A:

Q: Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim-00 2n+1 2. log10 (3x…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of…

Q: 1. Find the second-order prediction error filter and the prediction error variance for the random…

A:

Q: The curves y = 2x - x 2 and y = 3x2 - 6x are used to form the boundary of a thin plate of uniform…

A:

Q: Evaluate the function at the given values of the independent variables. Simplify the results. f(x,…

A: Topic = Functions

Q: aluate the following integral in spherical coordinates. This integral calculates the volume of the…

A: See this solution in below

Q: dw (C): If w = tan x and x = 4t³ + t ; Find dt

A:

Q: (d) Determine the y-intercept(s). (e) Sketch the function. (f) Determine the axis of symmetry. (g)…

A:

Q: Sketch the plane curve. r(t) = 3ti - tj, [0, 3] y O 2 1 -1 -2 y 3 2 - -1 -2 2 4 4 Find its length…

A: This question is related to vectors and parametric equations, we will solve it using given…

Q: Q3/ A. For the following function f(x). Find: i. iii. f(x) = x² + 1 The slope of the f(x) by using…

A: We need to find out the slope using the definition.

Q: nd the limit (if it exists). (If an answer does not exist, enter DNE.) 15 lim (x,y) → (0,0) x6y²

A: To  find the  limit.

Q: Question 3 Find the Wronskian of two solutions of the differential equation t²y" — t(t − 2)y' + (t −…

A: To find out the wronskian without solving.

Q: Find the particular solution of the differential equation given that, when x = 0, y =-4 and Q3 *…

A:

Q: -2- 0 y = g(x) 4 7 x

A:

Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

A: See this solution in below

Q: e (5-x) dx = xydy

A:

Q: 3): Find the tangent equation to the curve y = sin² x at point x =

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A:

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A:

Q: Q2/A Cylindrical tank with radius of (3 m) and height of (10 m) has initially filled with water. In…

A: Please see the below picture for detailed solution.

Q: Q5: Find for the following functions: (1) In(x - y) = xy + y³ (2)y=tan³ √/cot(7x); (4) y = x sinh…

A: Solution is given below:

Q: Q4: Answer two only: 4 2 2 1 -1 1 (A): If A = -2 Find AB and AC. 01 0; 2 B = 2 -1 3 -2 -2 and 2 1 3…

A:

Q: Q3 (A): By using "L' Hopital rales "; Find the limits of: (1) limal; (2) Itm X(tan-¹x-x)

A: I have solved step by step in detail...go through the solution

Q: Suppose the speed of a car approaching a stop sign is given by v(t)=(t−13)2​, for 0≤t≤13​, where t…

A: The given data is: vt=t-132, for 0≤t≤13 (a) Find v'7

Q: 9. (x²-x+y) dx - x dy = 0 10. (2y² + 2y + 4x²) dx + (2xy + x) dy = 0

A:

Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x + y + 2z = 1…

A:

Q: 1 2 Identify the true statements. Incorrect 3 4 56 f(1) is a local maximum. f(5) is a local maximum.…

A:

Q: Q2: Solve the following integrals: (1) f 7x²+14x+15 (x²+3)(x+7) dx ; (2) f sin x+cos x dx sin³ x…

A: We will use partial fraction to solve the first part of the question.

Q: Determine the intervals on which f'(x) is positive and negative, assuming that given figure is the…

A:

Q: 9. -1 2x xe dx

A: We have to find out solution of integral

Q: Evaluate the following integral. 45 S SS²² dz dx dy -411

A:

Q: Compute the curl of the following vector field. F = (4x²-3y²,5xy,5z)

A: We have to find out solution

Q: Q2: Solve the following integrals: (1) f 7x²+14x+15 (x²+3)(x+7) dx ; (2) S sin x+cos x sin³ x cos³ x…

A:

Q: There are 2 workers in one of companies, the company has determine the normal work hours by 8 hours…

A: If an individual worked 40 hours in a given period and earned $20 per hour, the calculation would…

Q: B. A heavy rock is thrown straight up with a velocity of 160 ft/ sec. The rock reaches a of S=160t -…

A:

Q: dy 5: Find for the following functions: dx (1) In (x - y) = xy + y³; (2) y = tan³ √/cot(7x); (4) y =…

A: Since we are given with multiple number of question and answered according to the guideline

Q: Suppose that f is integrable on [-4, 7]. If the average of f on the interval [-4, 7] is 4.25, fin 4…

A:

Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(0) and y = r sin(0), and note that (x,…

A:

Q: 2. Find the volume of the solid generated when the region between y = sin x and y = 0 for 0 ≤ x ≤ π…

A: The region between y=sin x and y=0 for 0≤x≤π is revolved about the y-axis.

Q: The region is bounded by the graphs of the equations y = sin x, y = 0, x = 0, and x = π. dA = ( A =…

A: Here is your solution

Q: Approximate the area of the region bounded by the graph of f(t) = cos (t/2/2) and the t-axis on…

A:

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A: Given that, the position vector is rt=3t,4cost,4sint. Obtain the velocity.…

Q: Consider the position function below. r(t) = (1-1²,3-5t4) for t≥ 0 a. Find the velocity and the…

A: Given;  r(t)=<1-t2,3-5t4).

Q: (A): If A = 4 2 -2 Find AB and AC. 2 1 -1 2 3 11 0; B= 2 -2 -2 and 1 l-1 2 1. 3 1-31 C=02 6 l-1 2 1

A: A=420210-2-11B=2312-2-2-121C=31-3026-121