a. 12.37 cm2/sec O b. 12.57 cm2/sec O c. 12.47 cm2/sec O d. 12.67 cm2/sec

Q: 1 The range of the graph y = sinx - 2 is _____. 2 ≤ y ≤ -2 -3 ≤ y ≤ -1 0 ≤ y ≤ 2 -1 ≤ y ≤ 1

A: We know that, -1 ≤ sinx ≤ 1 for all real x  

Q: f(x) = and g(x) = 2x 1 and h(x) = 1 4x-1 %3D

A:

Q: Example 19: (a) If x +y = 25, find dy/dx. (b) Find an equation of the tangent to the circle x +y = 2...

A: As asked we can find the necessary answers as below 

Q: х+ 3 f(x) %3D x2 - 9

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A:

Q: Compute the flux of the vector field F = 3xzi + 5yk through the surface S, which is the hemisphere x...

A: The flux is given byflux =∫S  F→·n^  dShere,n^=x, y, zx2+y2+z2 in spherical coordinatesF→·n^ =x, y, ...

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

A: Here, the region is bounded by y=6sin(πx), the x-axis, y-axis, and line x=1. The areas of the region...

Q: In this question we use partial fractions to evaluate sec 0 de . First, write this integral as cos 0...

A:

Q: evaluate the differential equation: -5y +4y =z-2+

A:

Q: Let R be the region bounded by the inner loop of the limacon, r = 4/3+8 sin 0 as shown in the diagra...

A:

Q: Solve the following equation by the quadratic formula. x2 + 3x - 1= 0 3+V13 X= 2 -3+V5 X= 2 3+v5 2 -...

A: For a quadratic equation:                                     ax2+bx+c=0 The solution is of this qua...

Q: a . Use separation of variables to find the general implicit solution to the differential equation. ...

A: Answer: As per guidelines we can do only 1 question at a time so post other question separately , th...

Q: (use Loug division) 2x'-3x+リメ+5 X+ 2 2×-3x+メ+5

A:

Q: xSy + 11|(x – y). State the least positive integer in the equivalence class of [14]. b) For a set X ...

A:

Q: What is the derivative of y = 34? a. y (4)(3**) b. y = 4x3 c. y = (4)(3*) In(3) d. y' = In(4x) + 34*...

A: We can answer all three subparts as below.

Q: (a) -2f(x) dx 1 6. (b) f(x) +h(x)] dx (c) [2f(x)- 3h(x)] dx 7 (d) f(x) dx 69 (e) f(x) dx (f) f[h(x)-...

A:

Q: 2 b.f V1 + x³ dx

A: The given integral is√(1+x3) limit from 1 to 2.

Q: Using double integration, find the volume of the solid bounded below by the plane z = 0and above by ...

A: Given that a solid is bounded by the xy plane i.e. z = 0 and above by the Paraboloid z = 25 - x² - y...

Q: tanwdw The is equal to 1- tan?w

A:

Q: (b) What is the equivalent annual interest rate? (Round your answer to two decimal places.)

A:

Q: Differentiate the function. t(t? + 1)4 V2t – 1 g(t) = In 5

A: Given  g(t) = lntt2+142t-15g'(t) = dlntt2+142t-15dtg'(t) = 1tt2+142t-15×dtt2+142t-15dt              ...

Q: Determine if the following series converge or diverge. Make sure you state which test you use to mak...

A:

Q: J. E n=1 Vn 2.

A: p-test series for a series to be convergence ∑n=1∞1np will diverge if p≤1              will converge...

Q: Find the real valued general solution of y" + 5y = 0. %3D

A:

Q: 52 Solve G(x) for the given domain. G(x) = x 2 + 2 G(2x - 1) = _____. 4 x 2 + 3 4 x 2 - 3 4 x 2 ...

A:

Q: 1. Find the general solution of (y? – 1) = 4xy? dy %3D dx

A: Topic:- differential equations

Q: (c) 8 26 80 3' 9' 27’ 81 an = (d) 4 0, An =

A:

Q: Match each graph type with its corresponding function. 1. y= Exponential Function 2. y= log 4x Logar...

A:

Q: 2. Differentiate the follow a) y = e 2x -ex %3D ex

A:

Q: Evaluate the following indefinite integral using a table of integrals. Use C for any constant of int...

A:

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand serv...

A: Find your answer below 

Q: Write the equation for the linear function. A = {(x, y): (-4, 2)(-1. .) Oyr y= - 2 Oy= - + 1 y= 2 Oy...

A:

Q: The function f(x) = ln(cos x) has a root at x = 2π, with x measured in radians. Use the Newton-Raphs...

A:

Q: 6. Find the exact solution of each equation, no decimals. Do not use a calculator and find the domai...

A: Given problem:-

Q: evaluate the differential equation y- 2y +1 =0 if y(0)= 3

A:

Q: 3. Find a fundamental matrix for the following system. Then find a solution satisfying the giving in...

A: Explanation of the answer is as follows

Q: A 1-kilogram mass is attached to a spring whose constant is 24 N/m, and the entire system is then su...

A: NOTE: Refresh your page if you can't see any equations. . mass is m=1 kg the spring constant is k=24...

Q: Which of the following functions is differentiable for all values of x? a. fAx) = 2r' + 5x² b. f(x)=...

A: Given problem:-

Q: Given the below differential equation, solve for the value of y(t) att = 3.8 s. 2.5y" + 11.2y' + 5.4...

A:

Q: sin e cos e Choose the best answer: sin (0 - 1)

A: Trigonometry 

Q: The cylindrical equation z = r2 represents which of the following? O a paraboloid O a semisphere O a...

A: The cylindrical equation z=r2

Q: 4x-3, 15. What is the derivative of f(x) ? Зх+2 17 a. (3x+2)2 4x2-3x b. 3x2+2x С. 16 d. (3x+2) 16. W...

A:

Q: Find the differential dx for the function: y=V4+5x at x 0 and dx 0.04. 0 5 O 0.08 O 0.05 O 0.8

A:

Q: (a) If point A(2, 4, 3) is the opposite vertex to the origin, then find the coordinates of the other...

A:

Q: The function has a relative maximum of 16 at x=| 46 (Use a comma to separate answers as needed.) 42 ...

A: Here we see that critical points of f(x) is -2,0,2  

Q: 1. Find the work done by the force F(x, y, z) = (xz, z² – x, y ), along C, the curve defined by x = ...

A:

Q: Find the solution to the initial-value problem. y' = −8x tan(y), y(0) =  ? 2 y =

A: Given query is to find the solution of differential equation.

Q: An observer notices an airplane flying horizontally with a constant speed of 200 kph at an altitude ...

A: Given query is to find the rate of change of distance.

Q: Find the absolute extrema

A: We use second derivative test for this problem

Q: The graph of the equation x = D where D is any real number is a Plane parallel to the xz plane Plane...

A: here x=D where D is real number is the constant line equation so this line is parallel to yz plane b...