A. Find S'(t) B. Find S(20) C. Find S'(20)

Q: Using Linear Approximation, estimate & for a change in x from x-ax=& f(x)=x, a=32, b=32.4 Comider…

A: The given function is

Q: Q2/Solve only three of the following differential equation: = xy 1- y' = 2

A:

Q: Joxe 4x dx = +C

A:

Q: 3y²-3x² Find an equation of the tangent plane to the surface z = 3y² - 3x² at the point (3, 1, -24).…

A: Given that,z = 3y2-3x2

Q: Evaluate the integral. } [(51²) i+ [(5t²) i+ (5)j +(3t+3)k] dt 0 [(51²)+(5) (5t²) i + (5)j +…

A: The Basic Integral formula is given as follows

Q: Need help understanding what to do please help ??

A: W = 5675812.3571 lb ftsExplanation:

Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 32+ y² = 5. maximum value =…

A:

Q: Page

A: The mean value of the probability density function 0  ≤ x ≤ 60 is simply the centroid's…

Q: (a) | (x+ h)² = x²| 0 V V (b) | (x+ h)² = x²| < 3h, where h<0 5 97 80 50 זיייייייייייין +

A: a. x∈(−2h,h) b. x∈(h,−2h), where h is negative.Explanation:Approach to solving the question:Detailed…

Q: Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of the question is to solve the given differential equation for the current I(t) in an…

Q: The temperature of a metal plate at the point is given in the following table below, where T(x, y)…

A: Final answer and explanation are clearly mentioned in the next section.Explanation:Please let me…

Q: Write a complete solution to the problem: A truck uses gas as g(v)=av + b/v, where v represents the…

A: The objective of the question is to find the speed at which the fuel consumption of the truck is…

Q: Evaluate the integral

A: 1.  3(arctanx)3​+C2.  earcsinx+CExplanation:

Q: Problem #1: By Taylor's theorem, we can find a Taylor polynomial P3(1) of degree 3 for the function…

A: Given: To Find: To calculate the coefficient .

Q: Use implicit differentiation to find y' for 5x4y² + In (xy²) = 5 and then compute y' at (1, 1).…

A: After implicit differentiation we have the derivative as follows:…

Q: If z = tan (金) and x = u² + v² and y = u² – v², find the - following partial derivatives using the…

A: Formula for the total partial derivative is given as follows

Q: proved dy 2(x+1) ax if y = x²+x-10 x-z

A:

Q: Evaluate the following integrals using partial fraction decomposition, when applicable. 16. dx…

A: 16). I=51​ln∣x+1x−4​∣+C 17).  I=2−3​ln∣2x+1∣+2ln∣x+2∣+CExplanation:Step 1: Step 2: Step 3: Step 4:

Q: x²+5 g(x): if = x+8 *x*-8 ; g(5) x-1 if x=-8

A:

Q: Find the exact value step by step of each expression.

A: The final answer is given by:(i) csc−12​=4π​ (ii)tanθ=5​2​=525​​ (iii)cos(2sin−1135​)=169119​…

Q: Question 1 For the function g whose graph is given, arrange the following numbers in increasing…

A:

Q: etch the region enclosed by the given curves. y=16-x², y=x²-2 CHOICE A -6 CHOICE D -6 -2 y -10- 15…

A: First we find the point of intersection of the given curves.Then draw the graphs of the curves and…

Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: sec2(4t) tan²(4t)…

A:

Q: Hello I am working on applications of inetgration, specifcally, surface area problems. I am…

A: Given integral-To find:Evaluate the integral

Q: Find the directional derivative, Dчf, of the function at the given point in the direction of vector…

A: Therefore, the required answer is Du​f(2,3)=0Explanation:Step 1: Step 2: Step 3: Step 4:

Q: dy Use implicit differentiation to find without first solving for y. dx -16x³ + 4x16y+y₁ = 77

A:

Q: No hand written responses.

A: the concepts covered in the economics word problem and Python code:Demand Curve in economics shows…

Q: Exercise: Solve the equation d³y dy dx3 +3d²y +3d+ y = 0 dx2 dx

A:

Q: Find all numbers c that satisfy the conclusion of Rolle's Theorem for the following function and…

A: The objective of the question is to find all the numbers 'c' that satisfy the conclusion of Rolle's…

Q: Consider the ellipsoid x² + 3y²+2z² = 31.

A: The given ellipsoid equation is

Q: Use the formula for the sum of the first n integers to evaluate the sum given below. 3+ 6+ 9 + 12 +…

A:

Q: The temperature of a metal plate at the point (x, y) is given as T(x, y), where T(x, y) is measured…

A: To solve for for  T_y(6,4) , we are seeking out the price of trade of temperature with apprehend to…

Q: Let A be an augmented matrix for a system of three linear equations in three unknowns. Suppose that…

A: • The system has infinitely many solutions.• The solution set…

Q: Given h(x) = x³ + px²+9x+15, find a value for p so h(x) has an inflection point at x = -4.

A:

Q: 1. Compare using the method of volume by disks and volume by shells by completing this problem using…

A: First of all i would like to introduce about the basic background of Mathematics so that you can…

Q: 2. [6 pts.] Evaluate lim f(x) and lim f(x) for the function: f(x) xx (Hint: the limits will be…

A: Limit at infinity = 1 Limit at - infinity = 5Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the integral. π/2 0 [5 cos 17t i-4 sin 7t j + sin² 5t k] dt л/2 [5 cos 17t i-4 sin 7t j +…

A:

Q: b) y = (3x-1)e-x²

A: The equation you've provided is a mathematical expression in terms of a variable x, given by:…

Q: The daily cost C (in dollars) for a manufacturer to produce a electronic video components is given…

A: An increase of $ 5600/191Explanation:

Q: Sin U X-4 Compute using *3-8x+7 Partial fraction decomposition. what is another method that can be…

A: The value of the integral is21​ln∣x2−8x+7∣+C,where C is the constant of integration.Explanation:

Q: f(x, y, z) = xe²yz, P(1, 0, 1), u = (a) Find the gradient of f. Vf(x, y, z) = < (b) Evaluate the…

A: Therefore, the required answers are a) "&gt;▽f(x,y,z)=&lt;e2yz,2xze2yz,2xye2yz&gt;b)…

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series S ∞ 1 1 =2(+2) Σ n=4 n+1…

A:

Q: Write the equation in spherical coordinates. (a) 5226x2 + 6y2 (b) x² + 5z² = 2 × ×

A: The given equations

Q: Find the equation of the tangent line at the indicated point. R(2)=log, (222-79), z=8

A: R(z)=log7⁡(2z2−79),z=8R′(z)=ddzlog7⁡(2z2−79)Using the Chain…

Q: 8 X does (1+x2)2 dx converge or diverge? if it converges, find the value it Converges to show all…

A:

Q: Q2\ (A) Find the tangent and normal to the curve x²-xy+ y² = 7 at the point (-1,2).

A:

Q: Find the length of the parametric curve defined by x = 3 sin(2t), y = 3 cos(2t) from t = 0 to t =…

A: The length of the given parametric curve from  t = 0  to t = 7pi  is42πExplanation:Given parametric…

Q: کا ✩ ផ Consider the following use of logarithmic differentiation to calculate the derivative. Let y…

A:

Q: dx/dt=lnx/lnt, solve this differential equation by using integration by parts.

A: ### ConclusionThe direct analytical solution involves advanced functions beyond elementary calculus…

Q: Suppose that f(x) = 16x6 In(x), x>0. (If an answer does not exist, enter DNE.) (a) Find all…

A: Note- As per company guidelines for a question posted we are allowed to solve first three sub parts…