11-X2 0 dx x = Sin O the trig aluate using the bstitution x=Sino

Q: Given cot(y) = x, what is dy/dx?

A: dxdy​=−1+x21​Explanation:

Q: Express the given rational function as a sum or difference of simpler rational functions

A: The required answer is given below Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Consider the logarithmic function: g(x) = 3 log2 (1-x) - 6 d) Sketch the function using the method…

A: Check explanation Explanation:Problem:Consider the logarithmic function:g(x) = 3log₂(1 - x) - 6d)…

Q: Find the equation of the tangent line to the function f(x) = In(6x) at x = 6. (Use symbolic notation…

A: f(x)=ln⁡(6x) at x=6f′(x)=ddxln⁡(6x)Using the chain…

Q: x = −1 + cos(t), y = −2+ sin(t), 0 ≤t<2π . Sketch a graph of 5 4 3 -5-4-3-2-1 2 1 -1 -2 -3 -4 -5+ 55…

A: Orientation of the graph is Counterclockwise.Explanation:

Q: 3) An adult human at rest inhales and exhales approximately 520 ml of air (called the tidal volume)…

A: Question No. (d):Given: An adult human at rest inhales and exhales approximately 520 ml of air…

Q: Find the exact length of the curve. y = ² ²x³/2, 3 0≤x≤6

A:

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

A: An increase of $39.44 Thank you  Let me know if you have any doubts Explanation:Step 1:

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x² + y² subject to the…

A: We know, that

Q: base of a solid is bound by y=9x, y=36 and x=0 find the volume of the cross-section rectangle…

A: V=4032 cu. unitsExplanation:Given the equation of the base,y=9xy=36x=0  Solving for the volume of…

Q: End Find the derivative from FIRST PRINCIPLES of A 3) 3 f(x) = 2x+1 nobonut gniwo

A:

Q: Let us model the number of automobile sales in a developing country as N(t) 158,000…

A: a) 22899 cars at 2010b) 122566 cars at 2020c) cars sales stabilize at 158000 cars.Explanation:

Q: 7) Use sun and difference formula to verify the identity cos(A+B) cos(A-B) = cos2A + cos2B-1 A-B) =…

A:

Q: Vector-valued functions (VVF) r(t) = VVF Point P t value (for point A) 1 t²i + √√4 − t j + √√t+1k…

A: Answers: 1. The domain of a vector-valued function consists of real numbers. The domain can be all…

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: ax.)-( Find the centroid of the region shown, not by integration, but by locating the centroids of…

A: In the given region we have one rectangle and one triangle.Region 1 is rectangle and region 2 is…

Q: The function f(x)= : 41 is concave down on which interval? +1

A: given function

Q: Consider the function x²+2x-1 if x ≤ -1 f(x) = 3/8x if 1< x < 1 2x+4 if x 1 3 -1, we compute (a) To…

A: The given function is

Q: მ2 Use the chain rule to find 3 and 4, where 8s5t, y=5s + 6t = x² + xy + y², x = 8s + 5t, y First…

A:

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

A:

Q: Find the length of the indicated portion of the curve. r(t) (3e cost) + (3e sint)j+3e'k. - In4sts0…

A: Given:To find:The arc length is calculated as-

Q: ym 2x²+2x+3 4x-4x

A: The given function is:Find it's horizontal asymptote.

Q: 11. Use the shift property to find the Laplace transform of eat sin kt. uitobing property to find…

A:

Q: D At least one of the answers above is NOT correct. 0 Calculate the Taylor polynomials T2(x) and…

A: The objective of the question is to calculate the Taylor polynomials T2(x) and T3(x) centered at x =…

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…

Q: 10) (a) Find the exact value of tan20 if tane = (b) Find the exact values of sinif cosa = -- 8 17 3…

A:

Q: Assuming that the domain of the function is the largest possible subset of R (the set of real…

A:

Q: math help

A: see explanationExplanation:Step 1: Step 2: Step 3: Step 4:

Q: 3 In Exercises 5 and 6, let f(x) = x³ + 2x + 1, and assume that f-1 exists and has domain (-∞, ∞0).…

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

Q: Let a <b. Let f be a continuous function on [a, ∞o). Prove that the following two statements are…

A: The document proves that the following statements are equivalent:The improper integral ∫ from a to…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Global maximum at (2.5, 5) of 31 Global minimum at (0, 0) of 21Explanation: Given that, maximum : In…

Q: the the point (-1,2,256) of the normal line to the Surface 2 = 2xy + a -t + 256.

A: X=-1024t -1 Y= 896t+2Z= -t+256Explanation:Step 1:-- Step 2: Step 3: Step 4:

Q: Convert the Cartesian coordinate (-2,3) to polar coordinates, 0 ≤ 0 < 2π r = 0 =

A: r=(​13)θ=π−tan−123​Explanation:For any query with the solution, please ask in the comment box.

Q: Estimate ƒx and ƒy at point B. 70 50 30 4 2- -30 C 10 B 0- -10- 0. -30 -2 -10 10 A. -50 -70 -20 -4 0…

A: fx​(B)=−6.9fy​(B)=13.9Explanation:Step 1: From the graph at point B, For x=−2.75, f(x,y)=20 The…

Q: 135. Evaluate sin x sin x + cos x sin x dx in two ways: dx, then using the Evaluation a. By…

A:

Q: Iff (0) = g(0) = 0 and f" and g" are continuous, show that [“ƒ (x)g"(x) dx = f(a)g'(a) – f'(a)g(a) +…

A:

Q: - The Parametric equation of the line that passes through the point A(1, 1, 1) and parallel to the…

A:

Q: Vector-valued functions (VVF) VVF Point P t value (for point 1 r(t) = ½ t²i + √4 − t j + √t + 1k (0,…

A: equation of tangent is as follows-2x​=−22​1​y−2​=23​1​z−1​Explanation:Step 1:Step 2:Step 3: Step 4:

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

A: The required answer is 24Explanation:Step 1: Step 2: Step 3: Step 4:

Q: A graphing calculator is recommended. in the viewing rectangles [0, 10] by [0, 1] and [0, 100] by…

A:

Q: The curve y=f(x) is shown below. In which region(s) of x is f(x) increasing? A. −1<x<1, x≠0…

A: given a function f(x)

Q: Suppose z x2 sin y, x = 3s² + 312, y = 2st. =

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: Consider f(x) = x² - 9 x 3 x f(x) x f(x) 2.9 5.9 3.1 6.1 2.99 3.01 2.999 3.001 2.9999 3.0001 Looking…

A: F(x)=9full answer is given belowExplanation:Step 1: Step 2: Step 3: Step 4:

Q: B. Find the distance between the point A(-2,2,1) and the plane 3x 5y+z = 5. - C. Find the equation…

A:

Q: Q7 Continuity 1 Point Let f(x) = x - 1 if x 1 x22x3 - 2x if x 1 Find the value of c for which f is…

A: for c=49​  f(x) is continuous Explanation:Step 1:Step 2: Step 3: Step 4:

Q: N Find the general solution of this equation: 9y"+6y'+ y =

A: The objective of this question is to find the general solution of the given second order homogeneous…

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: Exercise: Solve the equation d³y dx3 +3d²y dx² dx +30 + y = 0

A:

Q: dy Find by implicit differentiation da 5+3x=sin(xy)

A: 5+3x=sin⁡(xy6)ddx(5+3x)=ddxsin⁡(xy6)