Work Problem for the question. Let You must provide a clear and detailed solution z = (y-2x)³. where x = s²t and y = st². Use the Chain Rule to find t = -1. ds " when s = 2 and

Q: C What is f" (x) of f(x) = x Arc sin(x) + √1 − x²? Arc sin(x) 2 √1-2² √1-7² ◄ Previous + Arc sin(x)

A:

Q: What is f(x) of f(x) = log3 (1-2x)²? -32 In(3)-(1-2x)³

A:

Q: if u=f(x,y), x=g(w) and y=h(w), using chain rule, what is ∂u/∂w?

A: Silution : Given that u = f(x,y)

Q: e the figure to answer the questions. point A point B B point C point D point E y C D (a) At each…

A:

Q: Divide using synthetic division. (x 2 + 15x + 54) ÷ (x + 7)

A:

Q: Evaluate: St dz 2√√7+3 ○1-3 ln(7/5) O 2-3 ln(7/5) 2 2+3 ln 7 03-In()

A: Given :∫14dx2x+3

Q: √(√3+)dx Select one: OA. OB. OC. OD. ³/2-² + 4x¹/2 + G ³/2² + 4x¹/2 + G ³/2² + 4x¹/2 - ³/2x² + с +…

A:

Q: he method of variation of parameters to determin on of the given differential equation. y"" — y'′ =…

A:

Q: Which of the rectangles below are both left and right rectangles? 10- 8- 6- 4- 2- 0- 0 8 CD 0000 05…

A: Rectangle which is both left and right rectangle is the rectangle which touches the function from…

Q: In³ w 3 w√In²w-4 mp

A: Given :∫ln3wwln2w-4dw

Q: Evaluate: ffdxdydz 0 - 12/1 0 1 0/1/201 0 -1

A:

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

A: Here we have to find the directional derivative.

Q: Question 38 The critical point of f (x) = (sin x) (cosa) on the interval (0, π/2) is at x = Ono…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³y³, P(8, 3),…

A: Here we have to find the direction derivative.

Q: Given: y Find: y-intercept O P(0, 1) O P(0,1) O P(1,0) 1 (ex + 1)² no y-intercept

A:

Q: Find the arc length of the following curve on the given interval. x=7t+1, y = 24t-7, 0≤t≤3 The…

A:

Q: an upright cylinder with a base radius of 5cm and a height of 10cm has a possible error of 0.08cm…

A:

Q: Use the graph of m(x) shown to answer the questions below. -5 10 50 0 5 a. State the domain of m(x)…

A:

Q: √x +3 xy + 7 y). If f(x, y) = the domain of ƒ(x, Select one: True O False then the point (1, −7) is…

A:

Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

A:

Q: The differential equation dy 6x + 2 da 12y² + 14y + 5 Find such a solution and then give the related…

A:

Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: We need to find the sum of the first five terms of the geometric sequence:  4/3, 8/3, 16/3 . . .

Q: es Ous es les eButton Orations 365 Approximate the value of 22.5 O4+4 In(2) 06 O4+2 In(2) O4 +0.5…

A:

Q: Let f(x)=√6- x and g(x) = x² - x. Then the domain of f o g is equal to Question Help: Video Message…

A: Given- f(x)= 6-x f(g(x))= 6-x2-x f(g(x))= -x2+x+6 Domain of f(g(x))- -x2+x+6≥0 x2-x-6≤0

Q: Write the first five terms of the geometric sequence. a 1 =  -5; r = -3

A: We can find the first five terms as below.

Q: Evaluate: 0 tan-¹ (0) de arctan(0)—0 2 giarctan0+ + C arctan0+ arctan(0)–0 2 -arctan0+C 0–arctan(0)…

A:

Q: O ди If u = f(x,y), x = g(w) and y = h(w), using Chain Rule, what is aw O ди aw ди Əw || O all of…

A: u=fx,y, x=gw and y=hw

Q: Given f(x) (x + 21 -x² 4 x < -1 -1 < x < 2 x ≥ 2 a. Evaluate f(-3) b. Evaluate f(-1) c. Evaluate…

A: We need to find values of function.

Q: In reference to the following function:  f (θ) = (θ − 3) cos(θ) Write down an expression,…

A: use the polar curve to find the expression of the area.

Q: The temperature at the point (x, y) on a metal plate is T(x, y) = Find the direction of greatest…

A:

Q: 1. Find the gradient of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1, -1). 2. Find the…

A: Given :fx,y,z=lnxy-zx2

Q: Determine the derivative of the following function and simplify: tan³ (22) sin² (5x) - O 2 tan² (2x)…

A:

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: W need to estimate slope.

Q: a) Find an equation of the tangent plane to the surface at the given point. xyz = 15, (1, 3, 5) b)…

A:

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: For a geometric sequence with first term a1 and common ration r is given by an=a1rn-1, for…

Q: J= Integrate da x+ +5 Select one: O A. 5 In Ix+51 + C O B. 7 In Ix+51 + C OC. 9 In Ix+51 + C O D. 3…

A: Let's solve given integral.

Q: ات, 01 +19+₂1 x+₂²0 +19+₂. 1. Evaluate

A:

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y(4) +…

A: We have to find the suitable form of Y(t).

Q: if g(x, y) = yln(x) - x²ln(2y + 1) then 9x (2,0) = 0 Select one: O True O False

A:

Q: If z = x - 2y, dz and x = 2t, y = 5t, then the value of dt Select one: True False at t = 3 is equal…

A: Here, the given functions are: z=x-2y,x=2t, y=5t⇒z=(2t)-2(5t)⇒z=2t-10t⇒z=-8t

Q: find the rate of change of the circumference of a circle when the area is increasing at the rate of…

A:

Q: Evaluate fz² In z dz using integration by parts Oz² Inz-+c Oz-+c Onz-+c Oz²lnz-/+c 12 2₁

A: A detailed solution is given below

Q: Choose the correct answer for the following limit: Select one: Ο Α. 0 O B. Does not exist. OC. None…

A: According to question,Given Limit,Let l = limx, y→0, 0x3 + 6y25x3 + y2

Q: Evaluate: 0 tan-¹ (0) de Ô arctan(9)–0 2 arctang+ -arctan0+C 0—arctan(0) +C

A:

Q: Use the Integral Test to determine whether the following series converges after showing that the…

A: If f(x)  is a continuous, positive and decreasing function on the interval [k,∞)  and  f(n)=an…

Q: Work problem 3 Given the vector function () 5 F(t) = (6t³ · (61³ – —‚ t - sec(4 – t)), then find the…

A: We have to find the tangent vector at t=4.

Q: Find concave upward and concave downward of 6x^2-x^3

A:

Q: (2x²-10a+15) da Integrate: f gở ba tô 2x+3 ln()+ +C n(²²³)+c +C 3 In O2a +3 ln()+ ○ 3 ln() + C o +C

A: We have to integrate ∫2x2-10x+15x2-5x+6 dx.

Q: A y=1 x=y² B y=x² C (1, 1) X=1 X (0,0) Region A is bounded by the parabola x = y², the line y = 1,…

A:

Q: b) Evaluate lim X-8 In(5x) In(2x-4)

A: