x-1 8. y = log х+1

Q: .9

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx, Po(3, - 3,…

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Q: Practice Problems. Find all of the first order partial derivatives for the following functions. (a)…

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Q: termine the follow a. S=dx x6

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Q: Find all the second order partial derivatives of the given function. -y? f(x,y) = xye O A. 2f = 2xye…

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Q: a) y = x? e-X

A: We have to discuss properties of the graph

Q: dx J Vx² – 25

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Q: V9 – x² x2

A: Given: I=∫9-x2x2dx   ...1   As we know that; The trigonometric identities; 1). sin2x+cos2x=1 2).…

Q: Solve the initial value problem for r as a vector function of t. dr Differential equation: = -…

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Q: Activity 3: 1. ſx²dx 2. SVx?dx 3. S(x³+x²)dx 4. SVx*dx 5. fx-2dx 6. S tan?x dx 7. S(1 – cos u)du 8.…

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Q: On what interval(s) is f'(x) increasing? Decreasing? Explain.

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Q: Find the first five non-zero terms of Maclaurin series (Taylor series centered at a = 0) for the…

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Q: Find the sum and express the answer in its lowest term. 3 =N 4 10 1) 9 3 2) + 13 6. 4 3) + + 7. 9.…

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Q: 1. Find the area bounded by the parabolas y? = 4 and y²+12x = 36 2. Find the Area bounded by the…

A: Given :     Curves and find area by integration

Q: dy for xy +e* = sin(x+1). By using implicit differentiation, find dxx.y)-(1.0)

A: Given equation: xy+ex2y=sin⁡(x+1) To find: dydx(x,y)=(1,0)

Q: ∫x+2x√3−6x32x  dx∫x+2x3−6x32x  dx = ∫3sinh(lnx2)  dx∫3sinh⁡(ln⁡x2)  dx =  ∫69+x2  dx∫69+x2  dx =

A: As per bartleby guidelines we only give first three question answers.

Q: Given the function f(x) = (x + 1)(x- 2). Find the interval where f(x) is increasing and decreasing.

A: The solution of question no 4 is given in the next step.

Q: Mohamad Salah poured orange juices into a cylindrical red tank whose height = of its radius. If the…

A: We have to find rate of change of Radius.

Q: dt 4. Solve the initial-value problem dx = -2x – 2y dt dy = -2x + y, dt where the initial condition…

A: To find the solution of the given system of differential equations.

Q: Find (x, y, z). (Let P = (7, 7, 0) and the Midpoint = (0, 5, 5).) (х, у, 2) %3 Midpoint (х, у, 2) P

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Q: Given: points A (3, 1, 6), B (5, -1, -2), and C (1, -3, 2) 1. Show that A, B, and C form the…

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Q: A tree trunk has a circular cross section at every height; its circumference is given in the…

A: Let's find.

Q: e2x Vex + 1dx

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Q: Find the differential dy: y = In(sec² ( 3"-2*+5)). Find the differential dy: y = In(sec? ( 3-2x+5…

A: We have to differentiate given function

Q: 3. y = e-x and the x axis is revolved about the y – axis. (Answer: t C. u. )

A: Let's find.

Q: Show clear and detailed solutions: Suppose that z is a function of x and y, and tan Vy? + x² = z*e®y…

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Q: Find an equation of the sphere whose endpoints of a diameter are (-2,0, 5) and (-1,2, 3).

A: To find the length of the diameter use the distance equation Therefore, D=-2-(-1)2+0-22+5-32…

Q: Given the function f (x) = %3D x - 4 Find the interval where f (x) is increasing or decreasi

A: Given: f(x)=xx-4

Q: Assume that the radius r of a sphere is expanding at a rate of 10 cm/min. The volume of a sphere is…

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Q: Q1: To integratef 6x + 8 dx we substitute a)x = sec 0 + 3 b) x = tan 0 + 3 c)x sec 0-3 d) x 3sec 0…

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Q: Find a parametrization of the line in which the planes x+ y +z = - 3 and y +z = 4 intersect. Find…

A: Solution: x+y+z = -3 ..............(1) y+z =4 .............(2)

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A: Given: We have the local maximum at the point (7, -6). So, we must have f'(7)=0. Here, f'(x) =…

Q: Solve 4 sin(2x) – 5 cos(x) = 0 for all solutions 0 < r < 2n 2.68

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Q: 1. Find the absolute extrema, if any, of the following functions on the given interval. (a) f(x) = 4…

A: Given:     a) fx=4-3x ; (-1,2]           dydx=ddx4-3x                   f'x=-3   There in no…

Q: Consider the following integral. |Fe dt Find a substitution to rewrite the integrand as - Le" du. u…

A: To find the value of given integral.

Q: Find * L-1{ 52-4s+13

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Q: Find the curve's unit tangent vector. T(t) = Di+Dj+Ok

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Q: Find T, N, and k for the space curve r(t) = (16 sin t) i + (16 cos t) j+ 12t k. T(1) = (D i+ (O j+…

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Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. 7x dx…

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Q: he path r(t) = (4 sin t) i+ (4 cos t) j describes motion on the circle x +y = 16. Find the…

A: Topic:- application of derivatives

Q: Jon's bathtub is rectangular and its base is 16 ft. How fast is the water level rising if Jon is…

A: Given, Base, A=16 ft2, dvdt=0.7 ft3/min, We have to find dhdt,

Q: Q3: A. By power series, prove that: d Cosx = -sinx dx B. Find the value of x for which Inx + (Inx)²…

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Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = on the interval…

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Q: e the substitution x = 3 sin t to evaluate the integral ſ V9 – x² dx. ote: Use C for an arbitrary…

A: Topic:- integration

Q: Given f(x) = 2x + 4, what is the value of '(1)? Select the correct response: 1 O 2 O 4

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Q: Find and sketch the domain for the function. sin (xy) f(x,y) = y - 36 Find the domain of the…

A: This question is related to Functions, we will solve it using given information.

Q: 1. Evaluate the following integrals. 24 - 44 dy 2+ 49 C.

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Q: = )* - a) Va' + 1) zVx +1 +C b) Va' + 1) - 2V +1 + C Q3: S dx%3D c) V + 1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (n +…

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Q: Find 8. L-1 s²+4s+20 CamScanner

A: