Evaluate tan² (-a) se c5 (-a) da

Q: The domain of the function f defined by is equal to: Select one: O True O False 7 cos(x)+y² In…

A: This question is based on logarithmic function.

Q: Find dw/dt using the appropriate Chain Rule. Function w = x² + y² x = 4t, y = 5t dw dt || Value t =…

A: Given: w=x2+y2, x=4t, y=5t and t=2.   Apply the Chain Rule; dwdt=∂w∂x·dxdt+∂w∂y·dydt    ...1

Q: Determine the general solution of the differential equation

A: Follow the procedure given below.

Q: Choose the normal vector of the tangent plane to the surface defined by at the point (-4, 2, e88).…

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Q: The function s(t) describes the motion of a particle along a line, for any time t ≥ 0. s(t) = t²-5t…

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Q: Integral of cos^2 y cot y dy

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Q: What is the y-coordinate of the y-intercept of the secant line of the square root function at x=1…

A: Here we have to find the y-intercept of the secant line

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i3j-k, find vector normal to A and In plane of A and, B.…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: Use the cylindrical shells method to find the volume of the solid of revolution for the region…

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Q: To evaluate the integral I cos cos4 x sin3 xdx we save one sine factor and use sin² x = 1 cos²x to…

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Q: For a given cylindrical tank, the radius is 2m and the height is 18m. The tank is filled to a depth…

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Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 21 = 13 dy dx ||

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Q: Perform a first derivative test on the function ​f(x)=2x3 +3x2 −12x +4​;​[−2​,4​].   a.  b.Use the…

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Q: Find the solution of the given initial value problem 150y" + 25y"+y′ = 0, y(0) = −14, y′(0) = 10,…

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Q: Find and simplify the function values. f(x, y, z)=√x+y+z

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Q: 4. Graph this piecewise function: f(x): = x+1 -2x-3 x<-2 xM-2

A: We need to graph the given functionf(x)=x+1x&lt;-2-2x-3x≥-2

Q: Integrate √ 2²4 x²ln(x) dx.

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Q: Choose all critical points of the function f whose gradient vector is Vf(x, y)= O None of the others…

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Q: w = sqrt(25 - 4x2- 4y2),  x=r cos(theta),  y=r sin(theta) (a) Find del w / del r and del w / del ?…

A: If w=f(x,y) ; x=g(r,θ) and y=hr,θ then           ∂w∂r =∂w∂x.∂x∂r+∂w∂y.∂y∂rand…

Q: Which of the following is dž for t = 1 if dz dt 2t Z = In(x²y³), x = e¹ and y = e²¹ ? Select one: O…

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Q: Find the indicated limit by using the limits lim (x,y) → (a, b) [f(x, y) - g(x, y)] lim (x, y) → (a,…

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Q: yey dx = (y² + 2x e¹) dy

A: The given differential equation,     yeydx=y3+2xeydy

Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

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Q: Identify the surface represented by equation: 9x^2 + y^2 - z^2 + 2z -10=0

A: Given :9x2+y2-z2+2z-10=0

Q: Question 4 Find r'(t) given the following vector function. r(t) = 2/³i+34j+37²k O r'(t) =…

A: We have to find out derivative

Q: dy x+y=x²y² ln x dx

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Q: Determine the location and value of the absolute extreme values of f on the given​ interval, if they…

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Q: 4 (a² - y²)² 4. g(x) = (3x² + 4x - 5)5 3. 2 =

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Q: Evaluate fetanx sec² x dx

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Q: Function R gives the amount of rain measured by a rain gauge t hours since it started raining. The…

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Q: The graph of the function w = f(x, y) is shown below. (a) Assume that x and y are functions of a…

A: Given :w=fx,y

Q: Integrate the given function (Handwritten) tan2x + 2x^2x

A: Here we use basic formula of integration .

Q: Solve Problem 346 in section 4.7 of the textbook. In addition to providing the calculations, draw a…

A: Solution is given below:

Q: If f(x)=2-3x². O a. O b. O c. lim h→0 lim h→0 lim 30 From first principles select the correct step.…

A: Given :fx=2-3x2

Q: +5t, y=s - 5t, z = st² d aw/ot by using the appropriate Chain Rule. d aw/at by converting w to a…

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Q: Farmer Jones and his wife, Dr. Jones, decide to build a fence on their farm. Because Dr. Jones is a…

A: Follow the procedure given below.

Q: Integrate Ja giả Select one: OA. 2-x dz Ina-Inx+5| + C OB.Inx-lnx +51 +C OC. In x-lnx + 5+ C OD.…

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Q: List the first five terms of the sequence. a1 = 3, an+1 = 5an - 5 a1 a2 a3 = a4 = a5 =

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Q: Use Newton's Method to estimate a root of the function f(x) = x + 2 - e Use the initial estimate 1 -…

A: We need to find x7.

Q: Devise the exponential growth function that fits the given data, then answer the accompanying…

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Q: y (4x + y) dx -2(x²-y)dy = 0

A: Let's solve given diffrential equation.

Q: dy=(x-2ycot 2x dx

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Q: Use Newton's method to approximate a root of the equation 2 sin(x) = x as follows. 1 be the initial…

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

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Q: Evaluate the integral S dx 25+225x²

A: Given, ∫125+225x2dx

Q: Find the total differential. z = ex tan(y)

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Q: An annular cylinder has an inside radius of r and an outside radius of r2 (see figure). Its moment…

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Q: Compute the determinant of the matrix by cofactor expansion. 325 114 O-56 -8 O110 8

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Q: -6 -5 -4 -3 1 6 5 4 3 2 -2 -3 -4 -5 -6+ 2 3 4 5 I 6 a The graph above is a transformation of the…

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Q: Consider the following. (Round your answers to four decimal places.) f(x, y) = x cos(y) (a) Find…

A: Solution of given question is written in below steps.