V3 If sin x = - and -90° S x S 0°, evaluate sin 2x 2 1 2 V3 2 1 2 V3 2

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: VAT4 : then what is dy2 x+4 dx dy а. 4x(x +4) dx dy 4Vx +8 dy = 8 Vx + 4 b. dx C. dx dy d. dx 4(x + ...

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Q: e a calculator to evaluate. Round values to three decim: nsider the correct angle mode. sin-1 tan- (...

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Q: If y = sin (4x - 5), then what is y' a. y = 4 cos (4x - 5) b. y 3 сos (4x - 5) C. y' = -cos (4x) d. ...

A: In this question  we have to solve the given statements. NOTE: As per our policy we are suppose to d...

Q: do a number talk, please write out 8-10 strategies that a student would do mentally (no paper or pen...

A: The problem solved by  1. Place value with regrouping  2. Constant and difference. 3. Removal in par...

Q: dy when (cos x) = (sin y)* dx A Find %3D

A: Note: - Since you have asked multiple question, we will solve the first question for you. If you wan...

Q: u³ = a²t , find d’u %3D dt3 2a4 а. 9u5 10a6 27u8 -10a6 С. Zu® 40a6 d. U8 b.

A: A detailed solution is given below

Q: What is the first derivative with respect to x of f(x) = (x² – 4) (3x – 2)? a. (2x)(3) b. 6х (x + 2)...

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Q: 2n a. Find the local extrema of the function f(x) = cos 3x + 3 sin 3x on the interval 0sxs and say w...

A: 0≤x≤2π30≤3x≤2πf(x) = cos 3x +3 sin 3xf'(x) = -3 sin 3x + 33 cos 3x f'(x) = 0-3 sin 3x + 33 cos 3x=0t...

Q: Find the limits of the functions below a) limr-3 x* sin x b) lim,

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Q: The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in cm2/min...

A: Given :radius of spherical ball is increasing at a rate of 2cm/minso, drdt=2cm/min

Q: Determine the convergence or divergence of the series. (If you need to use co or -co, enter INFINITY...

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Q: f (x) = 2x? – x +6

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Q: Determine the amplitude, period and displacement for the given function, and sketch the graph of the...

A: Function y=32sin2x+π6 is given.We have to determine amplitude, period and displacement for the given...

Q: Compute the flux of the vector field F = 3xzi + 5yk through the surface S, which is the hemisphere x...

A: The flux is given byflux =∫S  F→·n^  dShere,n^=x, y, zx2+y2+z2 in spherical coordinatesF→·n^ =x, y, ...

Q: Find the function f(x) such that  f ′(x) = f(x)(1 − f(x)) and f(0) = 1/5.

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Q: cos4x - sin4x = cos 2 x 2 cos 2 x -cos 2 x

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Q: To integrate y3xdx we apply integration by parts and in the form u dv, u is set as:

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Q: An aquarium 7 m long, 3 m wide, and 4 m deep is full of water. Find the following: the hydrostatic p...

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Q: b. Si x-2ª 3 1

A: ∫13dxx-2    =  [ lnx-2 ]13   =  ln|3 - 2| - ln|1 - 2| =  ln |1| - ln |-1|   =  0 - 0  = 0 

Q: Solve using alternating series

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Q: Graph of f 5. The graph of y = f(x) on the interval 0 < x < 5 is shown above. Which of the following...

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Q: Find the interval of convergence for the given series. 2(n + 3)!(x + 13)* Select the correct respons...

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Q: What integration technique can be used to integrate: tan x dx O Integration Formulas O Trigonometric...

A: Given ÷ Integrate tanx dx I=∫tanxdx  

Q: Rotate the axes so that the new equation contains no xy-term. Analyze the graph the new equation

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Q: Example 19: (a) If x +y = 25, find dy/dx. (b) Find an equation of the tangent to the circle x +y = 2...

A: As asked we can find the necessary answers as below 

Q: 1 -1 -2 -2 -1 0 1 2 3 2 3 4 4 -2 -1 4. FIGURE 6.1.12. Spiral point (-2, 1) and saddle point (2,-1). ...

A:   Given the systemdxdt=2x-2y-4 anddydt=x+4y+3 To find critical point we take dxdt=0 anddydt=0  

Q: Find dydx? for f(x, y) = eXy

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Q: If xy + 4e = 4e, find the value of y" at the point where x = 0. y" =

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Q: Find all functions f : R → R for which f(x + y) − 2f(x − y) + f(x) − 2f(y) = y − 2

A: We are given that f:ℝ→ℝ, which follows: fx+y-2fx-y+fx-2fy=y-2 for all x,y∈ℝ.  

Q: Find all the first order partial derivatives for the following function. fx, y, 2) - ze (ху) O af ze...

A: ∂ex∂x = ex.

Q: 1 The range of the graph y = sinx - 2 is _____. 2 ≤ y ≤ -2 -3 ≤ y ≤ -1 0 ≤ y ≤ 2 -1 ≤ y ≤ 1

A: We know that, -1 ≤ sinx ≤ 1 for all real x  

Q: Given the vector u = - 6i – 3j, find the magnitude and angle in which the vector points (measured co...

A: Here we will find the magnitude and direction of given vector,

Q: Find the derivative of each function by using an appropriate differentiation rule. 1) F(x)= sin(3 l...

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Q: Find the indefinite integral: 30 [cos 3x + sin 2x + e5x]dx 10sin 3x -20 cos 2x +6 e5x + C O 90sin 3x...

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Q: sy (2 where yco,t) = y (5,t) = 0 = 2Jx2 and y (x, o) = 10 sin 4T X - 32 t |Anst y cx,+) = 1o e" sin ...

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Q: Determine the value(s) of x where the slope of the tangent to f(x) = (x – 7)(x² – 5) is –13.

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Q: Which of the following is the approximate value of e' if polynomial expansion P(x) centered at a = 0...

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Q: 12x3 4. Use the properties of logarithms to expand loga Express powers as factors. x2-2x

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Q: The region bounded by f(x) = - 4x2 + 20x + 96, x = 0, and y = 0 is rotated about the y-axis. Find %3...

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Q: Solve the system of linear equations using direct method for an exact solution Cramcis x + 2x2 + 6x;...

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Q: 1. Decide the limit: lim 2x + 3 x-3 2. Explanation

A: Solving the problem by finding the limit of the function.   NOTE :: As per our Expert guidelines we ...

Q: Evaluate the following limits 5 a) limx-0- 5 5 b) limx-o+ 5 c) limx-0 x3

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Q: 6e 4x -e-2x 9. lim x→-o 8e4x –e2x+3e-x

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Q: 2. Use the properties of logarithms to find the exact value of the expression. Do not use a calculat...

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Q: Use sigma notation to write the Taylor series about x = xo for the function. e*; xo = 4 %3D k! k=0 e...

A: By using sigma notation to write the Taylor series about x=x0 for the function.ex; x0=4  

Q: Sg(x) dx 2. g(x) 3. 3f(x) dx 5. If(x)-g(x)] dx 6. [4f(x)– g(x)] dx

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Q: Use the divergence theorem to find the outward flux of the vector field F(x,y,z) = 5x^2i + 4y^2j + 3...

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Q: Suppose that R is the finite region bounded by f(x) : 4 and g(x) = x. %3D Find the exact value of th...

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Q: 2п +1 Е. У Зп +2 n=0

A: ∑n=0∞2n+13n+2    Thus,  an=2n+13n+2    Thus, we can proceed further with ratio test