S √√sinx sin x cos xdx

Q: Find f" (x), given f(x) = sec x. O f" (x) = sec³ x tan x Of" (x) = sec a tanz Of" (x) = sec³ x + sec…

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Q: 8. Find the first two non-zero terms of the Taylor expansion for function f(x)=sin x and a given…

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Q: Find the smallest number of terms of the series Σ1 partial sum sn is within of the sum. 1 100…

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Q: Evaluate et +2e2t-et e2t +1 dt.

A: Given that a integration problem and we solve this problem by using general property of integration.…

Q: y'' + 8y' + 32y = 0, y(0) = 4, y'(0) = -24 y(t) = The behavior of the solutions are: O Oscillating…

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Q: 2x² sin x + 3y³ 3x³ + 2y² lim (x,y)→(0,0) if we approach along y-axis, we will get Select one: True…

A: This question is based on two variable limits.

Q: Suppose that the concentration (measured in gm3) of nitrogen in the soil along a transect of land…

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Q: 9 Evaluate f 99√x 30-x2 -x² 2 dx.

A: ∫4999x30-x322dx

Q: Question a) b) C g(x, y) = (0,0). x³-4xy Let f(x, y) = x²-2y Find the first partial derivatives of…

A: Let fx, y=x5-4xy2x2-2ya To find the first partial derivatives of f.b To determine whether the limit…

Q: Let f(x,y)=- lim f(x,y)? (3) (4.4) lim (x,y)→(4,4) This option Which of the following is true about…

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Q: Which of the following theorems does not require the differentiability of the given function? a.…

A: We can check in which theorem , the condition of differentiability of the given function does not…

Q: True or False: To evaluate the integral [si we save one sine factor and use sin²x = 1 - cos²x to…

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Q: Evaluate fx and fy at the given point. (If an answer is undefined, enter NONE.) f(x, y) = cos−1(xy),…

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Q: 3. (ey + 1) cosx dx + eysinx dy = 0 [Answer: (ey + 1) sinx = c]

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: For the limit, lim (x,y)→(0,0) sin(x² - y²) x² - y² if we approach along y-axis, we will get 1.…

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Q: 8x³ - y³ 3 lim (z,y) (1,2) 2x - y Select one: O equals 12. O equals 0. O None of them O equals 4. O…

A: Lim(x, y) -(1,2)(8x3-y3)/(2x-y).

Q: A rental company charges $65 a day and 20 cents a mile for renting a truck. Michael rents a truck…

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Q: Evaluate the definite integral by the limit definition. L (x² + 4) dx X 31

A: use the limit formula for integration

Q: x - 4y = 26²

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Q: If f(x, y) = 2√/16 - x² - y², then the domain of f is the set D = {(x,y)|x² + y² ≤ 16}. Select one:…

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Q: Given: S dx x+2x3

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Q: Evaluate f dac x²-x+2

A: We can evaluate the integral as below.

Q: For the limit, lim (x,y)-(0,0) if we approach along x-axis, we will get 0. Select one: True sin(x² -…

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Q: If the equation z=squarerootx^2+y^2 equals the spherical equation phi=c, what is the angle of…

A: The given problem is solved below in detail.

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: Work Problem for the question. Let where x = t = -1. You must provide a clear and detailed solution…

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x-3y 4 + 1 2 P(x,…

A: Solution ) to find the point p (x - 3)/4 = (y + 1)/2 = z + 4  = 0 (x - 3) /4 = 0   ,   (y + 1) /2  =…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: P₁: -60x + 90y + 120z = 29 P₂: 4x - 6y - 8z = 5 P3: -20x + 30y + 40z = 4 P4: 12x18y + 24z = 9

A: Follow the procedure given below.

Q: The domain of the function f(x, y) 3xy 2+√4x2+y2-16 is:

A: Given :fx,y=3xy2+4x2+y2-16

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: To find sets of parametric equations and symmetric equation of the line that  passes through the…

Q: a b) exist. x² yesy 8x4+7y² Find the domain of the function f. f(x, y) = Show that lim f(x, y) does…

A: The given function,  fx,y=x2ye5y8x4+7y2

Q: Một chuyển động có phương trình: R(t) = (cos(4t))i + (sin(4t))j + 4tk. Tìm vector tiếp tuyến đơn vị…

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Q: If f(x, y) = -x cos y, then fyx (1,0) = ? Select one: O -1 0 0 O-sin y 1 None of them

A: Given :fx, y=-x cosy

Q: Use the given conditions to find the values of all six trigonometric functions. (If an answer is…

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Q: Find the radius of convergence, R, of the series. 00 Σ ( + 9)" 97 In(n) n = 2 R = Find the interval,…

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Q: et dx √ (e² = d − 1)(e* + 2)

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Q: A right circular cylindrical container with volume 167 cm³ is to be made. Use the method of Lagrange…

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Q: A deposit of $1000 is made into an account that earns interest at an annual rate of 5%. If allowed…

A: what would be the resulting total account balance if the interestcompounded monthly?

Q: 1 . Find the arc length for y = √√2-x² for 0 ≤ x ≤ √√2. Check your answer by noting that the curve…

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Q: 4 lim z+0x5

A: topic- limits Since denominator is negative, and near to zero .Therefore limit tends to negative…

Q: Evaluate L 8y (x³ + 1)² 2y by reversing the order of integration. dady

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Q: The range of the function f(x, y) = This option 10, 1/3] [1/3, +00[ O This option None of these 1…

A: Domain:- The set of all those points (x,y)  such that the function at those points exists.Range:-…

Q: Match the functions in Column A with their corresponding antiderivatives in Column B. Column A a.…

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Q: 3. (x² + y²)dx - 2xydy = 0 [Answer: x²-y² = cx]

A: Here we use the method of substitution y=vx then dydx=v+xdvdxsee below the calculation and…

Q: Find the area of the region bounded by the graphs of the equations. y = 5 + √√x, x=0, x=8, y = 0 59…

A: Given below figure is the required region whose area to be find.Area of teh region is calculate by…

Q: Use the First Fundamental Theorem of Calculus to find F"(x) if = [*_ sinh√/1 +ť² dt. F(x) =

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Q: Vector A has a magnitude of 8.0 m, South and vector D has a magnitude of 10.0 m, 530 W of N. Find…

A: To find out the vector product.

Q: Find the general solution of the differential equation. y"" — 17y" +82y' — 120y = 0. NOTE: Use C₁,…

A: Here we have to solve the differential equation.

Q: π/2 0 /1-cos2xdx

A: solution:-∫0π21-cos2xdxwe know that cos2x-sin2x=cos2x1-sin2x-sin2x=cos2x1-cos2x=2sin2x