Prove sinxtanx + sinx tanx 1 cosx is an identity.

Q: Determine the indefinite integral 4 √√x + 3 6x 1/0² - 1717 dx 4 X

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Q: An open-top box is to be made from a 12-inch by 42-inch piece of plastic by removing a square from…

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Q: The eigenvalues of the matrix 139 - 84 240 145 (a) Find an eigenvector corresponding to X₁ = 1 X1 =…

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Q: For u =(5,-5) and v = (-3, 2) find u. v. u v = 2.9 u•v=

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Q: COS X 6. y = x What is the appropriate formula? dx Solution:

A: Given query is to find the derivative of the expression.

Q: [ID # ending in 4 or 7] 2 Əv Determine ( + ду 2²v ах ду if v csch y = ex².

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Q: Find the area of the region under the graph of the function f on the interval [1, 5]. f(x) = 3x³…

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Q: The point P(9,7) lies on the curve y = √x + 4. Let Q be the point (x, √x+4). a.) Find the slope of…

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Q: A triangle has a base that is decreasing at a rate of 11 cm/s with the height being held constant.…

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Q: Let C₁ be the circle r = 3 cos 0 and C₂ the cardioid r = 1 + cos 0. O (a) Find all point (s) of…

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Q: Let f(x) = 3x² - 9x + 11 The slope of the tangent line to the graph of f(x) at the point (2,5) is…

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Q: The average monthly precipitation P (in inches) for a certain city can be modeled by P = 1.81…

A: We need to find average precipitation.

Q: 8c³ +9c -x³ + 9x In the following questions, determine the behavior of h(z) If a limit does not…

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Q: In 2000, the population of a city was 76,000. The population had grown to 111,000 by 2011. If the…

A: We have to find the year.

Q: xz •Evaluate So So So ²³x² sinydydzdx X

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Q: Use power series operations to find the Taylor series at x = 0 for the given function. f(x) = x = x…

A: Use power series of exponential function to find the right answer.

Q: 1 et f(x) = = . X Find the tangent line to the graph of the function at x = −1. y = 【 Find the…

A: Follow next step

Q: The f sin x cos x dx is not equal to {A} -cos 2x + C {B} sin²x + C {C}-{cos²x + C {D} sin 2x + C

A: A detailed solution is given below

Q: The cos³dy is {A}-sin+sin³+C 3 3 3 4 {B} sin¹-sin³+ C 3 4 3 4y (C)-sin-sin³+C {D}sin+sin³+ C

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Q: Evaluate the definite integral. 18t (elst i+e¹j+t k)dt S (¹²¹ ₁+ (e-1) i-(¹-1) j+k els 1 - (e¯¹ − 1)…

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Q: The f2e4t sec2e4t dt is {A} = = tan e 4t + C {B} = sec³e4t + C 16 {C} /e4t tan e4t + C {D} et…

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Q: Find the indefinite integral. Solution in handwritten. 1. f =dx /1+x4

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Q: A kite 100 ft above the ground moves horizontally at a speed of 13 ft/s. At what rate is the angle…

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Q: Use finite approximations to estimate the area under the graph of the function f(x) = x² + 1 between…

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Q: The equation of a surface in cylindrical coordinates (r, 0, z) is z = r²cos(20). The equation of the…

A: Cylindrical Coordinates :       x= r cosθ  , y= r sinθ , z=z

Q: Find curl(F x G) = V x (F x G). F(x, y, z) = i +5xj + 3yk G(x, y, z) = xi - yj + zk

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Q: 22. Differentiate. y = asinh x

A: Given,  y=xsinh x

Q: Let f(x)=√18 x. Compute f'(2) using the limit definition f'(2) = Find an equation of the tangent…

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Q: Find the average value fave of f(x) = f(c) = fave. fave = C = between 1 and 1, then find a number c…

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Q: Find the Taylor polynomial of order 3 generated by fat a. f(x) = In (x + 1), a = 7

A: The standard form of Taylor polynomial of degree 3 at a is given as: f(x)=∑n=0∞f(n)(a)n!x-an…

Q: If F(x) = f(t) dt, where f is the function whose graph is given, which of the following values is…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = t2…

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Q: 0 if t 5 Find the Laplace transform, F(s) of f(t) F(s) =

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Q: Solve the given differential equation by separation of variables. csc(y) dx + sec2(x) dy = 0

A: Solve the differential equation by separable variable

Q: Question 7  A business spends $80,000 on Marketing, $100,000 on R&D,  and $ 12,000 on Expenses.…

A: We have to find the ratio between spending.

Q: 12. y = −3 cos (0 + 1) − 2 Amplitude: Period: Phase Shift: Midline:

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Q: 1) Calculate the following integrals 1_dx a) S 4x²+25

A: Given; I=∫14x2+25dx    .....(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: What is the rate of change of distance between the top of the ladder and the ground?

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Q: 47-48 Find equations of the tangent line and normal line to the curve at the given point. 47. y =…

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Q: Solve the differential equation 2xy + y²) dx + (x² + 2xy-y²) dy = 0

A: A homogeneous differential equation is one in which the degree of the function f(x,y) is the same as…

Q: Use one of the following three formulas for the area of the region enclosed by C 1 fxdy = f - ydx =…

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Q: Find the divergence of the vector field F. F(x, y) = 4xe*i - 6x²y²j

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Q: solve the following equation 2sin3x+sin2x+1=0, on the interval 0<x<2pi

A: 2sin(3x)+sin(2x)+1=0Let f(x)=2sin(3x)+sin(2x)+1 , 0&lt;x&lt;2πThe graph of f(x) is shown below:

Q: A triangle has sides represented by the vectors (2, 1) and (3, 4). Determine the length of the third…

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Q: What two nonnegative real numbers with a sum of 66 have the largest possible product? The numbers…

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Q: Find the period of y=-3cos(3.7x). Round your answer to 1 decimal place.

A: " Since you have asked multiple question we will solve first one for you. Please specify question…

Q: Consider the function f that is continuous on the interval [-5, 5] and for which ſo f(x)dx = 4.…

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Q: Find T, N and B for the curve F(t) = (2 cos(5t), 2 sin(5t), 3t) at the point t -0 Give your answers…

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Q: The population of a city is 125,000. If the population is declining by 3% per year, what will the…

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Q: 5. y = 2 sin x y

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