The derivative of the function y = xe(5+sec(2x)) is: y' [1+ 2x sec(2x) tan(2x)Je(*ece(2x) y' [1+x sec(2x) tan(2x)]e5+secc2)) the above the above y= [1- 2x sec(2x) tan(2x)Je+see(2x) y' =[1-x sec(2x) tan(2x) Je+se(0) the above the above

Q: ng If C(t) = 50t e - 0.3t measures the concentration, in of a drug in a person's systemt hours after...

A: topic - maximum value of function

Q: dy cos(x +y), when x = 0,y == dx

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Q: Given w = xysin(z*), x=s-t, y = s°, z=t?. Use the Chain Rule to find aw - ysin z? + 4txyzcos z? aw -...

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Q: A rectangular prism with dimensions 6 m x 4 m x 8 m (l x w x h) is shrinking. 8 m 4 m 6 m Answer the...

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Q: u* + v*)du – uv*dv = 0 1 1 -5 и O Option 1 Option 2 1 1 u5

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Q: 2x2-4x Use the function g(x) = x2-9 a. Use a calculator to graph g(x). Make sure you have a window t...

A: Given function, gx=2x2-4xx2-9 Formulas used: ddxxn=nxn-1ddxconstant=0Quotient rule,ddxfxgx=gxf'x-fxg...

Q: Differentiate the following function. f(x)=(x^4-4x)^2 f'(x)=

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Q: 6. Find the domain of the following functions (where defined) a). f(x,y) = square root x+y+1/x^2 - ...

A: We can solve as follows

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. 357x dx хе ...

A: The integral is given by I = ∫xe357xdx                              ........1 To Identify: The expre...

Q: Show

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Q: Consider the equation y' + 5y = 2. Show that the function o given by: %3D 2 $(x) is a solution, wher...

A: Given y'+5y=2 We have to find ∅x

Q: (w - 3x +3)dw + ( 3w + x + 9)dx=0

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Q: of a drug in a person's system t hours after the drug is administered, what is the peak concentratio...

A: topic- application of derivatives

Q: (u* + v4)du – uv'dv = 0 1 1 и Option 1 Option 2 1 1 u5 Option 3 Option 4 None of the choices

A: Given differential equation, M(u,v)du+N(u,v)dv=0 Let 1N∂M∂v-∂N∂u=f(u), a function of u only Then e∫1...

Q: Prove the identity. cosh(-x) = cosh(x) (This shows that cosh is an even function.)

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Q: Given w = xysin(z ), x=s-t, y = s?, z= t2. Find . aw 2xyzcos z? aw az 2yzcos z? Option 1 Option 2 aw...

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Q: Activity 1: Find the value or values of x for which the curve of the following functions has a point...

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Q: 1. Differentiate. Do not simplify. 7 a. f(x) =- 2x3 5x6 8x b. f(x) = 2Vx – 3x c. f(x) = (2x – 1)³(5x...

A: Note: As per our guidelines , we can solve first three subparts . please repost remaining subparts.

Q: Exponential Model. In an introductory biology lab at Brock University, students observe a certain ba...

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Q: The table below gives U.S. lead emissions, L, into the environment in millions of metric tons for 19...

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Q: The force on a particle is described by 2x 1 at a point x along the x-axis. Find the work done in mo...

A: topic- definite integral

Q: Given R(t) = 4 cos ti + (1+ 3cost)) + 5sintk. Find R'(t).

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Q: For each of the integrals below, decide (without calculation) whether the integrals are positive, ne...

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Q: Set up the integral to find the area of the region bounded by y x2-1 and y = r+ 5

A: topic- area bounded by curves

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: The given function is; f(x)=ln(x),x0=e5

Q: y = In(4x² + 1)

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Q: ow far is the centroid of the area bounded by the curves y = e^x, y = e^-x, and x = 1 measured from ...

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Q: (m ?+a? +i) dm (m-2a )da + m =0

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Q: A boat traveling with a velocity measured in meters per second is described by the vector b⇀=⟨−2,−5⟩...

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Q: of a drug in a person's system t hours after the drug is administered, when does the drug reach it p...

A: Ct=49.3 t e-0.24t measures the concentration in ngml, of a drug in a person's systemt hours after th...

Q: Find the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or...

A: We have to find radius of convergence.

Q: Find the derivative of y with respect to 0. y= 30( sin (In (30)) + cos ( In (30))) de (Use parenthes...

A: topic- derivative of a function

Q: (-1)" (2n)! 27 En=1

A: The series is given by ∑n=1∞-1n2n!2n To determine: The convergence of the series using Series Ratio ...

Q: Find the derivative of y with respect to t. y= sin(6t)

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Q: What is the value of C when x=y=0? y = 2xy – x O 1 O -1/2 O 1/2 O None of the choices

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Q: a. Find a power function that models the data below. b. Find a linear function that models the data....

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Q: Analyze what solution you will use whether it is bernoulli's equation / solution by substitution / s...

A: Let's find. 

Q: The height (in feet) at any time t (in seconds) of a projectile thrown vertically is h(t) =-16t2 + 2...

A: We have to find the velocity when hits the ground

Q: Given R(t) = 4 cos ti + (1+ 3cost)j + 5sintk. Find B(t) att = B() =- 3 B(5) =+ 3 4 B(t) 5 k Option 1...

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Q: FDT. Given a function f(x) defined in a neighborhood of a critical point x = c, the first derivative...

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Q: Siven w = xysin(z*), x=st y =s², zt². Use the Chain Rule to find - ysin z + 4txyzcos z *-- ysin z + ...

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Q: Find the solution of the differential equation that satisfies the given initial condition. y' tan(x)...

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Q: Given: f(x) = 1/x, find f(0.01+h) - f(0.01) / h

A: f(x) =1/x 

Q: Logarithms. Use the laws of logarithms to expand and simplify the following expression in(2x*) 2x In...

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Q: - 0.13t If C(t) = 79.8t e ng of a drug in a person's systemt hours after the drug is administered, h...

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Q: dx а) Зx2 x3 + dy 8(у + 1) — 0 - у+1

A: Based on the general formula of differential equation we will solve the question. First by substitut...

Q: Consider the function y = -x3 + 3x² – 2. a) Find the critical points. b) Use the 2nd Derivative Test...

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Q: 1 dy 3 yz-+ y7 = 1, when x = 0, y = 3 dx

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