For Exercises 1–2, simplify the expression. 8! 1. 3! · 5! (2n + 1)! 2. (2n – 3)!

Q: Find the equation of the tangent line to the curve t(x) 16 -4Vx at x = 4 %D O y=-2x-4 O y=2x-4 O y=-...

A:

Q: How do I rewrite the cartesian equation y = 5x2 as a polar equation? r(θ) = ???

A: Concept: In polar coordinates, x=rcosθ,y=rsinθ and x2+y2=r2 Here, the objective is to express the ca...

Q: Lat f be a continous and differentiable function. If f'(c) = 0 then c is a local maximum or local mi...

A: Answer 

Q: In a given electrical network, the equations for the currents I1, I2, I3 are givenby:?? +??? =?−??? ...

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Q: (x+y)- a. Solve:

A: Given equation, x+y2dydx=a2 Let,  x+y=u  differentiating with respect to x, 1+dydx=dudxdydx=dudx-1No...

Q: 9) The graphs below show the fint and second derivatives of a function y -fx). Select a possible gra...

A: The graph of first derivative and second derivative of function is shown above in the question.

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Q: a. Let ƒ(x) be a function satisfying 0 ƒ(x) 0 … x2 for -1 … x … 1.Show that ƒ is differentiable at x...

A: The differentiability of the function can be determined with the help of the left-hand derivative an...

Q: The easiest way to evaluate 2 8 5 -4 3 5 7 0 is to expand about the elements in -6

A: A square matrix is a matrix whose number of rows and columns is the same. Determinant can be compute...

Q: 2. For the function f(x) = 2x - 3x + 1, find the following: (b) f(-x) %3! (a) f(3) (c) f(x + h)

A: Given : For the function f(x)=2x2-3x+1(a) To find: f(3)=232-33+1f(3)=10

Q: For Exercises 28–30, find the sum. 28. 3 + 10 + 17 + 24 + . + 437 36 68 29. У (2 — 5n) 30. Σ(5+ ) n=...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: In the given question , use the graph shown in the figure and attached via snipped with every questi...

A: Given,

Q: Finding the Derivative by the Limit Process In the given question/s, find the derivative of the func...

A: Here given as hx=-2x  

Q: Find the area of the sector of a circle with radius of 15 feet formed by a central angle of 280 degr...

A: To fins the area of sector

Q: calculate the derivative. y = tanh(t2 + 1)

A: Given: calculate the derivative.  y = tanh(t2 + 1)

Q: Given g(z) = In(5z+), the derivative g (z) is. %3D O 42 O 5z +z O 20z +1 O 20z +1 5z4 +z 5z +I 20z+1

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Q: Find the exact value of each expression.

A: the given expression is: sinsin-112+cos-10 we have to find the exact value of the given expression.

Q: Provide an appropriate response. 10x2 - x2y +10,2 x2 + y2 Define f(0, 0) in a way that extends f(x, ...

A: The given function is: f(x, y)=10x2-x2y+10y2x2+y2

Q: Give the coordinates of the center, vertices, covertices, foci, orientation, lengths of major and mi...

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Q: A vector field is given as F = âr2r“ + a¿r²CoSo + âz5z. Verify Stokes theorem for this vector field ...

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Q: How do I solve 3cos(2t) = 3sin2(t) + 2 for all solutions 0 ≤ t < 2π t = ???

A: The equation is 3cos(2t) = 3sin2(t) + 2 Subtract 3sin2(t) + 2 from both sides 3cos(2t) - 3sin2(t) - ...

Q: I need help on long division on question #17 in pre-calculus.

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Q: Pind The second derivative of the following function F(X)=e

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Q: Copy the following Venn diagram and shade each of the following sets separately. A (i) An (BUC) (ii)...

A: In the Venn diagram U is the universal set .The Universal set contains all the sets . In the union o...

Q: V14 Let 0 be a quadrant Il angle with sin(0) || 5 Find cos

A: The trigonometric identities can be used here, sin2(θ)+cos2(θ)=1 cos2(θ)=2cos2θ2-1

Q: What are the dimensions of a closed recrangular box that has a square cross section a capacity of 14...

A: Given that the dimensions of a closed rectangular box that has a square cross sections a capacity of...

Q: If f and g are differentiable and f(x) s g(x) on [a, b] then f'(x) <g'(x) on [a, b]. O True O False

A: let us aasume f(x)=lnx and g(x)=x2  a=1/2 and b=1 f(x)&lt;g(x) on [1/2,1] since f(x)&lt;0 and g(x)&g...

Q: For the function defined as follows, find the Taylor polynomials of degree 4 at 0. ƒ(x) = e3x

A: To findTaylor polynomial of degree 4 at 0

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but curren...

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Q: find the work done by each field along thepaths from (0, 0, 0) to (1, 1, 1) in Exercise 1.F = 2xy i ...

A: Given: F=2xyi+j+x2k To Find: Find the work done by each field along the paths from 0,0,0 to 1,1,1. C...

Q: The equation of the tangent line to the curve x? + y² = 64, at (5,-18) is

A: The given equation is x2+y2=64 Differentiate both sides w.r.t. x, 2x+2ydydx=0 dydx=-xy evaluate dydx...

Q: Find maximum and minimum points of the following function: y = 3x? – 2x +1

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Q: Solve the following differential equations: (1) xdy-(tan y+xsec y)dx 0. d'y (2) +4y-(cosx) =0. dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

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A: In the question it is asked to calculate the value of x for the function cos(2x)=sin(x) between the ...

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A: Given: fx=x2. Here, fx describes the area of a square in square in inches

Q: Plot the points with polar coordinates:(2, π/6)

A: Given: Plot the points with polar coordinates: (2, π/6)

Q: Find an equation for the tangent line to the graph of the given function at (3,2). f(x) = x² - 7 Fin...

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Q: 1. Let f(x) = ³ + x +1 for x E [0, 1]. Note that this function is continuous, increasing, invertible...

A: In the question we have to solve for function f(x)=x3+x+1 for x∈[0,1].

Q: dy If y = esr+11 then- dx 8e8x+11

A: If function is efx,  then its derivative is f'x efx

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Q: х*- 81 Find Ltx-3 2х* — 5х — 3

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Q: pls solve B

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Q: The depth of water in a 4m diameter cylindrical tank is increasing atthe rate 0.7m/min. Find the rat...

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Q: The equation of the tangent line to the curve x2 + y = 9, at (6,-16) is %3| 16 y = (x + 6) – 16 6 6 ...

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Q: Find the derivatives of the functions in Exercise

A: Given function is: ft=t2-1t2+t-2⇒ft=t+1t-1t-1t+2⇒ft=t+1t+2

Q: Give the coordinates of the center, vertices, covertices, foci, orientation, lengths of major and mi...

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Q: x³ + y³ ху? limit depends on m, and therefore the limit Let f(x, y) = Set y = mx and show that the r...

A: Limit is basic concept in calculus which shows the behavior of a function at particular point as fun...

Q: number 2 only hehe, rush

A: (2) Given: y=exex+1 y=1 The line and the curve has no solution therefore they do not intersect eac...

Q: Question 7 7 da a4 1 Calculate the integral: a) OIn|2 - 1| + C b) O미-1 + C 7 c) 0arctan(2) + In|(x -...

A: See the attachment