y Area is tan b- tan a. 1 y = + 1 -2 a ь 2

Q: A square is expanding in such a way that it's diagonal is increasing at the rate of 2in/s.  At what ...

A: Let the square of side length x.   Given diagonal is changing at the rate of 2 in/sec.   And perimet...

Q: If x>0 and arctan(x + h) – arctan(x) h 4 limp »0 then what is arcsin(x)? Lütfen birini seçin: Ο Α 2π...

A: Given: limh→0tan-1x+h-tan-1xh=47, x>0 we know that given limit is derivative of tan-1x and deriva...

Q: Twenty - eight percent of the cars owned by a car rental firm have some defect . What is the probabi...

A:

Q: Calculus Question

A:

Q: Can you help me with this problem?

A: Given:F=z,x,yor, F=zi + xj + yk Thus,    div F=∂z∂x+∂x∂y+∂y∂zor, div F=0

Q: y'''-y'=sin3x (using laplace transformation) where y(0) = 0 and y'(0) = 0, and y''(0) = 0

A: Given y'''-y'=sin3x  where y(0) = 0 and y'(0) = 0, and y''(0) = 0  

Q: Calculate the arc length integral s for the logarithmic spiral c(t) = (e' cos(t), e' sin(t)) for 0 <...

A:

Q: please help me

A:

Q: 2a and 2b. Please answer quickly thank you!

A: Given The table show the value of a differential function g and its derivative g' . x 0 1 2 3 4 5...

Q: a) f(4x)dx x)cx

A: ∫02f4xdx Now, solve the above integral, ∫02f4xdx=∫01f4xdx+∫12f4xdx=f4·1-f4·0+f4·2-f4·1=f8-f0=1-0=1 (...

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: To evaluate the definite integral: ∫071100-x2dx Solving the given definite integral.  ∫071100-x2dx=∫...

Q: I need help with this ones please :)

A: given: the coordinates of point A are (6,-3) and the coordinates of point B are (-2,-1). L1 is the l...

Q: 3- Please I want solution for all subpart questions. Thanks

A: Y x X is the cartesian product elements of X and Y taken Y in first place and X in second place. It ...

Q: Use a line integral to find the area of the region R. R: region bounded by the graphs of y = 8x and ...

A: To find the area of region bounded by graphs   y = 8x and  y= 9- x2

Q: The amount of caffeine in a person’s body follows an exponential function, as do many drugs. The hal...

A:

Q: 1a and 1b

A: Given, A(x)=∫-6xf(t)dt

Q: A merchant plans to buy and sell two models of compct disc burners, a basic model and a superdeluxe ...

A: LPP: A merchant plans to buy and sell two models of compact disc burners, a basic model and a super ...

Q: Determine whether these series converge or diverge, and if possible, find the sum. k+2 1 2k+1 k=1 k=...

A: We are answering only the first question as per our honor code. Given, a series ∑k=1∞23k+2. We have ...

Q: A fruit company dellivers its fruit in two types of boxes: large and small. A delivery of 8 large bo...

A: A fruit company delivers its fruit in two types of boxes: large and small. Delivery of 8 large boxes...

Q: below question

A:

Q: 1. Find the derivative of the following:

A:

Q: Explain why, if a function u satisfies theequation, then it also satisfies the equation u'(x) + 2u(x...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Graph polar equation r = 2 sin 3θ. Be sure to test for symmetry.

A:

Q: A company sells chocolate in rectangular boxes whose volume is 120cm^3. For display purposes, the le...

A:  Given that the volume of rectangular boxes is 120cm . Then length of the box is three times the wid...

Q: et xp- 1+ e2= Evaluate

A:

Q: 1 Quadratic Equations Find all solutions of the equation and express them in the form a + bi. 61. x²...

A: Hello! Thank you for the question but as per our honor code, we'll able to solve only the first ques...

Q: This question is from my final review, can you please elaborate the steps so I can use it to study, ...

A: Let at any moment height and radius of a cone made by water is h and r respectively. From the simila...

Q: 3b! please answer quickly thank you!

A:

Q: A force of F(x)=x2−cos(3x)+2, x is in meters, acts on an object. What is the work required to move t...

A:

Q: TT/4 3284 ;dx 4+4x2

A:

Q: Derivatives of Inverse Trigonometric, Logarithmic, and Exponential Functions y= In √ x2+5

A: The function is y=lnx2+5.   Differentiate the function with respect to x. dydx=ddxlnx2+5=1x2+5ddxx2+...

Q: The demand function for a product is modeled by p(x) = 50e -0.0000125x where pis the price per unit ...

A: Given demand function is p(x)=50e-0.0000125x. Obtain the revenue function. Rx=xp(x)=x50e-0.0000125x=...

Q: PRACTICE ANOTHER   Find the area (in square units) of the region under the graph of the function...

A: Given,          fx=2x+4 ; -1,5We know that,          The area under the curve of a function fx is gi...

Q: Equations of parabolas Find an equation of the following parabola.Unless otherwise specified, assume...

A: we have to find an equation of the parabola whose vertex is at the origin and focus is at (3,0).   a...

Q: Find      (a) f (x) + g(x),   (b) f (x) − g(x),   (c) f (x) ∙ g(x), and (d) f (x) g(x).             ...

A: We have to find the functions operation: a fx+gxb fx-gxc fx.gxd  fxgx Where fx=x2+5x+4 and gx=x+1 So...

Q: For the box shown below, determine the value of x if the total area is 94 cm3. !x+2

A: Length of the cuboid is x+2. Width of the cuboid is x. Height of the cuboid is 4. Total area of the ...

Q: Using Part 2 of the Fundamental Theorem of Calculus, calculate the derivative.

A: Given : ddx∫x4e11xlntdt

Q: Use Green's Theorem to evaluate the line integral. y dx + 7x dy C: square with vertices (0, 0), (0, ...

A:

Q: F(x) = 7. (2t – 1)° dt

A:

Q: Function is y= -x^2+20 on [0,4]

A:

Q: Differentiating the function f(x), using the Chain Rule. f(x) = {Vx5 + 6x f'(x) = =(x5 + 6x) 3 A 5x4...

A:

Q: i need help by Partial Fractions

A:

Q: Determine the speed (in meters per second) of a particle with a trajectory (2 sin (3t), 9 cos (3t)),...

A: Consider the given parametric equation of the trajectory of the particle, 2sin3t,9cos3t so we can wr...

Q: The Proff+ P (in thou sends of $) fora company in terms of the amount $ Spent on advertising (in tho...

A: Point of diminishing returns is found by equating the second derivative of profit model equation to ...