rule

Q: Solving Systems by The y's have been eliminated. What is the value of x? -14x = 7 -2x + 4y = 15 -12x...

A: By using eliminated method 

Q: Calculus Question

A: Given line is: 8x+5y=20 For calculating the y intercept, put x=0 So,  8×0+5b=205b=20b=4 is the y-int...

Q: Please Help with this

A: Compound interest can be found as below : P = initial investment = $4500 r = interest rate = 12%=0....

Q: Find General solution to the following problem

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Q: Find the areas enclosed by the following curves: x + y? = 3 4x + y? = 0 37 4x + y? = 0 %3D -1 -3-

A: Area between two curves

Q: A cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar vess...

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Q: Prove that 3 12 -1 56 sin + cos = sin 13 65

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Q: Find the value of the differential dy for y = e7x + 2x if x = 0 and dx = 0.1.

A: d/dx(e^(mx))=m e^(mx)

Q: %3D i) Find the tangent line to f (x) = tan x + 9 cos x at x = T

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Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it does...

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Q: y=x^2 + 3. The equation of the tangent is y=Ax+B at x=5. The equation of the normal is y=Cx+F at x=5...

A: Giveny=x2+3At x=5y=52+3⇒28dydx=2xSlope m=dydxx=5=10

Q: please solve the example questions below with steps and explanations.

A: We'll answer the first question only since the exact one wasn't specified. Please submit a new quest...

Q: Find the areas enclosed by the following curves: y = xv1– x², and y = 0

A: Given equation of curve. y=x1-x2y=0

Q: Please answer the question clear and organized. I need answer now necessary Please

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Q: Find  dy dx  by implicit differentiation. cos(xy) = sin(x + y)

A: some equations in x and y do not explicitly define y as a function x and cannot be easily manipulate...

Q: f(x)=2x(10x/x2-1 +7x5 Finf f'(x)

A: We can solve the given problem using chain rule of derivative.

Q: Find the derivative of y with respect to s. y3Dsec -1 (7s° + 5) dy ds

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Q: Help

A: This question is about pythagores theorem 

Q: Problem "Integrals of Trigonometric and Exponential Functions Exponential functions". Please help ...

A: Put back u= (2/3)x Hence above is the required solution of given integral

Q: Q19:- Find the magnitude of the maximum and minimum directional derivatives of the function w = e2xy...

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Q: (2え-4x- 2X-4X-

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Q: tan(5x) 2. lim 3x

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Q: Find the areas enclosed by the following curves: x + y? = 3 and 4x + y? = 0 %3| %3D 3- 2- 4x + y? = ...

A: given curvesx+y2=3 and 4x+y2=0these curve intersect at points (-1,-2) and (-1,2)for finding the encl...

Q: What is the equation of the tangent line of y=4(x^3)-7(x^2) at the point x=3

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Q: Apply the power rule to g.)

A: (g) To find: The derivative of the function f(x)=7x. Concept used: Power rule of differentiation: dd...

Q: 1 (е) -dx 2х — 3 а? — 4 |

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Q: Apply the power rule to b.)

A: apply power rule to b

Q: Find the radius and height of a cylindrical can of total surface area A whose volume is as large as ...

A: Find the radius and height of a cylindrical can of total surface area A whose volume is as large as ...

Q: Find partial fraction decomposition -2x^3+36x^2-199x+375/x(x-5)^3

A: Given : −2x3+36x2−199x+375x(x−5)3

Q: Find the derivatives: a. d100/dx100(cos x) b. d101/dx101(cos x) c. d102/dx102(cos x) d. d103/dx103(c...

A: ddxcosx=-sinx = cosπ2+xd2dx2cosx=-cosx = -sinπ2+x = cos2.π2+xd3dx3cosx=sinx =cos3.π2+xd4dx4cosx=cosx...

Q: Evaluate the following: Integration by substitution  i need solution

A: As per the company guidelines we can solve first three parts. I hope that the given solution will he...

Q: (a) Find a power series representation for the following function. f (x) = In (1+ x) (-1)"-1," Σ O n...

A: Please see the explanation below

Q: find the domain of each rational function. Find any horizontal, vertical, or oblique asymptotes.

A: Given that the function is R(x)=x+2x2-9 The function of graph is below

Q: Find the number of rearrangements of the letters in the word CARRIER

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Q: Find the area enclosed by the two curves  f(x)=3xe3x  and g(x)=5x between x = 0 nad x = 1 Give your ...

A: The given functions are: f(x)=3xe3x      and      g(x)=5x The given function intersect at:  x=13ln53

Q: The depth, d metres, of water in a harbour t hours after midnight can be approximated by the sinusoi...

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Q: 2. Use the graphing feature of your calculator to find and list all the roots of the given equation....

A: Graph of the function is shown below

Q: My question is attached.

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Q: 5. A particle moves according to the function s(t) = t³ – 3t2 – 24t + 5. When is the particle slowin...

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Q: 1. Which of the following Diophantine equations cannot be solved? (a) бх + 51у = 22. (b) 33x + 14y =...

A: The diophantine equations are of the form ax + by = c, if c can be divided by the greatest common di...

Q: 1. What is the average value of y = e* on the interval [2,7] ? e7+ e? А. e7+ e? В. 5 2 c. e7- e2 С. ...

A: To determine the average value of y = ex on the interval [2, 7].  

Q: Apply the power rule to f.)

A: First Represent the f(x) in x to the power  form than take derivative.

Q: Let a be a positive constant. Let f(x) = x (Vx +a). Which of the following numbers is\are critical n...

A: given function :

Q: Solve x2 + 2x + 2 = 0 in the complex number system.

A: Explanation: Given that,  x2+2x+2=0   Concept Used: Quadratic formula- x=-b±b2-4ac2a

Q: Find the slope of the tangent line to the curve 5 sin(z) + 4 cos(y)- 5 sin(z) cos(y) + z = 3x at the...

A: Consider the curve  5sinx+4cosy−5sinxcosy+x=3π

Q: Find the radius of convergence and interval of convergence of the series. Could you show how to find...

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Q: Suppose that f(1) = 4, f(4) = 5, f '(1) = 6, f '(4) = 3, and f " is continuous. Find the value of xf...

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Q: Determine whether the function is concave up or concave down at the indicated points. g(x) = 3x - 5x...

A: The given function is: g(x)=3x4-5x3+12x-4

Q: Q9

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Q: please solve the example questions below with steps and explanations.

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.