Sketch the graph of a function such that lim f(x) = -3,f(0) = 2, ƒ(2) = 5, and lim X-2 doos not oxict

Q: h(x) = [square root] 5+4f(x) f(4)=5 f'(4)=2 find h'(4)

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Q: Evaluate the limit 4x2 5x + 5 lim x → - 2 x – 7

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Q: Determine the Mc Laurin Series Expansion of the function and express the terms in power series formu...

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Q: find dw and w for the folloing function 5

A: Let's find. 

Q: Consider the following. 2(x - 9)2 + (y - 6)2+ (z - 4)² = 10, (10, 8, 6) (a) Find an equation of the ...

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Q: Example 1: A particle is moves along a coordinate axis in the positive direction to the right. Its p...

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Q: Please do number 9

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Q: 一名 ース 1-X

A: We can find the integration as below

Q: Use the Laplace transform to solve the initial value problem y" + 4y' + 3y = 0 y(0) = 2, y'(0) = –1 ...

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Q: . Suppose that your best friend has calculated the partial derivatives of a given function f(x, y) a...

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Q: Let f(x) = x2(squared) − 3x + 4 and g(x) = √x − 3. Find the following (a) f(0) (b) f(2) (c) g(12)

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: For real number p, let f and g be defined by f(x)= e¬*x³ and g(x)=1/xP, respectively on [1,0). f(x) ...

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Q: cos x 3) 1+ sin x 6) [cosh vdv

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Q: dy 2y_(x+2)² %3D dx x2 -4 x² -4

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Q: 48. Let f be a function defined on ]0, 1[ by : 0, if x is irrațional f (x) = {1/q, if x=p/q; where p...

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Q: The force exerted by an electric charge at the origin on a charged particle at the point (x, y, z) w...

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Q: Let f(x, y) = 6x – 2ry and the point M(5, 9). Among all unit directions, there is a unit direction (...

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Q: (-1)"n For positive integer n, let an = 3" (a) Determine whether the sequence {an} is convergent.

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Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +...

A: We have to find the equation of normal and tangent line. 

Q: + 3х — 1 V4r6 – 2x lim -00

A: Given that:limx→-∞x3+3x-14x6-2x

Q: Transform the polar equation T - 6 csc 0 to an equation in I and y.

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Q: |e2* sin (3x) dx sinh (Vx) dx

A: We have to evaluate given integration.

Q: ite the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer ...

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Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1

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Q: (e* + y)dx + ( 2+x+ ye )dy =0

A: See the details solution in below

Q: 3, 4, 5, 6, 7, 8, 2, 10 and 11 A vertical plate is submerged (or partially submerged) in water and h...

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Q: A point has rectangular coordinates - 6, – 9). Convert to polar coordinates, with r> 0 and 0 <0 < 2n...

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Q: Let f(x, y) = (x+(G))'. Determine the directional derivative of f at the point (1,0) in the directio...

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Q: Among all the points on the graph of z = 10-x2 -y² that lie above the plane r+2y+3z = 0, ind the poi...

A: Given that z=10-x2-y2 and x+2y+3z=0 Find the point which is farthest from the plane.

Q: 20/(1+e(-.25)(t-10)) At what two points is the population growing the slowest?

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Q: The formula for the volume of a right circular cylinder of radius r and height h is V = πr^2h. At th...

A: We will find that how fast is the height of the cylinder changing at this same instant?Below find th...

Q: Solve dy 2 3y dx 2.x ||

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take y a...

Q: nsw

A: [16+(-4)](-4)

Q: dx (3 + 4x – 4x²)/2

A: NOTE: Refresh your page if you can't see any equations. . add and subtract 1/4 ..................

Q: Determine if the following series converges or diverges. If it converges find its value. n²+ 4n+3 5/...

A: Wi will use partial fraction to solve the given problem.

Q: What are the critical numbers of the function? f(t)=8(t^2/3)+t^5/3

A: We have to find critical numbers.  

Q: = (x²ye 3xy²) dy dx

A: dx = x2yey3 - 3xy2 dy

Q: 3 +1 mect

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Q: 11. True or False Every relation is a function. 12. True or False The domain of (f·g) (x) consists o...

A: 11. Every relation can not be function because for relation there is only one image of input X but s...

Q: solve for orthogonal trajectories y^2=4x^2(1-kx

A: For finding orthogonal Trajectories :step 1 : Let f(x,y,c)=0 be the equation of the given family of ...

Q: Show, without reference to right triangles, that arctan x + arccot.x = }r for all real x. HINT: Use ...

A: Solution -  To show,  arctan x + arccot x = 1/2π  for all x 

Q: 1 Solve the equation: 1 x + 3 1/4

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Q: 5) Given a curve y = f(x) has a tangent line y = 3x - 4 at a point (- 2, 1) and a tangent line y = -...

A: Topic  = Derivative As per guidelines , At a time only one question can be answered.

Q: solve using variation of parameters or reduction of order (D^2 +1)y = tanx

A: Let's find. 

Q: 33. For what values of x does the graph of f(x) = x +2 sin x have a horizontal tangent? %3D

A: We need to find values for which the function have horizontal tangent.

Q: Write the parabolic equation in standard form and identify the vertex, focus, directrix, and directi...

A: As you have asked multiple questions so I have answered first question as per the guidelines.

Q: Solve the differential equation. dx = (x2yey^3 - 3xy2) dy

A: dx = x2yey3 - 3xy2 dy

Q: Use the parallelogram law to verify the triangle inequality |u + v| < Ju] + ]v[ for the given comple...

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Q: eliminate the arbitrary constants. x = k + ct, y = c2t2

A: Eliminated k and c and form a single equation.

Q: Find the the arc length of y = 3x² – 2 from x = 0 to x = 4 No decimal entries. Find the exact value....

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