1.9 1.99 2.01 2.1 f(x) T(x) 2.

Q: Does a Taylor series always converge to its generating function? Explain.

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Q: 3 Given f(x) = (4-a)3 Evaluate lim→4+f(x)

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Q: 5а + 26 if x — 4 - 2 if x = – 4 - Select all statements below that you agree with. Note: You may be...

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Q: Write expressions for the scalar and vector projections of b onto a. Illustrate with diagrams.

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Q: Evaluate lim,0

A: We try to find the limit by substitution  

Q: How can you sometimes use power series to estimate the values of nonelementary definite integrals? T...

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Q: 1 Differentiate f(æ) = sin-(4x). Use exact values. = (x),f

A: We use the chain rule for differentiation  

Q: Is ∇ ⋅ (uF) a vector function or a scalar function?

A: let us take  Then, Therefore, ∇ ⋅ (uF)  is a scalar function  

Q: I need help solving the following

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Q: The sine integral function   Si (x)    =∫0xSint /t   dtis important in electrical engineering. [The ...

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Q: Mark the critical points on the following graph. æ²e¯, 0.2 2+ 1.8 1.6 1.4 1.2- 0.8 0.6- 0.4

A: Critical points are calculated by the equating the slope of a function equal to 0. Slope equal to 0 ...

Q: (b) 를/ dx 3

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Q: Calculus Question

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Q: Write an equation for the quadratic graphed below x-intercepts: (-2,0) and (1,0). y-intercept: (0,1)...

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Q: By how much will f(x, y, z) = e" cos yz change as the point P(r, y, z) moves from the origin a dista...

A: Given function is At origin,

Q: Express the integral as a limit of Riemann sums. Donot evaluate the limit.

A: By definition of Riemann sums, we have where  

Q: A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east aw...

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Q: Prove that  d/dx[cot(x)]= -csc^2(x)

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Q: Find the limit. Use a graphing utility to verify your result.

A: We first rationalize the numerator   

Q: Find the surface area of the cone frustum generated by revolving the line segment y = (x/2) + (1/2),...

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Q: Approximate the fixed point of the function to two decimal places. [A fixed point of a function f is...

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Q: 2. If u is a unit vector, find u v and u w. u

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Q: For the function f(x) = x³ – 27x, its local maximum is which occurs at ( its local minimum is which ...

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Q: 7. The Triangle Inequality for vectors is |a + b| < |a| + [b|. Write a sentence explaining the geome...

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Q: Using the value of K=300,alter the formula g(t)=k/(k+t2) by scaling and shifting g(t) to get a new f...

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = x ln x/1 + ln x

A: Let us assume u and v  

Q: Consider the function f(x) = x² – 18x² + 1, -2 < x < 7. Find the absolute minimum value of this func...

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Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder. ...

A: The length of the ladder is a, the height of the wall is h at time t and the distance from the wall ...

Q: Calculus Question

A: The given function looks like y=c+asec(b(x-d))   a= (2-(-4))/2 = 6/2 a=3 The function should have ha...

Q: Given the formula below for R and using linear approximation,the change in the range (R) of a missil...

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Q: Find y". y3 (x-6)-5 O 20(~x-6)-7 (Vk - 6)-6 (Nx-6)기 6. -5 6. Wx-6)

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Q: Consider 4)*xr* In+2 Determine the radius of convergence. Show all work. Determine the interval of c...

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Q: Find each of the following limits. -3(x + 2) lim x→-2 x2 + 4x + 4 help (limits) -3(x + 2) lim x→-2+ ...

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Q: Evaluate the line integral, where C is the given curve. | xy? ds, C is the right half of the circle ...

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Q: Evaluate the integral or state that it is divergent.

A: To evaluate the integral.

Q: Find the derivatives of the functions w = re-r

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Q: Explain why or why not Determine whether the following statementsare true and give an explanation or...

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Q: Factor trinomial, or state that the trinomial is prime. 8x2 + 33x + 4

A: We multiply 8 and 4. So 32 Then we factor 32 so that the sum of the factors=33 Such factors are 32 a...

Q: Show that a moving particle will move in a straight line if the normal component of its acceleration...

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Q: a. Find ƒ -1(x).b. Graph ƒ and ƒ -1 together.c. Evaluate dƒ/dx at x = a and dƒ -1/dx at x = ƒ(a) to ...

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Q: Find an equation of the tangent line to the graph at the given point. (x +2) + (y- 3) = 37, (-3,-3)

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Q: Use the in fo aiven in the chart and the funchion H(X) below to find H(2). Simplif as much as possib...

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Q: Evaluate limx=0 (e-ax - e-bx)/x

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Q: The height y (in feet) of a ball thrown by a child is y = - 167 + 4z + 3 where z is the horizontal d...

A: The height of ball thrown by a child is where x is the horizontal distance in feet from the point a...

Q: Finding potential functions Determine whether the following vector fields are conservative on the sp...

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Q: Calculus Question

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Q: The graph below is the function f(x) 3 Q1 -5 -4 -3 -2 1 2 3 4 5 -2 -3 4 -5 Find lim f(x) = x→ -1- Fi...

A: Left hand limit of f(x) at x=-1 is the value to which f(x) approaches as x approaches to -1 from lef...

Q: 12 - Which of the following is the volume of the object that occurs when the region bound by the xy ...

A: We sketch the region using a graphing calculator  The shaded region rotates around the y axis  

Q: Normal component Let C be the circle of radius 2 centered at theorigin with counterclockwise orienta...

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating about the x-axis the reg...

A: We first sketch the region using a graphing calculator  the shaded region is rotating about the x a...

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: