Compute the resulting error in the function f (x) = x³ for value x = 2.38 with an error Ax = 0.005.

Q: if y=6x^5, then dy/dx=

A: We know that; The Power law: ddxxn=nxn-1 And a.f'=a.f' Given: y=6x5

Q: Consider the double integral •3 cos (a2) dx dy 3y COS

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Q: Find the focus of the parabola 4x +24 =8y-y².

A: Given: - The parabola is, 4x+24=8y-y2 To find: - The focus of the given parabola.

Q: The point P (4, -2) lies on the curve y = x2 - 7x + 10. The point Q (x, x2 - 7x + 10) is also on the...

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Q: Find the parametric equations for the tangent line to the curve x=t^2−1,y=t^4+1,z=t^4 at the point (...

A: Given: x=t2-1, y=t4+1, z=t4 Point 8, 82, 81, is for t=3 as you can see substituting it in the three ...

Q: Find a parametrization of the circle of radius 8 in the xy-plane, centered at (1,−4), oriented count...

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Q: The cost of certain piece of machinery is $ 700 and its value is depreciating with time according to...

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Q: regions between the given curve and y= 1 ,y=1, and y=4 1+y 134 X= 2

A: Given: - The curve is, x=11+y2, y=1 and y=4 and y=0 around the x-axis. To find: -The volume generate...

Q: Find the general solution of У" - Зу + 2у 3 2х3 - 9х? + 6х

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Q: mber of these fish reached 90 thousand in the year whole number.)

A: Given: The number of a particular fish in thousand x years after 1974 can be modeled by f(x) = 223(0...

Q: 4. Use the graph to find the following characteristics of a polynomial? K/5 4) Use the given graph t...

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Q: cosx+2sin x)ʻ dx sin x

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Q: raph of a function is given. y hich x in the range shown is the function increasing? For which x is ...

A: Given query is to find the interval of value of x where function is increasing and decreasing.

Q: For h(t)=-6t+7, determine h-1 (4). Show all steps pf your calculation please

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Q: 1. For the function g(t) whose graph is given below, state the value of each, if it exists. If it do...

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Q: f(t)=16t^2-64t, then f’(t)=

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Q: Find the component form of v given its magnitud and the angle ir makes with the positive x-axis. Mag...

A: Given that: Magnitude of v, ||v||=43 and angle, ∅=90°.

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A:  A sequence an is convergent if it has a unique and finite limit "a".And we say that the sequence is...

Q: For the following exercises, find the volume generated when the region between the curves is rotated...

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Q: Find the surface area of the rotating object from the curve y = x^2 with the constraint 0< x <1 rota...

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Q: Question 1 Find the limit. lim,-0(1 + 6x )' where r = 9/x. Write the exact answer. Upload your work ...

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Q: Match each graph to its corresponding function. 1. f(x) = Væ graph in blue 2. g(x) = Vx – 2 graph in...

A: Answer: The solution is as given below : 

Q: f(x)=2x^2-6x-1, find x so that f’(x)=0

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Q: find S z (Inz)? dz

A: Given,            ∫zlnz2dz

Q: 10 -10 At what values of x does ƒ (x) has an infinite limit (as x approaches this value)? Write down...

A: Given: To find at what value of x does f(x) has an infinite limit.

Q: Determine the particular solution of y"– 3y'+2y= 4e"; y(0)=-3,y'(0)= 5 using Laplace and Inverse Lap...

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Q: Scscx cotx sin (csc x )dx

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Q: Consider the function f(x) = -6x2 + 4x – 6. (a) Find all critical numbers c of f. c= (b) The local m...

A: topic - application of derivatives

Q: 28. tan (2x) sec (2x) dx

A: follow the procedure given below.

Q: Median Home Prices The median home price in a certain country over the period January 2010-January 2...

A: Given:- Median Home Prices The median home price in a certain country over the period January 2010-J...

Q: Evaluate f"(e) when e = 0 given f (e) = 2 sec 30

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Q: When a cake is removed from an oven, its temperature is 375°. The cake is placed in a room with a co...

A: Topic:- Calculus

Q: nj 00 Write out the first five terms of the sequence with, |(1 – „4)" determine n+4 n=1' whether the...

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Q: QUESTION 2 Differentiate of the following function with respect to x. a) y = x³ln (2x) 3x2+10 b) y =...

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Q: Variable Separable (8) dx dy e 3x+2y; Provide the explicit solution (9) secx dy = sec 2ydx

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Q: D Find a singular saluhion of DE: %3D

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Q: Select all transformations applied to the graph of function f(x) = Vx to get the graph of the functi...

A: Given query is to find the the transformation applied.

Q: Eliminate the arbitrary constants b2 x2 - a2y? = a²b? %3D |

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Q: 2e3 Evaluate 1- eT

A: Given query is to find the value of the integral.

Q: 1 dy rVx²-9/ -3 dx exVe2x_9,

A: ∫1xx2-9dx  

Q: nsider the graph of J belov y = f(x) (a) Analyzing the graph, if g(x) = f(x), then is decreasing for...

A: Given query is to find the indicated interval.

Q: Find the particular solution: (D^2-4)y=4x-3e^x

A: We need to find the particular solution of : (D2-4)y = 4x-3ex

Q: After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth i...

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Q: Find the 8th term of the arithmetic sequence -4, -9, –14, ... Answer:

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Q: Find the tangential and normal components of acceleration at the given time t for the plane curve r(...

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Q: Find the equation of the tangent to the graph at the indicated point. HINT [Compute the derivative a...

A: Given function is   f(x) = 7x + 1 To find the equation of the tangent at x=9. Now at x= 9 , f(x) = 7...

Q: Exact Differential Equations (2xy + 1)dx + (x² + 4y)dy = 0 (18) (6xy + 2y? – 5)dx + (3x2 + 4xy – 6)d...

A: First I have written the definition of exact differential equation and it's solution rule, just use ...

Q: A. Find the differential equation: (1) whose general solution is y = c,e-2x + Cze3x (2) by eliminati...

A: To find the differential equation.1 whose general solution is y=c1e-2x+c2e3x.2 by eliminating B and ...

Q: Compute the following limits. 4-(2+h) (a) lim (b) lim - x-2 h→0

A: Using rules of limits.

Q: x(x* –1) dx x' +1

A: This integral is of expression a2 + x2 .