Find the area under the curve y=x3+3x2 and the x-axis between x=1 and x3D3. O 46 sq. units O 54 sq. units O 36 sq. units O 28 sq. units

Q: Find the linearization at x = a. y = (10 + x)-12, a = 9 (Use symbolic notation and fractions where n...

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Q: Find the following using the table below. 1 2. f(x) f'(r) 4 2. 3 4 3 2 4 3. g'(x) 4 3. 1 h'(4) if h(...

A: Topic:- function and it's Derivatives

Q: 13 Use the Linear Approximation to estimate Af for f(x): when a = 2 and Ax = 2+x %3D (Use decimal no...

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Q: Calculate the Taylor polynomials T, and T3 centered at x = a for the function f(x) = 19 1n(x + 1), a...

A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=0+ddx...

Q: The hourly operating cost of a plane which seats up to 405 passengers is estimated to be $5,247. If ...

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Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in mete...

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Q: Evaluate the following integral: 23: tanh 7tx dx

A: Given that: ∫tanh(7πx)dx

Q: Given a right triangle. The hypotenuse is 5, the two sides are "a" and "b". The angle that is opposi...

A: Given that: Hypotenuse = 5.Two sides are a and b.Angle opposite to side b is 30°.

Q: 2 dx (х-3)6 V-x2+6х-5

A: Given:      ∫2x-36-x2+6x-5dx     =2∫1x-36-x2+6x-5dx substitute u=x-3→dudx=1→dx=du                  x...

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

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Q: Find the increase in the volume of a spherical balloon when its radius is increased from 2.5 inches ...

A: Given: Initial radius = 2.5 in Final radius = 3.0 in

Q: A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t, where t is...

A: Given:- A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t4 , ...

Q: Let us say that you are planning to calculate the volume of the space inside a can that is about 3 i...

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Q: e height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - 1...

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Q: If {xn} is a bounded sequence on R. Prove: lim n→+∞

A: Given  sequence xn is bounded  we want  to show that  limn→∞xnn=0

Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by...

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Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) 9. lim x→o+ x² X

A: Follow the procedure given below

Q: 3. The graph shows a hill walker's trek. She stopped for a rest at 12:00 and for lunch at 13:00. 11:...

A: Given, the distance-time graph of a hill walker's trek. We know that, the slope of a distance-time ...

Q: с) dx + 8 (x) dx A) True B) False

A: We have to solve TRUE/FALSE

Q: Determine the rate at which the height of the pile is increasing at the exact moment the height is 2...

A: solution

Q: B. Find the slope of the curve at the given point. 1.) y = x? – 5 at (1, -4) 2.) y = 3x? – 4 at (0, ...

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Q: The radius of a circular oil slick expands at a rate of 3 m/min. (a) How fast is the area of the oil...

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Q: Let R be the region bounded by y = 7 sin(z), y = 7(x – 2)*, and y = 3x + 4, and containing the point...

A: R be the region bounded by y=7sinπ2x, y=7x-22 and y=3x+4that contains the point 2,7.

Q: A car travels down a highway at 25 m/s. An observer stands 200 m from the highway. (a) How fast is t...

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Q: Find an equation of the plane containing the point P(2,1, –1) and having the normal vector N = -î+3 ...

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Q: Consider the following. y = tx2 + t8x Find dy dx dy dx dy Find dt dy dt

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Q: Determine which one of the following defines y implicitly rather than explicitly. A) y = 3sinx B) y ...

A: To write the function which defines y implicitly. 

Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(x) =|

A: f"(x) = 4 - 6x , integrating the equation  Using the formula ∫ xn dx = xn+1 /(n+1) ∫ f''(x) dx = ∫ 4...

Q: Find the solution set of 5y-x=2 and x+y=1.

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Q: dt 4е-t — et

A: ∫14e-t-etdt=∫14et-etdt=∫et4-e2tdtlet  et=uthen∫et4-e2tdt=∫14-u2du

Q: Find the limit: 1+y² In lim (x,y)→(1,0) l22+xy/

A: Topic:- limits 

Q: Find the area in the first quadrant bounded by the coordinate axes Va + Vỹ = 1 and the parabolic arc

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Q: z = x² – y² Use this equation 1. Write the equations for xz- and yz-traces. 2. Plot (rough) the xz- ...

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Q: The graph of y = f(x) (solid) and y = g(x) (dashed) is shown 6+ 4 -6 -5 -4 -3 -2 -2- -4- -5- -6+ Fin...

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Q: 6. x+1 f(x)= x?ーx-2 !! 8. f(x) オー1 10. sa) = {*, **1 s(x) = 0, %3D X=1

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Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the ...

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: The equation of the plane through the point (2, 5, 7) that is parallel to the line 7(t) = 3î + 2 – 2...

A: Explained below 

Q: Solve (x+y)dy = (x-y)dx

A: Explained below 

Q: E. Find the cartesian equation of the following: 2. r2 cos(20) = 4 %3D

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Q: Find the area R -region bounded by the curve y=1/x^2 and the lines y=x and y=x/8.

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Q: Consider the graph of the function f(x) shown below. y List any x-values at which f is not continuou...

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Q: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(4x + 3)-1 – 1000 where x is ...

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Q: write the slope-intercept forms of the equations of the lines through the given points •parallel to ...

A: Given: (a) Point:(-1,0);Line:y=-3(b) Point:(2,5);Line:x=4 

Q: Problem 2: (2y cos a + sin x) dæ sin a dy when a = , y = 1

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Q: Convert the numeral to a numeral in base 12. 5794 5794-2

A: Let's find. 

Q: Evaluate the following integral: 3x sech2 (In sin(x²)) 24. 4 tan(x²)

A: Given :  Let I=∫3x sech2ln sinx24 tanx2 dx To Find: To evaluate the given integral.  

Q: Find the smallest K such that | f4) (x)| < K for 4 <x<7. Write answer in simplest form. 7 3 4 ,2

A: Let's find. 

Q: The figure below shows the graph of a function over the closed interval -25xs2. Complete parts (a) t...

A: Topic:- calculus

Q: 16) Find [2 f(x) - 3g(x) ]' = at x = 1 A) - 9 B) 11 C) - 1 D) 7 17) Find [g(x)f (x) ]'=_ at x = 3 A)...

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Q: Q1. x= [5, -3, –1, 2]" is a 4-dimensional vector. Calculate the following values: 1. the squared l2-...

A: Given 4-D vector: x=[5,-3,-1,2]T We have to find the Norms of the vector. Norm is the magnitude of t...