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Q: ind the first four non-zero terms of the Maclaurin series for f(x) = x²e*

A: given that f(x) =x2 e5x find the Maclaurin series of first four non zero terms.  

Q: The trigonometric function y = tan(x) has period and the following asymptotes. x = 2nn (n is an inte...

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Q: Use reference angles to evaluate sec(11π/3).   Enter the exact answers. For the number π, either cho...

A: Reference angle is the small angle with the x-axis made by the original angle.We first find a coterm...

Q: Evaluate the limit

A: Given- limx→∞x2+8x+1-x To find- The value of the limit Concept Used- the above expression can be sol...

Q: For the equation given below, evaluate y' at the point (-1,-1) e^(y) +8 -e^(-1) = 5x^(2) +3y^(2) y' ...

A: Answer and explanation is given below...

Q: Find the volume of the solid generated when the region bounded by the graph of y = - cos x and the x...

A: detailed solution is given below

Q: It's evaluating intergrals  #5, and 6 thank you

A: Hey, since there are multiple questions are posted, we will answer first question.

Q: Find the area of the region that lies inside both curves.r = 3 sin(θ), r = 3 cos(θ)

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Q: Sketching orthogonal projections Find projvu and scalvu by inspection without using formulas.

A: Consider the given sketch of orthogonal projections

Q: Calculate the derivative 24 dt using Part 2 of the Fundamental Theorem of Calculus. a va a sin (a)

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Q: Maxima and Minima:

A: Let the first number be x. Let the other number be y.   Thus, x+y=5y=5-x   The sum of the cubes of t...

Q: Solve the right triangle shown in the figure. a= 26.9, c = 51,1 A (Round to the nearest tenth as nee...

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Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (i...

A: Given :  Suppose that the weekly sales volume y (in thousands of units sold) depends on the price pe...

Q: Determine whether the series is conditionally convergent, absolutely convergent, or divergent: a. En...

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Q: 37 Find the equaton of a plane that contains the point (4, -3, –1) and is perpendicular to the plane...

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Q: Differentiate the function using logarithmic rules. g(x) = ln[x3√(x3+1)]

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Q: For the function f(x)=5 cot x, determine its stretching factor and phase shift, and then graph it fo...

A: We compare the given function f(x)=5cotx=5cot(1(x-0))+0 with g(x)=a·cot(b(x-c))+dSo, a=5, b=1, c=0, ...

Q: Find the value of the limit for the sequence given

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Q: 1) s(t) is the position of a body moving along a coordinate line, where t ≥ 0, and s(t) is measured ...

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by z = 0,...

A: Given :   The regions in the first quadrant bounded by   x = 0  , y = 1  , x = y5   To determine : T...

Q: Solve the system

A: detailed solution is given below

Q: 6. Given the graph of f(x) as shown below, correct all the statements that are FALSE. a) f has criti...

A: A critical point is a point where the function is either not differenciable or the derivative is equ...

Q: A sequence of fish-like figures is made from square tiles as shown below. The number of tiles used a...

A: The sequence can be divided as the set of square tiles and the two projections.   The square set can...

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

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Q: Find the area of the shaded region. Ax) =x+3 g(x) = -x- 3 8. イ(x) -8-7 -6 -5 -4-3-2 + ++ 3 4 5 6 7 8...

A: Given, fx = x+3  gx = -x2 -3   We have to find the area of shaded region 

Q: Complete the table by determining the balance A for P dollars invested at rate r for t years and com...

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Q: dx xVT -x? 1 x

A: We have to evaluate the integrals: ∫dxx21-x2 Let I=∫dxx21-x2 Taking x2 common from square root, I=∫d...

Q: Use basic identities to simplify cos^3 x+sin^2 x cos x.   Enclose arguments of functions in parenthe...

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Q: Determine whether the series is convergent or divergent

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Q: ind the area of the region that lies inside both curves.r = 5 + 3 sin(θ), r = 5 + 3 cos(θ)

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Q: Graph the function, not by plotting points, but by starting from the graphs in the figures below. g(...

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Q: Rewrite sin(x+π/6) in terms of sin x and cos x.   Enclose arguments of functions in parentheses. For...

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Q: 4 as a power series f(x) = 4x Σ Represent the function 1 n=0 Compute the first few coefficients of t...

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Q: Question in picture

A: Lim n--> infinity (2/n) Sum[ Sin(i/3n)]

Q: Find the inverse of the function f(x)=x²+1, x 20 Select one: O There is no inverse function O None O...

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Q: The price per barrel of crude oil in the period 1980-2013, in constant 2014 dollars, can be approxim...

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Q: Let F(x)=f(f(x)) and G(x)=(F(x))^2 and suppose that f(5)=12, f(12)=3, f'(12)=9, f'(5)=2 find F'(5) a...

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Q: Calculate  dy dx .  Simplify your answer. HINT [See Examples 1 and 2.] y = 3x+9/7x-1

A: Answer and explanation is given below...

Q: 6. dx V 49 - (x + 7)2

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Q: Evaluate the integral. (Use C for the constant of integration.)

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Q: Find the area of the sector of a circle with diameter 34 feet and an angle of 7π/4 radians.   Round ...

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Q: Calculus Question

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Q: The Maclaurin series of the function f(x) = 7 cos (6x²) can be written as f(x) = > Cn¤" n=0 where a ...

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Q: Suppose that $14,000 is invested in a savings account paying 6.9% interest per year. (a) Write the f...

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Q: y 6 5 2 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 The shaded region shown above is bounded by the two functions g...

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Q: As of January 2016, the national debt was $18.9 trillion, or 18.9x1012 dollars. At that time, the U....

A: As of January 2016, the national debt was $18.9 trillion, or 18.9x1012 dollars. At that time, the U....

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.