Sketch the graph of each function and find the area between the graphs of f(x) = x² +3 and g(x) = 2 for x in the interval [1, 2]. N

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Q: eu (1-eu)² - du 2

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A: To evaluate the area bounded by the parabola  and the line .

Q: then a 7 d 41 det b 7 e = с 7 f det a b C -4 d -7 -10 e = and 41-41 a det b с d a d e = 3, and det b…

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Q: 11 If f(1) = 10 and f'(x) > 2 for 1 < x <4 how small can f(4) possibly be? (Show your work)

A: If  and , then to determine the smallest possible value of .

Q: Find the gradient vector field of f(x, y) = ln(6x + 4y)

A: The function is given by: -

Q: Evaluate the following transforms L following inverse Le place T 5² +5

A: Formula

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A: The graph of g(x) passes through the following points:(−2, 0),(−1.5, 1),(−1, 1.5), (−0.5, 1), (0,0),…

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Q: Find the minimum value of the function f(0) = 20 - 3 sin on the interval [0, π] O 2π None of these 2…

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Q: a) b) Using the series expansion of In(1+x) find a series expansion for up to terms in x³. In 1-2x…

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Q: Use the given graph to find the largest value of 8 >0 such that for all x, f(x) - L<e whenever…

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Q: # + sin z CoS z dr.

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Q: n=1 n (-1)" 4n+2

A: The given series is

Q: Consider f(x)=√4x +3. • Use sqrt for the square root. a. Compute: f(a) = b. Compute and simplify: c.…

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Q: Given the function: m(z) = −3√√√zª +6√√/z² Calculate the slope of the tangent line of m at z = 6 -

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Q: the answer that is provided is not correct all of them except number 1. Can you please try to do it…

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Q: Suppose the demand for a certain item is given by D(p)= -3p²-7p+800, where p represents the price of…

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Q: Find the first partial derivatives of the function. fy || = f(x, y) = 6y

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Q: Find the area of the region. two petals of r = 10 sin(30)

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Q: + f(x) = ft7 d t then Use '^' to enter exponent for example, x^2 for X² Enter an integer or a…

A: NOTE: Refresh your page if you can't see any equations..The given function is,Take derivative

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A: The given series .The aim is to check the convergence of the series.

Q: (a) Find a vector parametric equation for the part of the saddle z = xy inside the cylinder x² + y²…

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Q: Find the most general antiderivative or indefinite integral. f(s sin 6x-sec²x) dx Sc sin 6x-sec²x)…

A: Formula for the integration

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A: The position vector is given byTo determine: The value of .

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Q: Evaluate p4 sin(x) ln(1+x²)) SA 4 ex dx

A: Evaluate ∫44sin⁡(x)ln⁡(1+x2))exdx

Q: password hints. The computer displays the below information: Password Hints: f f(z) dz=8 -5 6 Jg(z)…

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Q: Find the value of the Riemann sum Σk-1 f(ck) Vk for the function f(x) = x² + 2 using the partition…

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)"…

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Q: Sketch the curve represented by the parametric equations. (Indicate the orientation of the curve.…

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Q: (5) Let F² = (yz, x² + 3y ², xy + 22). F' is a conservative vector field You do NOT need to check…

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Q: Find the sum of the convergent series by using a well-known function. 47 Σ (−1)n + 1. 7"n n = 1

A: ∑n=1∞(−1)n+14n7nn

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Q: Calculate: lim Answer: X-3 x+3+ x²-9.x+14 Check

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A: given limits to find (a)