9-10 Use the Midpoint Rule with n = 4 to approximate the integral. tare ople setugmos B 8 • f₁x² dx 9. (E) 10. (8x + 3) dx

Q: 2. Verify: (sinx+cos x)² = 2 − (sin x − cos x)² -

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…

Q: Find the average value fave of the function f on the given interval. f(0) = 5 sec²(0/4), [0, π] fave

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Q: If x>1, pick the expression below which always decreases as x increases 1 x==²=22 X a) x.

A: Given : x > 1    in only option C , x is in denominator . Therefore as x increases , 1/(x+1)…

Q: A graphing calculator is recommended. Sketch the region enclosed by the given curves. y=4-x², y = 0…

A: To sketch the region enclosed by the given curves.y=4-x2, y=0To calculate its area.

Q: Find d²y dx2 if y= = x sec(x)

A:

Q: 3. Find the inverse function f-¹(x) of f(x)=3 sin 2x

A: The given function is: fx=3sin2x   To calculate the inverse function of the given function…

Q: (a) Evaluate the following integrals: [ x² sin(x³ + 3) da x²e²x dx i. ii. iii. csc csc² 3x cot 3x dx

A: Note : According to the rules I need to solve (a) with 3 sub parts.

Q: Sketch the graph of the ellipse: x² = 4 - 2y². Label the vertices and foci on the graph.

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Q: An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each…

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Q: 2. Find the tangent line at the given point c(t) = (4t, In (t)); t = 1

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Q: Integrate the indefinite integral. Se-2 da

A: ∫eaxdx=eaxa+c

Q: If f' changes signs from negative to positive around a critical number c, then what happens? Of has…

A: given f' changes signs from negative to positive around a critical number c

Q: Write the first four terms of the sequence whose general term is given below. an = n (n-1)! a₁ =…

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Q: The acceleration (in m/s²) of a particle moving along a line at time t (in seconds) is given by -2t…

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Q: Use the properties of natural logarithms to simplify the function. f(x)=ln(x/6)+ln(6)

A: SOLUTION-

Q: A. Consider the function f(x) = x4 - 3x² - 6x² (a)Determine the domain of f(x) (b) Find the…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Givin that f(x) = 2x²-5X-3 find all values of x for which fix) = 9

A: Solve as general

Q: Given the following table of values for f(x): 1 2 34567 f(2)= -9-9-65998 evaluate the Riemann sum…

A: Given the following table of values for fx:  x 1 2 3 4 5 6 7 f(x) -9 -9 -6 5 9 9 8 To…

Q: Graph the curve and find the area that it encloses. r = 2+2cos0

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Q: 7. Convert from Polar to a Rectangular Equation: r → f(x). πT 4 0

A:

Q: Given the sequence an This sequence is bounded This sequence is monotonic This sequence diverges sin…

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Q: Question 2. Find the volume of the solid obtained by rotating the region bounded by 9x² + 4y² = 36…

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Q: Determine the area of the region bounded by y = Area = 1 and y = X on the interval [1,10].

A: To find the area bounded by the given curves.

Q: 16. Calculate the area of the region bounded by y = sin x on the interval [0,²].

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  and the given…

Q: Given f(x, y) = sin(x + y) where x = : s¹tº, y = 4s – 6t. Find f(x(s, t), y(s, t)) = ft(x(s, t),…

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Q: Consider the function ƒ(x) = 8(x − 4)²/³. 2/3 For this function there are two important intervals:…

A: Criticle point

Q: Evaluate each of the following integrals 2. √2x²-x+4 dx S x(x²+4)

A: Given integral ∫2x2 - x + 4x ( x2 + 4)dx

Q: Find the derivative. 8 1 sin x cot x 12) y =

A:

Q: dt, then F'(x) = 0 a) If F(x) = √5 / / di 20 3 b) If F(x) = ² = dt, then F'(x) = c) If F(x) = √²/1/1…

A: Given:   a) Fx=∫20x1tdt      we use common integral ∫1tdt=lnt          =lnt20x          Fx=lnx-ln20…

Q: 4. The height of a triangular fin emerging from the ocean increases at 5 in/s as the length of its…

A:

Q: ), find

A:

Q: Evaluate each of the following integrals 1. S dx x√√x²+4

A: Please see the below picture for detailed solution.

Q: 10- There is a rectangular playing field in Alaska Denali Park for a grizzly Bear with an area of…

A: NOTE: Refresh your page if you can't see any equations. .

Q: f(sin (6x))³ dx

A: According to our guidelines, we can answer only one question or the first three subparts of a…

Q: Determine the general/particular solution (whichever applies): y'-6y"-3-cos(x) 2 y=c₁+₂x+cze…

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Q: 11. Find the arc length of the polar curve r = 5 cos 0; 0≤0 ≤ 2.

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Q: Evaluate each of the following integrals 5. 2 dx x-1 2

A: (5) Evaluate ∫122dxx-1=?

Q: 36 identical tasks are distributed to 9 different people. Each task is assigned to exactly one…

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Q: Evaluate the integral. √3 √1/√31 8 + x² dx

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Q: Evaluate each of the following. Explain and show your work. 2dt) -tin(t+1) tan(t)

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Q: Write the equation of the circle with the following properties in standard form and in general form.…

A: Given center = ( 2 , 4 ) radius = 9

Q: Find the derivative. 10) y = 8x-2-9x3 + 2x

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Q: 7x+2 8- Find S dx (Using substitution method). √7x-3

A: Here we have to find the given integral by using substitution method.

Q: Find the volume of the solid obtained by rotating the region bounded by y = 4x2 , x = 1 and y = 0,…

A: We have to find the volume of the obtained region about X axis.

Q: Evaluate the definite integrals using the graph of f (x) below. 6- (a) (b) (c) f(a) da = Number [° ƒ…

A: To evaluate the value of definite integral using graph of f(x).

Q: Evaluate ff (¹-2y) d.A where D = {(x, y) = R²| -1 ≤ x ≤ 2 and − x² ≤ y ≤ x²}. D

A: Let's solve given double integral.

Q: Given the following table of values for f(x): x = f(x) = Riemann Sum= 4 5 6 7 1 2 3 -7 -4 -9 -8 2 7…

A: Riemann sum

Q: To find the absolute max and min of f on [a,b], we compare the values of f' at the critical numbers…

A: Please see the below answer.

Q: A. An inverted tank in the form of a cone is 20 in. across the top and 35 in. deep. Water is flowing…

A: We have to find the rate of surface rising.   According to our guidelines we can solve only one…

Q: If the function f(x) has the graph pictured below, then: a) f(x) 0, whenever 5 f(5) e) f(6) > f(8)

A: Given: Graph of function f(x) -