Estimate the area under the graph of  f(x) = 5 cos(x)  from  x = 0  to  x =  ? 2  using four approximating rectangles and right endpoints.

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Q: Consider the infinite series k=1 1 k + 3 Evaluate the first four terms of the sequence of partial…

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Q: Let Find the absolute maximum value of f. The absolute maximum value of fis = f(x) = (e ln x) 5 x5/9

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Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

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Q: 1. Find for the following by implicit differentiation: dy dx 18x9-5 cot y = y² - 18x

A: Given:  1) 18x9-5cot y=y9-18x Implicit differentiation:    Differentiating on both sides…

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A: The given integral is: I=∫3-e3x3dx   As we know the Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And use the…

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Q: M8 n=0 -7 n+1 Does the series converge or diverge? Why or why not? OA. The series converges. This is…

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Q: We suggest you use technology. Graph the region corresponding to the inequalities. 2.3x  −  2.4y  ≤…

A: We have to find the coordinates of all corners points

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Q: 4. Show steps and find -9x²-9x-4 x³ - x 3 √⁹x² - dx. 3

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Q: A particle moves along the x-axis with acceleration given by a(t) = 27 sin (πt) for time t≥ 0. If…

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Q: World consumption of a certain metal is running at the rate of 322e0.02t thousand metric tons per…

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Q: 1) Given that csc A each of the following: a) sec B b) cos (A + B) c) sin 2A and cot B = where - <A…

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Q: Find the maximum and minimum values of the function g(0) = 30 - 6 sin(0) on the interval [0, 1] 2…

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Q: Consider the function f(x) = 4x² - 6x + 5, 0≤ x ≤ 6. The absolute maximum of f(x) (on the given…

A: We need to find absolute max and min.

Q: (3x²2xy + 3y2) dx = 4xy dy ○ (y-x)³(y + 3x) = Cx³ ○ (y + 3x) ³ (y− x) = Cx³ ○ (y - 3x) ³ (y + x) =…

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Q: 11. Evaluate 9-y² LS [[V²=2³² (x² + y²) ² dx dy -3 0

A: We need to evaluate the double integral given by :

Q: Solve the equation on the interval [0, 2x). Write numbers as integers or simplified fractions and…

A: Given equation:- 2csc2x-5cscx+2=0

Q: Evaluate the line integral F. dr where (-3 sin x, -5 cos y, 5xz) and C is the path given F by r(t) =…

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Q: The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s)

A: Given: From the above graph, we can observe that the function is increasing in the interval (-1,…

Q: The area of the surface obtained by rotating the portion of the curve y = e27 where -29 < x < -23…

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Q: Rewrite the expression as a sum or difference, then simplify if possible. 10 sin(7x) cos(6x) =…

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Q: x²(x-2) X+6 Answer the following questions about the function whose derivative is f'(x) = a. What…

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Q: 3) Transform x² +y²-2x+y-2=0 from rectangular to polar

A: The given equation is; x2+y2-2x+y-2=0

Q: Solve the triangle. For the sides, give an expression for the exact value of the length in terms of…

A: using sin law in triangle ABCsinAA=sinBb=sinCcA+B+C=180°16.9°+B+95.1°=180°

Q: Find the midpoint of the line segment joining the points P1 and P2;P1 = ( - 1, 4); P2 = (8, 0)

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Q: Let A(x) = 4 3 2 1 y f(t) dt for f(x) in the following figure. y = f(x) 1 2 3 4 Calculate A(0.5),…

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Q: Find the minimum and maximum of A over a particular interval [0 X = [²₁ The graph of y = f (x) is…

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Q: Question 9 Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using…

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Q: feasible region is empty or the objective function is unbounded. (Enter EMPTY if the region is…

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Q: Question 8 Find the differential dy: y = In (sec² (3²-2+5)). O dy = 2 (2-1) In (3) tan (32²-²2+5) da…

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Q: The function f(x) 2x³ – 27x² + 84x + 3 has one local minimum and one local maximum. Use a graph of…

A: The given function fx=2x3-27x2+84x+3. We have to find the local maximum and local minimum values of…

Q: Since u = x³ + 28, then converting back to an expression in x we get the following. 2 + C X

A: we need to write the expression in terms of x.

Q: A real estate investment, originally worth $7000, grows continuously at the rate of 600e0.04t…

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Q: Show complete solution.

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Q: 3) Suppose I want to use a "u" substitution to find sec² (9x + 4)dx. What should I choose for u? O…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Mary invested in an account that grows 2.25% interest every month. If she invested Php 15,000 this…

A: Given grows 2.25% interest every month. r = 2.25% = 0.025 P = Php 15000 y = Php 20000

Q: I can't read the answer can you type it

A: To evaluate the integral

Q: Show that the substitution u = x¹ reduces correct Table Entry and finish the problem. I 12x¹¹dx x³…

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Q: find the gradient of the tangent to f(x) = -x^2+4x-2 at (-3,-23)

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Q: Use a definite integral to find the area under the curve between the given x-values. 1 f(x) = from x…

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Q: Let r(t) = ·( 20 ²21 ²2² ² ) =

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Q: Q7: Can you solve this question with showing your work clearly please write clearly so I can see…

A: As per our guideline we are allowed to answer only three subparts of the given problem. Kindly…

Q: A rectangle has a length that is increasing at a rate of 11 mm per second with the width being held…

A: this is the question of application of differentiation  here area of rectangle is given we have to…

Q: (a) For each of the following improper integrals, evaluate the integral or show that the integral…

A: The given integral is 4/sqrt(x+3)3, limit from -3 to 0.

Q: Obtain the equation of f(t) ? y(t) taking into account the following differential equations: y'' -…

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Q: Problem and Computation Problem No. 1: In 2015, there were 233,040 Individuals living in Olongapo…

A: Let present number of people=x⇒dxdt=Rate of Expansion in number of people

Q: Given g(x) = 3x57x4+2, find the x-coordinates of all local minima. If there are multiple values,…

A: We will use critical values to find minima.

Q: What is the difference between the maximum and minimum of the quantity numbers such that x + y = 10?…

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