Give a solved problem on area under a curves. Show complete solution and drawing.

Q: Given the triangle below, find sec(0). Enter your answer as a ratio of sides. Provide your answer…

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Q: 11) Prove cos+x -sinfx = cos 2x

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Q: ( solve the following system using the Inverse Matrix method of Assignment 24. Clearly show the…

A: Given: This can also be written as the following. 1353-21223xyz=495 Now,…

Q: Evaluate the integral √x³√x² +9dx. 3 2 [x²+√x² +9dx= .3 2

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Q: (b) The polar equation r sin² 0 = 2 cos 0, 0 <0 ≤ 7/2 and the parametric equations -∞ < t < ∞…

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Q: Given the graph of f(x) and the labeled areas, 10 find 10 0 f 0 f(x)dx f(x) dx = 0 A=10 6 B=7 10 C-6…

A: The objective of the question is evaluate the definite integral.

Q: Determine the following using the graph off provided below. If the value is infinite, specify oo or…

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros: 9;…

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Q: Question 1 Given that ln(5xz2 - 4) + 2yz = 4, calculate дz Əz and Əx dy where x = 1, y = 2, and z =…

A: Given that ( 5xz2 - 4 ) + 2yz = 4

Q: A company's revenue for selling x (thousand) items is given by R(x)= Find the value of x that…

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Q: Use l'Hôpital's lim X-0 Rule to find the following limit. 2 sin (x) - 2x 3 5x

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Q: 5. Consider the graph of f'(x), the derivative of y = f(x), defined on the domain -9 < x < 9, as…

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Q: Suppose that you are headed toward a plateau 40 m high. If the angle of elevation to the top of the…

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Q: question 15 please show all work  You invest $1500. If the account grows by 71 dollars per year, how…

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Q: Compute the volume of the solid formed by revolving the region bounded by y = 11-x, y = 0 and x = 0…

A: Region bounded by  y= 11-x, y=0, x= 0 and revolved about x-axis

Q: Consider the function f(x) = 3x · h(x) where h (2) = 4 and h' (2) = -3. Fill in each blank: Then…

A: We know that equation of tangent line at any point is given as - ( y - y1 ) = m.( x - x1 )   Here m…

Q: f(x+h)-f(x) 13) Let f(x) = x². Find and simplify h

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Q: Evaluate the definite integral. e² dr

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Q: question 23 please show all work  Find the total area between the graph of f(x) =×^2 - 6 and the…

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Q: Compute the limit lim 3 2+3x²+1 If the limit does not exist, type DNE.

A: let  I=limx→3(x-3x2+1)for finding limit put x=3

Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket…

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Q: Textbook If f(x) = 3 sec (5x), find f'(x). Find f'(4). Question Help: Video Videos [+] Submit…

A: The given function is; f(x)=3 sec(5x).

Q: Obtain the general solution. (HOMOGENOUS EQUATION) 1. 2(2x² + y²)dx - xydy

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Q: Find an angle that is coterminal with an angle measuring -125°, where 0° < 0 < 360°. Do not include…

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Q: Write the equation of a sine function that has the following characteristics. 1 8 Amplitude: 8…

A: standartd form of equation is y=Asin(Bx+c)where A is amplitudeperiod=2πBphase shift=-CB

Q: y₁ + y = 2 y(0) = 3

A: Given that the differential equation is       y' + y = 2 ,     y(0) = 3

Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.006² +0.4t, where…

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Q: Write an equation for the parabola shown to the right. The equation of the parabola is. (Use…

A: To write the equation for the given parabola.

Q: 2 1 0 -1 1 -1 0 0 5 2m In ST

A: Given query is to find the graph of the function.

Q: Evaluate the integral S 2 sin¯1(x/4)) ² dx √16-x²

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Q: rue or false. he integral True False f(a)de gives the area of the shaded portion shown. 3 -1 y =…

A: Given query is to find the statment is true or false.

Q: 1. The indefinite integral sin cos de can be evaluated in multiple ways: (a) Evaluate the integral…

A: As per guidelines,  I can answer maximum three subparts of a question, Since there are four…

Q: Type oo for oo and -oo for-co. Also type U for U. YA 2+ (1.5,2) 1+ (-0.7,0.2) 0.5+ -1.51 -0.5 0…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the area of the shaded region. Round your answer to one decimal place. 0.5 O -0.5 1 -15 A 1.4…

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Q: 4. xydx + 2(x² + 2y²)dy = 0, when x = 0 and y = 1

A: given homogenous D.E:-xydx+2(x2+2y2)dy=0   when x =0  then y =1so  dxdy =…

Q: The function f is graphed below. State the values that fulfill the following requirements. If there…

A: Please see the below picture for detailed solution.

Q: What is the sequence of 1,3,7,15,31

A: Given query is to find the sequence.

Q: For the following geometric sequence, find the common ratio, r, and then write an expression for the…

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Q: Textbook The limit below represents the derivative of some function f(x) at some number a.…

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Q: Find the area of the region between the curve y Give the exact value of the area, do not convert it…

A: formula for area is  A=∫abydxy=3x∫1xdx=lnx+c

Q: If f(x) = (x² + 5x + 5)², then f'(x) = f'(1) = Question Help: Video Submit Question Jump to Answer

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Q: What can be concluded when integral test is applied to the following series? 8 Σ n=8 1 (n-7)² None…

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Q: Which of the following functions cannot use the Second Derivative Test to determine if x = 3 is the…

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Q: Find the slope of the tangent line to the curve 2 - 4x² + xy - 3y³ = - 2 at the point (1, -1).…

A: Given query is to find the slope of the tangent line.

Q: 4) Find the exact solutions to the following equation in the interval [0,2n): sin 4x = cos 2x.

A: here given equation  sin4x = cos 2x   . . . . ..   (1) using formula sin2x=2(sinx)(cosx) now…

Q: 2x²-5x-3 x-²-4 1) Graph the rational function: ƒ(x) = : vertical and horizontal asymptotes. Find the…

A: To solve the following problem and plot the graph with all the details about the function

Q: If f(x) = f'(x) = 7-2² 8 + x² " > Next Question find:

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Q: What are the zeros of f(x) = 4 sin ²x - 2 on the interval [0,2+]? The zeros are (Type an exact…

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Q: The graph to the right is a complete graph, that is, it is continuous and displays the function's…

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Q: 5. Consider the graph of f'(x), the derivative of y = f(x), defined on the domain -9 < x < 9, as…

A: Since you have posted multipart question i can do first three subparts as per our company guidelines…