FB 1.1 Make two properly labeled sketches, the graph of a) a function and b) a relation that is not a func- tion. Describe in words why your sketch in b) fails to be a function.

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: This is the problem related to volume calculation using integral.please find the procedure given…

Q: Determining the Maximum and Minimum Values of Quadratic Functions A rocket is launched in the air.…

A: This question can be solved using the concept of maxima and minima

Q: 2. Find the Inverse Laplace Transform of the following: b. L-¹{2+15+13)

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Q: Find the average rate of change of the function over the given interval. f(t) = 13 + cost a. T, b.…

A: The given function is; f(t)=13+cost a) [- pi, - pi/2] b) [0,2pi].

Q: The region bounded by the curves y²= 8x and 2y = x ³ is revolved about the line y=-1. Find the…

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Q: HISU UNICAR HUN OMAGGIOI TU LARVEST, 3. Elphaba the squirrel, the notorious criminal, is planning a…

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Q: 4. G(x) = n x3.4 -5me + p 5. F(x) = ax³ bx² + cx - d 6. f(x) = (3x + 1) (2x7 - x + 2)

A: I am attaching image so that you understand each and every step.

Q: 2. A balloon is released upward from the ground at a speed of 5 m/s. When the balloon was 10 m above…

A: In such type of problem we generally use the pythagoras triangle rule . ie.x2+y2=z2

Q: Find the equation of the line tangent to the graph of f(x) = (In x)5 at x= 11.

A: Topic = Functions

Q: c) h(t): 5t e (t² + 1)^

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

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Q: = Find the equation of the curve for which y" 4x³ - 2x and which passes through the point (1, 2)…

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Q: Consider the following functions. f(x) = x², g(x) = x + 8 Find (fog)(x). Find the domain of…

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Q: Use the Law of Cosines to determine the indicated side x. (Assume a-b-40. Round your answer to one…

A: Given query is to find the value of x.

Q: Evaluate f cos³ x(sin x) dx O (sin x) [-sin² x] + C O (sin x)[-sin x] + C O(sin x)2/5 + sin x + C…

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Q: What is the final answer here. Please write the letter.

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Q: Determine the rate of change of the function g(x,y) = y²tan (x-2y +4) at point (12) in the direction…

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Q: tan 2x lim 3 X-0 X + a 2 X sin bx X = 0

A: Topic:- calculus

Q: It takes Fena Tailoring 2 hr of cutting and 4 hr of sewing to make a tiered silk organza bridal…

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Q: find the higher derivative of the following  y= (x^2  + x + 1)^2, find y''

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Q: Calculus Find the volume of the solid generated by revolving the region bounded bythe graphs of y=x,…

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Q: Find an arc length parametrization of r(t)=

A: Given, r(t)= <6t2,t3> Formula : Length of parameterization: L= ∫0t|r'(t)| dt

Q: Find the solution of the IVP Then, evaluate y(1.063). x²y" = (y')², y(1) = 0, y′(1) = −1

A: Given 1. x2y"=y'2 2. y1=0 3. y'1=-1

Q: Question 6 Given: y = (16+¹) Z -61² (16+74) 3 √16+t¹ 23 (16+) O (E) None of the choices -21² (16+¹)…

A: Solve for the dy/dt

Q: 1. Given the function y = x4-2x²: a. Determine the maximum point/s. a. (0,0) O b. (-1,-1) O c.…

A: In order to check maxima and minima we have to differentiate given function twice and check for sign…

Q: 3.) dr de + rcot (0) = r¹ sin(0)

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Q: Evaluate the integral. (Use C for the constant of integration.) [√ cos(6) sin³ (8) de

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Q: Kindly answer 6 and 7

A: Need to find out that the given differential equation is exact or not.

Q: Problem 1. Determine whether each of the following statements is true or false. If it is true,…

A: (a) The first statement is integration by parts reverse the chain rule.

Q: Do the points (4, 3, −4), (4, 1, −1), and (4, 9, −13) lie on the same line?

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Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. 1. y…

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Q: Q3. Differentiate f(x,y) = xy² + √x+y² 2 1/1

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Q: A body moving on a straight path has its location S at any time t given by equation S= t³ -9t² +15t…

A: In order to calculate average velocity during first 5 secong v=(s2-s1)/(t2-t1)

Q: Answer

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Q: S Radoptimal 5 find the limit and deternue of the functio is continous at the poult buy et…

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Q: u 2.) du + (-1/2 − u²)dt = 0 t

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: Make an ORIGINAL EXAMPLE OF "Variable Separable" A) GIVEN B) SOLUTION C) ANSWER D) WITH EXPLANATION

A: Given expression, Solve 1+x2dydx=1+y2

Q: The general solution of the Differential Equation (2x-y²)dx-2x(y²-x+y)dy=0 is -xe2Y(x+y2)=C

A: To determine whether the following statement is true or false.The general solution of the…

Q: The graphs of 2 = 8, y = g(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to…

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Q: A certain bacteria culture is known to grown at a rate proportional to the number of bacteria…

A: Given   1. after one hour 1000 strands of bacteria are seen in the culture. 2. after three hour at…

Q: Straight line whose y and x intercepts are equal

A: Here is the solution:

Q: 8. Consider the following sign diagrams relating to the graph of y = f(x) Sign diagram of f(x): +…

A: Given 1.   2.

Q: 0 = 0 zu - dx² ᎾzᏢ

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Q: Is it true that a continuous function that is never zero on an interval never changes sign on that…

A: Yes, By the intermediate value theorem , if a function changed sign, its value was zero at some…

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. x²-4 x +1…

A: (2)   y=x2-4x+1   at     the   point   (0,-4). Quotient  Rule If f(x) and g(x) are differentiable,…

Q: A business buys a computer system for $12000. The value of the system is depreciating and decreases…

A: We need to find out the value at the end of 3 years.

Q: 2. Sketch a graph of f(x) = -2(x+1) ³-6 by using a sequence of transformations of a well-known…

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

Q: Find the following derivatives. Express your answer in terms of the independent var 3x-3z 2y +3z Ws…

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Q: The weekly demand for Math Wars - The Force Multiplies video games is given by Р 420 x - 6 +4000…

A: