Find c 0 such that the area of the region enclosed by the parabolas y- x- c and y = c-a2 is 100.

Q: A. Identify if the given limit is NORMAL, OSL-RIGHT, OSL-LEFT or DNE. x-2 1. lim x-4x2-2x x+4 2. lim…

A: 1)limx→-4 x-2x2-2x x -4.1 -4.01 -4.001 -4.0001 -4 -3.9999 -3.999 -3.99 -3.9 f(x) -0.2439024…

Q: Q2) Find the integral value for the following functions (choose five only): 3x dx 1. JJ+3x2

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: 2.5 х2+3х-4

A: Given,  ∫ 5x2+3x-4dx

Q: For the following: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the…

A: We can solve this as follows:

Q: Estimate cos(π/4 - 0.1) + cosπ/4

A: Solving

Q: Find the area of the region under the graph of the following function. f(x) = 5xe−x from x = 5 to x…

A:

Q: Q2) Find the integral value for the following functions 3x 1. S 2. S(sec(4x) – 1)² dx 3. S dx V1+3x2…

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Q: For what values of x in [0, 2T does the graph of f(x) = x + 2 sin x have a horizontal tangent? List…

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Q: Is the following statement true or false? If f(x) > 0 and g(x) > 0 and f (x) > g(x) on [a, b], then…

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Q: Let f(1) = 5I + 2. Using the definition of derivative at a point, %3D a. enter the expression needed…

A:

Q: Find: 1. Sjs(x)dx

A: Given:

Q: How many terms of the series -1)" 1+2" are needed to compute the sum of the series with an error…

A:

Q: 00 (x - 3)" n n105n n=1

A: x=8

Q: 1(10,15) 2. An ant farm population is growing at a rate of g()=15e and declining at a rate of…

A: The rate of growth of an ant farm is gt=15e5t and  the rate of decline of the ant farm is dt=15e5t.

Q: Let C be the parametric curve defined by                         x(t) = t2 - 2;…

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Q: QUESTION 11 Let D (x) =x2- 12x+ 36. Find the consumer surplus at the equilibrium x=3. E $ 25 $ 12 $…

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Q: The discontinuities of the function f(x) =D 4x-9 are: x²-2x-15 Select one: O 5,3 -5, -3 -5,3 O 5,-3

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Q: Find the value of (5a² – 6)da

A: This is a problem of integration. Based on the formula and concept we will answer the question.

Q: 12. L(s? – 1) sds 13. (1² – #) dt

A: ∫xndx=xn+1n+1+C , C is a constant for any real number n.

Q: 2. a) Determine the coordinates of all point(s) on the graph of y = 2x In x where the tangent line…

A:

Q: What is the largest value of x for which the series (x – 11)" - n°5" n=1 is absolutely convergent?

A: This is a problem of series and sum calculation. Based on the formula and concept we will answer the…

Q: Determine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Please see the answer below.

Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from a = 0 to a = 1…

A: This question can be solved using the formula of arc length.

Q: xsin x dx

A:

Q: B) Find for the Implicit function: dx x² - sin(xy) + y² = 5xy

A:

Q: Select the conic section represented by the equation. x 2 - 5y 2 + 6 = 0

A: Follow the procedure given below.

Q: Find the area of the region bounded by: r = 5 – 3 sin 0

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Q: Use the alternate definition, lim Ax)-Aa) to determine the instantaneous rate of X- a change of Ax)…

A:

Q: A woman standing on a cliff is watching a motor boat through a telescope as the boat approaches the…

A: Let x be the acute angle made by the telescope with the vertical.

Q: Determine which graph corresponds to the area enclosed by the curves y = 3a and y = 2 + 2. 5- 8-…

A: Given the curves are  y=3x2 and y=x2+2.

Q: A. Solve the following problems using the concepts of Parametric Equations. Show complete solutions.…

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Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x0 sin 2x x2-16 2. lim r14 (Yx+5)-3

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Q: The population in a small fishing village on the east coast is decreasing by 7.5% per year. In 2003,…

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Q: Find the equation of the tangent line (s) to the following set of parametric equations at the given…

A: Given parametric equations of a curve.

Q: Lnx sin 2x dx

A: Use the properties of definite integral and solve the question.

Q: 1 Suppose that L is a location function of an object, given as L(t) : We 2t – 3 will compute the…

A:

Q: x³y' – y? – x²y = 0

A: We have to integrate the above expression

Q: Find the area of the region bounded by the given curve:r = 5e 2 on the interval

A:

Q: Consider the function. x - 8 f(x) x + 3 Step 1 of 2: Find all values of x that correspond to…

A: The given rational function is: f(x)=x-8x+3      =x+3-11x+3…

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: Let's find.

Q: dy Find dx of æ³ – y? = 5 by implicit - differentiation and evaluate the derivative at this point:…

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

Q: An oil tank is being drained for cleaning. After t minutes there are Vlitres of oil left in the…

A: This is application of derivative problem

Q: For each interval, choose the option that best describes the graph of f on that interval. from x=1…

A: We will use the given graph to solve this question. If the value of the function is increasing when…

Q: Determine the value of c for which 42 8n lim (1+ n00 cn

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Q: Write an equation for the function graphed below. Use the smallest powers possible to meet the…

A: To find the equation of given graph.

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. Σ…

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Q: A factory selling cell phones has a marginal cost function C(r) 0.01x represents the number of cell…

A:

Q: Select the conic section represented by the equation. 7x 2 + 7y 2 + 3x - 5y - 1 = 0 hyperbola…

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Q: Find the net signed area between the graph of the function f(r) = -x-4 and the x-axis over the…

A: To find the area between the line and x axis.