Find an equation for the line that passes through the given point and satisfies the given conditions. P = (-6,-6); perpendicular to y = -5i+3j

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A: Area under a curve can be determined by the definite integral of the curve with the limit of region

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A: Given: y=-2x2+3x+3   As we know that: To calculate the x-intercept, we need to solve for x after…

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Q: lim x →0 e - 1 sin (7x)

A: According to question,Given limit,limx→0ex-1sin 7x

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Q: 6x²-3x² +9x-5 2 3x² dx

A: ∫6x3-3x2+9x-53x2dx=13·∫6x3-3x2+9x-5x2dx=13·∫ 6x-3+9x-5x2dx=13∫ 6xdx-∫…

Q: Find Sn for the given arithmetic series. a₁ = -40, d = -7, n = 22

A: Formula for Sn is  Sn = (n/2)(2a+(n-1)d)

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Q: 7. Find 5²90 g(x) dx given: [₁² f(x) dx = 4 fºs f(x) dx = 6 [²9(x) dx = 2 [² (f(x) + g(x)) dx = 5

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Q: The units for f(x) are feet per minute (ft/min) and the units of x are feet (ft). What are the units…

A: The unit for f(x) is:  ft/minUnit of x is:  ft

Q: Find the quotient of polynomial expression using long method and synthetic division. 2. (3x4 + 5x³ -…

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Q: Find the critical points, domain endpoints, and local extreme values for the function. y=x4/5 (x+2)…

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Q: Find f. f(t) = f'(t) sec(t) (sec(t) + tan(t)), -2-√2 x Need Help? Read It Watch It - 1/2 < t < 1/₁ (…

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Q: Find a function whose graph has the asymptotes x = 4, x=8, and y = 2. f(x) = f(x) = f(x) = f(x) =…

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Q: Suppose that f(x, y) = 9z+7y and the region D is given by {(x, y) | − 2 ≤ x ≤ 5, −2 ≤ y ≤5}. Then…

A: As we know the Power rule: ∫xndx=xn+1n+1+C   From the given region; The limit of y varies from y=-2…

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Q: By treating as an improper integral, evaluate namely by considering the limit and using l'Hôpital's…

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Q: get

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Q: Find the sum 8 n=0 4.5-5.4" 67

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Q: 6. Using properties of definite integrals: Given the following, ff(x) dx = 8 and ₁³ f(x) dx = -1,…

A: Given:    ∫16fxdx=8     ∫13fxdx=-1 Using property:         ∫abfxdx=-∫bafxdx    ∫61fxdx=-8…

Q: 5. If cos(x) following. Include the reference triangle. and x is in quadrant 4, find simplified…

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Q: Consider the following integral. +5 4 dx Given the substitution u = x64, find du. du = 6x5 X Rewrite…

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Q: Find an equation of the tangent line to the graph of y=e^-x^2 at the point (5,1/e^25

A: y=e-x2

Q: 10 Consider the function f(x) 6x¹0 + 4x5 7x² - 6. Enter an antiderivative of f(x). Do not enter + c…

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Q: 2. Find the missing angles labelled in each of these circles. b. a. B BỘ 80+2 90-y O 2x+4) C. O 120m…

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Q: he area formed in the first quadrant by the graphs of y = x² and y = 8 - x²

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Q: =y=4, x=2, and x = 4 is revolved In the figure below, set-up the integral expression when the area…

A: y=1x,y=4,x=2 and x=4.To Find: Integral expression when the area bound by the functions is revolved…

Q: 11 [ f(x) dx = 8 and f(a)da 94 at g(x)dx= 10 and [ 94 h(x) dx = 23,

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Q: If 1200 cm² of material is available to make a box wit a square base and an open top, find the…

A: According to question,Given data,Surface area = 1200 cm2

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

A: To find the area of the shaded region

Q: If a rock is dropped from a height of 262 ft, its poistion t seconds after it is dropped until it…

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Q: tence or two what is wrong with the follo Let~ be a relation on a set S. If ~is reflexive. ~ is…

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Q: x = 10u 8v, y = (5u+ 8v) implies a(x, y) d(u, v) =

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Solve the matrix equation AX = B for X. A= X= 11 42 B= 23 7 8

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Q: Let x be the number of stereos sold with installation and y be the number sold without installation.…

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Q: {21} s² +4 9-1 3 (28+5)³ 2} ₁-55

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Q: $5 price, supply 850, demand 1000 $17 price, supply 970, demand 760 x is price y is amount find the…

A: Given:  Sr. No (i) Price (xi) (in $) Supply (ys,i) Demand(yd,i) 1 5 850 1000 2 17 970 760…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the semicircle defined…

A: Here we use derivatives to find the maximum area in semi-circles in first and second quadrant.

Q: Use a convergence test of your choice to determine whether the following series converges or…

A: Given query is to find series converges or diverges.

Q: Suppose you throw launch a ball into the air, and its height is given by the function h(t)=-4.9t2 +…

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Q: Determine the x-intercepts of the function g(x) = 2cos(2x) - 1 on the interval [0, 2]. 01 я 5л 6'6 л…

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Q: A trough filled with a liquid that weighs 300 lb/ft³ is 10 ft long and its cross-section is in the…

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Q: Consider the function f(x) = = 8 x² 10 190/2 5 x6 Let F(x) be the antiderivative of f(x) with F(1) =…

A: Topic = Integration

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A: Given :vt=lnt2+1

Q: Find the Taylor polynomial T3(x) for the function f centered at the number a. f(x) = xe-5x, a =…

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Q: 4. f(6e* - 3sinx + 2sec²x) dx.

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