Find an equation of the plane. The plane through the point (1, 8, 2) and with normal vector 5i + j - k x+y=z=-8

Q: A poster consists of a printed area and margins (See image). The area of the entire poster is A = 96…

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Q: Determine which of the following tests would be best to use to determine the convergence of the…

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Q: Let f(x) = √9-x² and g(x) = x + 1. Find the following functions and their corresponding domains: f+g…

A: Given f( x ) = 9-x2g( x ) = x + 1 as we know that domain = range of x values

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Q: Consider the function f(x) = 8√x + 5 on the interval [1, 8]. Find the average or mean slope of the…

A: Givenf(x)=8x+5We are required to find the average or mean slope of the function on the interval…

Q: Consider the function f(x) = 4√√x + 6 on the interval [3, 8]. Find the average or mean slope of the…

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Q: 5 If ["f 5 1 [²1(x) f(x) dx = 9.2 and nd [* f(x) dx = 5.7, find f(x) dx.

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e-6x, n = 3

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Q: (D2 - 3D + 2)y = ex, Find Yp O a.-ex Ob.ex OC.-xex O d.xex

A: Given differential equation ( D2 -3D + 2 )y = ex

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sec³(x) tan(x) dx

A: Evaulate the indefinite integral

Q: Instruction. Determine the Intercepts and Asymptotes of the following Graphs

A: As per our guidelines we can answer only one question if multiple questions are posted. Please…

Q: 7. The distance in feet a ball has rolled after t seconds is given by the function f(t) = √t (a)…

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Q: Inverse laplace 1/(2s^2+4s+20)

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Q: 4. If f(x) = 7x - 3+ In x, then f'(1) = (A) 4 (B) 5 (C) 6 (D) 7 (E) 8

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Q: 1) Graph 1 period of y = 2 tan (+) A

A: To plot the graph of the given trigonometric equation.

Q: 5. 6. 7. dx x² + t√t2² + x² dt tx dy de dx dy 0sec(y/0) + y Ꮎ 4y - 3x 2x - y

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Q: (D3 - 2D2 - 5D + 6)y = e3x, Find Yp a. 1 O b. О с. 10 I 3x e 1 10 ∙e 3x xe 10 3x

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Q: Determine which of the following is the particular solution for the differential equation (D²- 2D+4)…

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Q: Evaluate the integral: (¹ r²₂/r3 ± 3dt

A: Given query is to find the integral.

Q: Question 7 (D³-4D²y = 5, Find Yp a. 5x² 4 O b. 5.x² 4 OC. 5.x² 12 O d. 5.x² 12 e. none

A: Ode

Q: (D³-4D²y = 5, Find Yp a. 5x² O b. 5.x² 4 Oc 5x² 12 O d. 5x² 12 e. none

A: Given differential equation ( D3 - 4D2 )y = 5

Q: 14 Approximate (²-6) dx using 4 rectangles. [6²

A: Given, ∫214x2-6dx, n=4

Q: 3. (y² - xy)dx + x²dy = 0

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Q: Find the length of the curve F(t) = (3 cos (3t), 3 sin(3t), 2t) for-9 ≤ t ≤ 5 Give your answer to…

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Q: Find the orthogonal trajectories of the family of lines 3x + 5y = C A B C D 3x 5y = k 5x 3y = k 3x +…

A: Orthogonal trajectory

Q: 7. If y = (x³ - cos x), then y' = (A) 5(x³ - cos .x)* (B) 5(3x² + sin x) (C) 5(3x² + sin x) (D)…

A: As per the guidelines we can answer only one question at a time so if you need more answers kindly…

Q: The marginal cost for a company to produce g items is given by MC(q) = 0.005q^2 - 0.7q+ 620. The…

A: Marginal cost for a company to produce q items   MC(q) = 0.005q2 - 0.7q + 620   Company's cost =…

Q: length

A: Please refer to the image below

Q: This problem involves empirical probability. The table shows the breakdown of 92 thousand single…

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Q: 1/2 S." 2 2 cos ¹(x) dx

A: ∫udv=uv-∫vdu∫0122cos-1xdx=2∫012cos-1xdx

Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x² xy lim (z,y) → (9,9) √√T √y…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Determine whether the series below is a geometric series, a p-series, an alternating series, or none…

A: According to question,Given Series,∑n=1∞ cos πn8n

Q: = converge or diverge? pply: Series Converges Diverges n=1

A: Topic:- sequence and series

Q: Use Figure 1 to evaluate the trigonometric function. Enter the exact answer. tan A = B 15 Figure 1 7

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Q: t OHaganBooks.com, the rate of net sales (sales minus returns) of The Secret Loves of John O, a…

A: Given rate of net sales = n( t ) n( t ) = 198 + t2 − 0.14t5

Q: If f(x) f'(x) = = x2 - 3 - t² dt then

A: ∫xndx=xn+1n+1+cdxndx=nxn-1dconstantdx=0

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: Use differentiation to find the horizontal tangent line.

Q: 12. In(x + In(x + 4) dx

A: We are required to find the value of ∫ln(x+4)dx   We are also required to check by differentiation…

Q: What is the sum of the measures of angles 1, 3, and 6? line g || line h 12 ૧૩ 5 6 7 54⁰ [image not…

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Q: (D3 - 5D2 +8D-4)y = e2x, Find Y = Yc - Yp 1 =-=-=x² ₁²x 2_2x 2 a. C. C₁ et + C₂e O d. 2x b. C₁e² +…

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Q: Find the equation of the straight line thru (2,-3,7) parallel to the z-axis the straight line thru…

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Q: Find the consumers' surplus at a price level of p = $150 for the price-demand equation below.…

A: Given price demand function D( x ) = 300 - 0.04x as we know that consumer surplus = 12Qmarket(…

Q: 62. 63. -3m -म y Af 3m 5m X

A: We know y=AsinBx-C+D⇒A=Amplitude ⇒C=Phase shift ⇒D=Vertical shift ⇒Time period T=2πB

Q: A certain bacteria culture is observed that the rate of growth of the population P at any time t is…

A: Given that rate growth of the population P at any time t is inversely proportional to square of the…

Q: = Find the area of the region enclosed by y x = 3.5 - y². 1 1 2 3 and 3.5x and Use horizontal strips…

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Q: 6.2 7.2 6.8 5.6 5.0 4.8 4.8

A: Given pool, The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter…

Q: (D3-5D2+8D-4)y= 2x, Find Y = Yc - Yp 1 a. O b. c+ciải tế giớ OC 12²³x²= + 12²x²5+ [²³²] + x³²50 -2x…

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Q: A particle is moving with acceleration a(t) = 18t + 6. its position at time t = 0 is s(0) 15 and its…

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

Q: Rewrite sin (a x + 11T 7) in terms of sina and cos x. Simplify your answer. 6 Enclose arguments of…

A: As we know that; The trigonometric identities: 1). sina+b=sinacosb+cosasinb 2). sinπ2-x=cosx 3).…

Q: 3) Write and simplify an expression for the area of the figure. All angles are right angles 4√3…

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