Use a system of linear equations with two variables and two equations to solve.   287 students enrolled in a freshman-level chemistry class. By the end of the semester, 6 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.   Passing Students:      Failing Students:

Q: Find the equation of the tangent and normal line to the following curves at an indicated points:

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: 13 dk

A: Given :      ∫e73k-13   dk

Q: 6y" + y' - y = 0 is yı =e*³. Use the method of reduction of order to find a second linearly independ...

A: Topic:- Solution of differential equations

Q: 구 -8 -6 -5 -4 -3 4 6 -2 -4 -6 -7 -8- lim f(x) = Enter the limit. If the limit is o, enter oo. If the...

A: We have to find limit.  

Q: Integration. Evaluate the following

A: Given that: 1. ∫x2x3+7x-5x+10dx2. ∫y2+6y-3dy

Q: Solve in linear equation or bernoulli (2x+3)y'= y+y²(2x+3)^½

A: 2x+3dydx =y+y22x+312

Q: 9. S ze4z²dz 422

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Q: At what points is the following function continuous? 6x tan 3x y = x2 +2

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Q: Example 1: A particle is moves along a coordinate axis in the positive direction to the right. Its p...

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Q: y² cos x - 3x3y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e x² - 1) dy = ((1 + x)2 - ...

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Q: Find the equations of the tangent line and normal line to the given curve at the specified point. y ...

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Q: In Exercises 35-46, find the intervals on which f is concave up or down, the points of inflection, t...

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Q: Differentiate y = 21/2 4 - x (4 – x³)'"2 -

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Q: A triangular lot, where all its three sides have the same length, is to contain a triangular buildin...

A: The figure is shown below: △ABC represents triangular lot.△DEF represents traingular building

Q: If * = 2 tan(0), then a. cos(0) Vx2 + 2 Ob. cos(x) = Vx2 + 4 c. sin(8) = Vx2 +4 O d. cot(0) 2 е. sin...

A:

Q: nsw

A: [16+(-4)](-4)

Q: If a = [5,-2, 4], b [0, 2, -3], and c = [1, -2,1], find a xb.c -22 38 O(-2, –30, 10] 0.

A:

Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s) w...

A: Given :xy-2x-8=0x=2

Q: 4. Find all the first partial derivatives of the following functions with respect to each variable. ...

A: For partial derivative, we only differentiate with respect to one variable keeping other variables a...

Q: Perform the indicated operation without the use of a calculator and express each answer in decimal n...

A: Topic = Algebra correct option = C

Q: A minute hand on a clock is 5 inches long. Determine how far the tip of the minute hand travels betw...

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Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y -xy +6=0,...

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Q: Let f(x) = x' cos ( x-) and calculate ed S(x) dx by using integration by substitution. What was your...

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Q: Evaluate the integral. Show all your work. sin? x cos' xdx

A: ∫ sin2xcos3xdx

Q: 구 6 -4 -8 -7 -6 -4 -3 -2 2 3 6. -2 -3- -4 -5- -6 -7- -8+ lim f(x) = x→ - 3+ Enter the limit. If the ...

A: Topic:-  limits   

Q: Use implicit differentiation to find y' and then evaluate y' at (3,0). 9 ey =x? - y? y' = y' (3,0) =...

A: Let's find. 

Q: (у?- бу+1) dу y-3

A: ∫un du=un+1n+1+C

Q: 9-36 Evaluate the integral. So 36 - 9. x'V16 + x?;dx 10. dx V9 6, Vx² 1 dx 13 - dx 36 - х2 11. 12. d...

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Q: Can you please help with the assignment questions. Thank you

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Q: Find the curvature of y = cos x at the point (,). Then find the equation of the osculating circle at...

A: To find: The curvature y=cosx at the point π4,22 also find the equation of the oscillating circle at...

Q: Use the appropriate reciprocal identity to find the exact value of sec 0 for the given value of cos ...

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

Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: Ek=1(-1)k-1_7 9k-1 Determine whether the series converges and if so, find its sum. O 1/2 63/8 63/10 ...

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Q: Find an equation of the surface of revolution generated by revolving the plane curve about the indic...

A: Given equation: x2=4y    which has to be revolved about the y-axis.  

Q: Find x' for x(t) defined implicitly by x +tx+t° - 4 = 0 and then evaluate x' at the point (-2,-6). x...

A: We have to find the value of x' at point (-2, -6) 

Q: me pung Find ow and dw for fihe folloing fune W=メboi (xャロ) %3D メ+リ

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Q: 6. A water tank is shaped like a cone with the apex point at the bottom, where the cone has radius 5...

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Q: Find the initial velocity such that the particle will have the same position at t-4s a. and t- Os. b...

A: Follow the procedure given. 

Q: f[x'+zy2,y²2x2], then prove that [y?-zx] (a?-yz] dy [z-xy] du -o. If

A:

Q: sin 2x (12-In? | tan(x)|

A: given integral ∫4sin(2x){12-(ln|tanx|)2}

Q: 10) Find lim [ g (x-2) / f(x) ] = _ A) 3/ 7 B) 1 C) 7 D) 7/ 3 lim g(8x-f(x+2)) = X 1 11) Find A) 1 B...

A: We have to find the value of the limit                                  limx→3g(x-2)/f(x)       and ...

Q: -dx x´ +2x+3

A: The given integral,       ∫xx2+2x+3dx

Q: Determine the sum of the measures of the interior angles of the indicated polygon. Octagon The sum o...

A: topic- polygons and angles

Q: Assume cos(t) = - where <t <a. Compute the following %3D cos(-t) = sin(t) = sin(-t) =U sin(-t) + cos...

A: topic - trigonometric ratios sin(-x)=-sin(x) cos(-x)=cos(x) sin2(x)+cox2(x)=1

Q: Of all the points on the graph of z = 10 - x^2 - y^2 that lie above the plane x + 2y + 3z = 0, what ...

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Q: Find the six trigonometric function values of the specified angle. 24

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Q: Show your complete solution.

A: Given that: 1. f(x)=3x2+2x2. f(x)=1x3. f(x)=8x-2

Q: 1. Refer to the hexagon pattern below. ASsume that each edge of the hexagon measures 1 cm. Assume th...

A: H(n) be the function describing  the perimeter as a function of the shape number.

Q: Suppose: sin(x) = -0.1 cos(y) = 0.5 tan(z) = -4.3 Then, sin(-r) =| 0.1 cos(-y) = 0.5 tan(-2) = 4.3 a...

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Q: Calculate the improper integral if it converges, or show that it diverges. 1 dx -

A: