Find lim x→∞ h(x), if it exists. f(x) = 9x2 + 2x + 7   (a)     h(x) =  f(x) x lim x→∞ h(x) =

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Q: Since January 1, 1960, the population of Slim Chance has been described by the formula P=37000(0.93)...

A: The objective is to find the rate at which the population changing on January 1, 1991.

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Q: Give the coordinates of the vertex to the right of the center in the equation: (x- 3)2 (y-1)² =1. 9....

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Q: sin(Tx lim x + 12 In(x – 11) - (Use calculator and write your final answer in the given box)

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Q: Find the equation of the tangent line to the graph of f(x) = 3x²e*-1 – 1, at ¤ = 1.

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Q: Solve (x – y)dx + (3x + y)dy = 0 with the condition: y(2) = –1 O (2æ + 4y) – (2x + 4y) ln(2x + 4y) =...

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Q: 5. DETAILS LARAPCALC10 2.3.028. Find the marginal profit for producing x units. (The profit is measu...

A: The objective is to find marginal profit for producing x units .

Q: Q// Sketch the region of integration and evaluate the integral +/y+4 dxdy y+4

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Q: Prove the following identities. cos( - ) sin x/2

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

Q: Find a linear differential operator (of lowest order) that annihilates the given functions: o f(x) =...

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Q: Find the general term of the sequence, starting with n = Determine whether the sequence converges, a...

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Q: Sxsin(3x)dx 2

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Q: 1. | e cos(2x) dx

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Q: 4.) Find dy/dx. Given: 5x - x'y' = 2y %3D 5.) Find dy/dx. Given: y? + 2xy² – 3x + 1 = 0 | 6.) Find d...

A: 4. 5x-x2y3=2y5. y2+2xy2-3x+1=06.1x+1y=1

Q: V3 tan A = 1 M 30 150

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Q: 8) 4xy dy-(y²t1)dx= 0 Y(2)= | ナ

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Q: 1. Find the area of the region bounded by the graphs of the equation y = x and y = x2.

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Q: Chau can choose Plan A or Plan B for his long distance charges. For each plan, cost (in dollars) dep...

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Q: Transform the polar equation ?r = 5 cos(0) to an equation in a and y.

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Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

A: Given ∫1xx6+1 dx Substitute u =  x6 + 1→dudx=3x5x6+1→dx=x6+13x5 du =13∫1u2-1 du Now solving ∫1u2-1 d...

Q: The Distance from P( 5,3) to Q(2,-1) is

A: Compute the distance between x1, y1, x2, y2:  x2-x12+y2-y12The distance between 5, 3 and 2, -1 is =2...

Q: In the decomposition a = aTT + aNN, what do aT and aN represent?

A: Tangential and normal component of Acceleration : Suppose that r→(t) is a smooth parametrization of ...

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Q: 19x? 8x - Evaluate : lim 4x2 + 18

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Q: solve the differential equation: y(2xy+1)dx+x(1+2xy-x3y3)dy=o

A: Given diffrancial equation y2xy+1dx+x1+2xy-x3y3dy=0Solution :y2xy+1dx+x1+2xy-x3y3dy=02xy2dx+ydx+xdy+...

Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

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Q: Refer to question below. Evaluate d(cos x – x)

A: Anti derivative of derivative .

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x? ...

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Q: 3 4 Sa cos xsin xdx cos

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Q: 1.) f(x) = 1- 2x at a point where x = -3 2.) f(x)= 5x + 12x? - 7x at a point where x = 1 3.) f(x) = ...

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Q: Evaluate the following limits by constructing the table of values. 1. lim 3" 2. lim 5" 4. lim cosr 7...

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Q: Use finite approximations to estimate the graph of f(x) =x between x = 0and x = 1 using 1. a lower s...

A: Let's find. 

Q: Q// Sketch the region of integration and evaluate the integral 4-y xe2y -dxdy 4- y .4 0.

A: Find your answer below 

Q: Determine whether the vectors are linearly independent or linearly dependent. 7 9. [5] v, = |0|v, =|...

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Q: 1. Write the first five terms of the sequence п а) а — 3" п b) а, = sin п c) a̟ = (- 1)'(÷) (– 1)***...

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Q: 1)) The point H(2, 6) is reflected over the x-axis. What are the coordinates of the resulting point,...

A: The given point H(2, 6)

Q: 9.) Find d'y Given: x +y = 1 dr 10.) Find coen y= 3x- 1

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Q: cos 2x + 2 sin 2 x = _______

A: This question can be solved by applying the formula of cos2x cos2x=cos2x-sin2x

Q: Write the equation of a conic given by 8x² + 8y² – 16x + 48y+ 10 =0 in standard form. A (x- 1)² + (y...

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Q: The equation of the tangent line to the graph of f(x)=ln(x) at x=e^−1 is given by y=mx+b for m =  ...

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Q: r (t) = -li+ (9 cos(t)) j+ (9 sin(t)) k

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Q: Consider how to use a 10x10 percent grid to solve a percent - whole - part problem. Briefly explain ...

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

Q: The distance from the center of a hyperbola to its vertex is larger than the distance from its cente...

A: Given query is to find that statement is true or false.

Q: 5. (2xye*³y + y²e*y² + 1)dx + (x²e*²y + 2xye*y² – 2y)dy = 0

A: Recall: If the equation Mdx+Ndy =0 is exact i.e,∂M∂y=∂N∂x , then the solution is                 ∫y ...

Q: Evaluate the following integrals: dx x In x 2.S da 1+x 1+x?

A: 1. ∫dxx ln x2. ∫1+x1+x2dx

Q: Prove the following identities. sin 2x csc x =

A: Topic:- trigonometry

Q: 3. Evaluate: -x²+2x dx (Hint: let t = (x – 1)²)

A: We know, ∫0∞e-x2dx=π2. ∫2e-x2πdx=erf(x) erf(1)= 0.84(approx)

Q: Question Select your answer. 1 if r 4 4 16 does not exist 2 Answer

A: Topic = Limits