Evaluate each limit, if it exists: a)lim ²-4 X-2

Q: Find the derivative of f(x): = 5-√√/x 9 51% Type your answer without fractional or negative…

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Q: Identify the inside function, u = g(x), and the outside function, y = f(u). y = (x2 – 5x + 7)2 u =…

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Q: Y X arb 1.5 Lab Activity In BMX dirt bike racing, jumping high (or "getting air") depends on many…

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Q: Suppose y = f(x) is the equation of a curve which lies between the curves y = x² + 3 and y = 621…

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Q: Let y=e¯*(Acos(x) + Bsin(x)) be the solution of the initial value problem for the differential…

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the…

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Q: Use a tangent plane at (-6,-4) to approximate the value of the following function at the point (-…

A: Given function :  −2x2−4y2+7z=−101 Now, −2x2−4y2+7z=−101z=2x2+4y2−1017f(x,y)=2x2+4y2−1017

Q: Use any of these formula (an = 1/2 (a₁ + an) or an = /[2a₁ + (n − 1)d] to solve for the sum of the…

A: Given :an=n2a1+an an=n22a1+n-1d use Sn for sum1. Sum of first even counting numbers :2, 4, 6, 8.....…

Q: Given: (x is number of items) Demand function: d(x) = 264.5 0.2x² Supply function: s(x) = 0.3x² Find…

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Q: Given f (x) below, select ALL of the true statements. lim-4+ f (x) = 1 lim, 4 f (x) = 1 lim,-4-f(x)…

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Q: Decide if each set of inequalities provides sufficient information to determine lim f(x), and if it…

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Q: F(x,y) = 5 x³ ty sin²x 4 2 x +y 0 if (x,y)=(0,0) " ‚ if (x,y)=(0,0)

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Q: If ƒ(t) = (t² + 2t + 4) (7t² + 6), find ƒ´(t). Find f '(5).

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Q: 6x5x², find ƒ'(-4). If f(x) = 5 + 6x 5 +

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Q: Can we use x = vy? (x -y In (y/x)) (vy - y In(y/vy)) --> (vy - y In(1/v))

A: yes you can do it.

Q: Let 8(t) = 8+³ + 36t² + 48t be the equation of motion for a particle. Find a function for the…

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Q: Find the absolute maximum value on (0, co) for f(x)=3-12x-- Select the correct choice below and, if…

A: To find the absolute maximum.

Q: Solve (x - 1)dx - (3x - 2y-5)dy = 0

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Q: M. Takahashi is employed at an annual salary of $30,822 paid semi-monthly. The regular workweek is…

A: Topic- algebraic operations We are given annual salary=$30,822 regular workweek =37 hours number of…

Q: Find f'(t) and simplify your answer. cost f(t) = 1 - 2 sint

A: Given function is a quotient function and we proceed with finding the derivative of f/g…

Q: please solve   401,411

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 70,000 +900x. (A) Find the…

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Q: h-x² + ₂x [[x-h]] + xh x² + 3x-4 [[X-h]] +xh th-EX lim X⇒ −4° lim

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Given line x=2t, y= t − 3, z = 2t + 2 That is , r=(-3j+2k)+(2i+j+2k)t And given point (7,-6,5)

Q: Find the domain and range of the following graph in interval notation. 54 4 3- 2 -5-4-3-2 - -1- -2…

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Q: Exercise 8.6.9. The following formulas define functions f and g from R to R. Find formulas for…

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Q: Use the properties of the derivative to find the following. r(t) = ti + 4tj + t²k, u(t) = 4ti + t²j…

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Q: The total cost (in dollars) of manufacturing x auto body frames is C(x)= 30,000+200x. (A) Find the…

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Q: Find the average cost function if cost and revenue are given by C(x) = 151 +5.3x and R(x) = 4x…

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Q: lim X> +∞o ( √9x² -5x+1 + 3x

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. Σ( (-SI) The…

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Q: 199. Let f(x) = cotx. Determine the points on the graph of f for 0 < x < 2 where the tangent line(s)…

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Q: w!! [[x-h]] +xh X> -4° x² + 3x-4 Will [[x-h]] + xh X>-4² x²+3x-4

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

Q: dP 153 - 17t people per year. Find a dt The population of a town is growing at a rate given by…

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Q: x³-4x-10=0 1 Use your calculator to determine the next five estimates using x₁ = 4 as the initial…

A: Given :

Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s²…

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Q: correct answer for D and E

A: We have to find the total distance travelled.

Q: ← Find f'(t) if f(t) = -4t² +9t+3. f'(t) = K

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Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 30,000+400x. (A) Find the…

A: Given, The total cost of manufacturing x auto-body frames is C(x)=30,000+400x (a) To find the…

Q: Use the price-demand equation p +0.004x = 46, 0≤p≤46. Find the elasticity of demand when p = $24. If…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Tangent line

Q: Find the distance between each pair of points.

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 4sin…

A: The given series: ∑k=1∞4sinkπ2We need to check its convergence.

Q: Determine whether the alternating series converges. Σ(-1). Sink O The series converges. O The series…

A: The given alternating series ∑k=3∞-1k5ln kk we have to fins the series is converges or diverges.

Q: Find the area of the surface generated by revolving the curve y = √2x-x², 0.5≤x≤ 1.75, about the…

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

Q: lim X> +∞o ( √9x² -5x+1 +3x ‹)

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

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Q: Show that the minimum value for the function f(x) = x^2 + 4x -21 happens when x = -2

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Q: Use shifts and scalings to graph the given function. Then check your work with a graphing utility.…

A: Topic- translation of a function   if g(x) is shifted by a units to right and b units down then new…

Q: 5. Use derivative rules to find the derivative of h(a)=3f(x) - 2g(x) - ² f(x) + Show steps fo 6.…

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