25 lim x+c+ (x-c)³ 25 lim x+c¯(x-c)³

Q: The owner of a skating rink rents the rink for parties at $660 if 30 or fewer skaters attend. For…

A: The owner of a skating rink rents the rink for parties at $660 if 30 or  fewer skaters attend. For…

Q: Let f(x, y, z) = 5x³ - y³ + z². Find the maximum value M for the directional derivative at the point…

A: Let fx, y, z=5x3-y3+z2. To find the maximum value M for the directional  derivative at the point 1,…

Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + 12² 24² 36² 48² (Use symbolic notation and…

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. e³x √-3 da…

A: If the integral valu finite then the integral is convergence And integral valu not finite then…

Q: If a company has total costs C(x) = 24,000 + 45x + 0.3x² and total revenues given by R(x) = 425x -…

A: The total cost function is Cx = 24,000+45x+0.3x2 Total revenue function is Rx = 425x-0.7x2 To…

Q: 10 5 0 f(x) = vx - 5 5 10 15 20 25 30

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Q: -10 x f(x) 10 10 Use interval notation to determine where f(x) ≤ 0. (0,1) 10 Use interval notation…

A: A graph is given and we need to find out the intervals.

Q: Let f(x, y) = x+y+xy. d First, find g(x, y) = f(x,y). Then, calculate g(2, 3). (Enter the exact…

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Q: Use the Limit Comparison Test for 4n² + 2 n(n-1)(n-19) Σ' an bn n=25 to prove convergence or…

A: The given series: ∑n=25∞an=∑n=25∞4n2+2nn-1n-19We need to prove the convergence or divergence using…

Q: The expression (3a¹b³c¹)² (2a²b³c³)³ equals na²b³c¹ where n, the leading coefficient, is: and r, the…

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Q: X-25 (x-2) √√x²+2x Converges? Dieverges? dx AND WHY?

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Q: Integrate by partial fractions: x² - 4x + 4 r(r - 1)³ -dx

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Q: If the profit function for a firm is given by P(x) = -1600 + 170x-x² and limitations on space…

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Q: Evaluate the surface integral ¹ // F F. ds for the given vector field F and the oriented surface S.…

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Q: Using algebra, find the point at which the line h(x) = (x, y) = = 2x + 0 intersects the line k(x) =…

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Q: 9. 4y Find the relative extrema of f(x, y) 5 Notes: D=fxxfyy (fxy) ² if D>0, then if fxx>0: rel min…

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Q: Determine whether the graph in the figure is the graph of a function. 29. YA X

A: We have to check whether graph is a graph of a function or not.

Q: Find the general solution of the differential equation y^(4) + y''' + y'' = 0

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Q: [200] Given E=1 42, determine, L3 3 1 1 the determinant of E. 2 the matrix of the minors. 3 the…

A: E=200142331

Q: 5-46 Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Part 1 Find  PK + 1 for the Pk PK=1 + 6 + 11 +...+ [5(k-1)-4] + (5k-4)   Part 2 Prove the…

A: Let the given statement be Pn. Then, 1. The given statement is true for the initial value. 2. Assume…

Q: If v(t) = -t+2 and d(0) = -3, then d(t) = - + 2t-3. false Otrue

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Q: Solve the following differential equation y"+y' = sec(x).

A: We have,     y'' + y'  = sec (x)

Q: 5. Consider the following vectors in 3D: (1,2,3) & (-4,0,1). Determine a vector that is orthogonal…

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Q: Compute the improper integral DNE 1 e e e 1 x ln(x) -dx if it exists. If not, select DNE.

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Q: What is the reference angle of θ if θ = –137°? A 43° B 47° C 137° D 223°

A: Explanation of the answer is as follows

Q: ƒ(x) = x + 1 X

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Calculate the integral approximations T6 and M6 for (lnx)-¹ dx. Your answers must be accurate to 8…

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Q: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

A: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

Q: Use the equation to find dy dx dy dx || | OF дх OF ду || | ㅠㅠ X 3ey sin(x) = x + xy

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Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

A: Note: Due to Bartleby policy i can solve only the first question with its 3 subparts.     The cost…

Q: Use the graph of y = f(x) below to graph y = f(-x). 5 -4 -3 -2 4+ 3+ 2+ -1 -2 + -3+ -st

A: By using the graph of y=fx below to graph y=f-x.

Q: MATCHING LIST Match each pair of vectors with their dot product. v = 6i + 7j and w = -8i + 9j v=3i -…

A: (a) given v=6i+7j and w=-8i+9j

Q: [[[* (x - y) dV, 2. Perform the triple integration: z = 12², and the planes y = 0 and y = 2. where E…

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Q: Consider the equation −5x +9y = 27 A line parallel to the above line would have a slope of A line…

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Q: 3. y=√√2x (x²-2), y'=?

A: We have to find the derivatives.

Q: Solve the following differential equations ** - 2x +2y=x²₁ dy dx

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

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Q: 4. Evaluate the integral: 1 (x³ + 1)³6x² dx S= Type U U'

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Q: Determine all values of p for which the improper integral converges. [.. 7 dx Op> 1 Op≥ 1 Op<0…

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Q: Solve the equation by using the quadratic formula. 6y + 3 = -4y² Select one: √105 √105 Da { - 1 +…

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Q: A house was valued at $120,000 in the year 1993. The value appreciated to $145,000 by the year 2001.…

A: We have, A house was valued at $120,000 in the year 1993. The value appreciated to $145,000 by the…

Q: Use implicit differentiation to find дz дх дz ду || || 9yz + x In(y) = 22 z2 X дz дх and дz ду

A: By using the implicit differentiation to find ∂z∂x and ∂z∂y. 9yz+x lny=z2

Q: Use the Chain Rule to find az/as and az/at. дz əs əz at || || z = tan(u/v), u = 8s + 2t, v = 2s - 8t

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Q: x ¹ y ³ z ³ y ³ where r, the exponent of x, is: and s, the exponent of y, is: and finally t. the…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: TT Find the Taylor series at x = for 7sin(x). (Make sure your answer has at least three terms.) 2

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Q: Find all the first and second order partial derivatives of f(x, y) = −8 sin(2x + y) + 9 cos(x − y).…

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Q: A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t) =…

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Q: Consider the function: f(x,y)=3xye 8x²-8xy + y²

A: We know that, a function f(x,y) has stationary points at that points where, the partial derivatives…