Find the limit. lim (x6 (+6 +x7) X→-80

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Q: Find the unit vectors that are parallel to the tangent line to the curve  y = 8 sin(x)  at the…

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Q: Evaluate the limit. Lim (x,y) → (0,0) 3x³ +5y² 2x² - y²

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

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Q: Book Design A book designer has decided that the pages of a book should have 1 in. margins at the…

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Q: Find the volume of the solid bounded by the paraboloids z=-3+2x² + 2y and z=3-32²-3y².

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Q: Optimal Chapter-Flight Fare If exactly 196 people sign up for a charter flight, Leisure World Travel…

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Q: Find the length of the curve: r(t) = i + 14tj + 7t4k over the interval [1,5].

A: We need to find length of curve.

Q: 4. Find the area of the region bounded by the graphs of f(x) = x³ + x² - 6x and g(x)=2x-x² A. C. 20…

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Q: 2. Sketch a graph that possesses the characteristics listed. f'(-2) = 0 f"(-2) 0 f(1) = -1 f"(4) =…

A: The graph has the following properties, f'-2=0f''-2<0f-2=4f'1=0f''1>0f1=-1f''4=0f4=2 We have…

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Q: 1. State Rolle's Theorem and draw a picture to illustrate it. 2. Which part of Rolle's Theorem is…

A: Rolle's Theorem states that if a function f is continuous on the closed interval [a,b] and…

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Q: 3. Use the method of separation of variables to solve the initial value problem: dy √x y(1) = ln 2…

A: Given differential equation dydx = xeyy( 1 ) = ln2

Q: Find f(x) by solving the initial-value problem. f'(x) = 9ex - 8x; f(0) = 16 f(x) = ||

A: Find f(x) by solving the initial-value problem. f'(x)=9ex-8x    ;       f(0)=16 To solve the…

Q: Find the exact value of the trigonometric function at the given real number. 7% 3 (a) -3√2 (b) sin…

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Q: find the domain of the function -identify any symmetries - find the first and second -identify any…

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Q: differentiable on  (-infinity, infinity) and that for each number x, |f'(x)|  <= to 1. Use the Mean…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 1…

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

Q: Consider the function f(x)= x³ ln(7x), defined for a > 0. (a) Find the only critical number for this…

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Q: Use linear approximation to estimate following quantity, Choose a velue of a to produce a small…

A: Linear approximation ⇒Lx=fa+f'ax-a

Q: Calculate R8 for f(x) = 10 − x over [3, 5]. R8

A: f(x)= 10-x Over [3,5] We have to calculate R8

Q: Suppose that f(x, y) = e²/" on the domain D= {(x, y) |0 ≤ y ≤ 1,0 ≤x≤y}}. D a Then the double…

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Q: The terminal point P(x, y) determined by a real number t is given. Find sin(t), cos(t), and tan(t).…

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Q: (c) In terms of m and n (with 1 ≤ m <n), find a formula for: Σi². i=m

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Q: An integral equation is an equation that contains an unknown function y(x) and an integral that…

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Q: 2T Calculate L4 for f(x) = 57 cos (2) over [ 24, 2 L4= ←

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Q: Find the area of region A in Figure 6. G FIGURE 6 F:r = 16 cos 0, Tg = 1, F 2rx G:r = 1 rf = 8

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Q: 360° O 270° O 180° 90° 2. The smallest value of for which cote is undefined in the interval [ 180°,…

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Q: B(x) = 3x2/3 - x (a) Find the interval of increase. (Enter your answer using interval notation.)…

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Q: Given the vector u = |ū| - 37 - 5j, find the magnitude of the vector. Question Help: Post to forum

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Q: The length of a rectangle is increasing at a rate of 3cm/sec and its width is increasing at a rate…

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Q: 23. Solve the differential equation y' = x + y by making change of variable u = x + y.

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Q: Find the local linearization of f(x) = ² at −1. 1_₁(x) =

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Q: Use logarithmic differentiation to find the derivative of the function. e-x cos²(x) 5x² + 7x + 9…

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Q: It is known that a certain kind of algae in the Dead Sea can double in population after 3 days.…

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Q: The marginal revenue from selling x cameras is 165 - 0.06x dollars per camera. Find the revenue…

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Q: What is the value of f(x)=3^x+1 -2 for f(–1)? A    –2 B    –1 C    1 D    2

A: f(x) =3x+1-2

Q: Given č = c+a= 37 + 73 and a = 57 +7, find c + a. 3 1:09 i +

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Q: An aluminum can is to be constructed to contain 2,400 cubic centimeters of liquid. Find the height…

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Q: Use the Divergence Theorem to evaluate the surface integral F. ds. F = (x³, 1, 2³), S is the sphere…

A: Use the Divergence Theorem we need to evaluate the given surface integral.

Q: The following limit represent the derivative of a function f at a point a. Find a possible f and a,…

A: let function is f(x) given is derivative f'(x)=limh→0(1hsin2(π4+h)-12

Q: (2) Σ k! (k+ 3)!

A: To determine whether the following series converges or diverges. ∑k!k+3!

Q: Evaluate the following limit using L'Hospital's rule. lim x→∞ ln(x3) / ( 4√(2x+5))

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Q: Find the exact value of the trigonometric function at the given real number. (a) cos(-) 1 2 (b)…

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Q: Find the following limit. lim

A: limt→32t2+t-5,t2+2t-15t-3,3·cost

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