Evaluate the limit: lim X-7-3 sin (x+3) 2 x² +8x+15

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Q: baid 10. Suppose that the sum of two non-negative numbers is 12. What is the smallest possible value…

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

Q: (d) J x5 + 1 +1 x³(x + 2) dx

A: To evaluate the following integral by using partial fractions. ∫x5+1x3x+2 dx Note: Since, the…

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Q: -0.015 16. e

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Q: Given that tan A = 2 and tan B = 1, and that angles A and B are both in Quadrant I, find the exact…

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Q: A hot object cools down according to Newton's Law so that thours after the start, the rate that heat…

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Q: 7. Let F = x² + ²² − x² + y² j Find the line integral of the tangential component of F, from (-1,0)…

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Q: Use the ratio test to determine whether n2n n=29 (n+2)! Converges or diverges. (a) Find the ratio of…

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Q: e Root Test to determine whether the series convergent or divergent. yan n=1 n²+3 7n² +9 te the…

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Q: Find the sum of the first five terms of the sequence. 1 a₁ = 5; an = n 1 1 n+1' n22

A: To find the sum of the first five terms of the sequence. a1=5, an=1n-1-1n+1, n≥2

Q: Evaluate the integral. (Use C for the constant of integration.) [test dt

A: Given indefinite integral  ∫te8tdt

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Q: O 6 (cos5+ i sin )

A: Since the complex number lies fourth quadrant So sin value negative and cos value positive

Q: /n³ + 1 n=1 3n³ + 4n² + 2 00 EXAMPLE2 Σ Since an is an algebraic function of n, we compare the given…

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Q: Find the component form of vif ||v|| = 2 and the angle it makes with the x-axis is 60°.

A: Given that, Magnitude of v is :  ||v|| =2 and angle with the positive x-axis is θ= 60°. Suppose, the…

Q: 1) Find the average value of the function f(x) = 3-4x + 5x² over the interval [-1, 3].

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Q: I. Evaluate the double integral 5 2x SS 0x (3x + 2y)dydx

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Q: Tutorial Exercise Step 1 1 Use a definite integral to find the area under the curve between the…

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Q: 7) Write an expression that can be used to find the average value for the function g(x) over the…

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Q: (c) Figure 4.1 shows the rough sketch of the function: y = x(x² - 6x + 8) y 0 A Figure 4.1 B X Find…

A: NOTE: Refresh your page if you can't see any equations. . to find the zeros of the function, take…

Q: 4) A region is bounded by the line x = -1, the line y = 2, and the curve y = 2*. Find the area of…

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Q: For each of the indefinite integrals below, the main question is to decide whether the integral can…

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Q: 3) Find the area bounded by the parabola x = 9-(y-2)² and the y-axis.

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Q: 3) Refer to the information in Problem 2. Find the distance traveled by the object for the interval…

A: We have, Vertical position:    y(t) = 32t - 8t2  Interval:  0 ≤ t ≤ 3

Q: The following table gives values of a continuous function. X ave 20 25 30 f(x) 41 38 29 35 40 45 50…

A: The following table gives values of a continuous function. x 20 25 30 40 45 50 fx 41 38 29 26…

Q: A volume is described as follows: 1. the base is the region bounded by x = y² +10y + 62 and x = y²…

A: equation are  (x-6)=(y-14)

Q: 3) Curve Stretching Let F(x) = x 4-12x² +36x. use all significant Features (Domain, X and…

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Q: Convert to a logarithmic equation. 100,0001/5 = 10 01 세=log10100,000 ○ 10 = log1/5100,000 O O 1 10 =…

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Q: x²-2,x 0 [K6] a) Sketch the graph of y = f(x). b) Evaluate lim f(x). x-3 c) Evaluate lim f(x). x-0…

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Q: Evaluate the integral. म (3ex+ 5 sin(x)) dx

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Q: You know that: ■ +5√3 food f(t) dt = 31 • ƒ(7) - 22 Evaluate: = I · ƒ(7) = 25 ľ 70 cos(x) f(10…

A: Let u=10 sin x Differentiation du=10 cos x dx

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Q: & W n=1 sin(n)

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Q: -6 -5 -4 -3 5 2 0 2 Use the graph to estimate the slope of the line tangent to the given graph at…

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A: ∑k=1∞1k4;En≤0.000015

Q: For each function below, assume A and B are constants. Match each graph with one of the listed…

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