Find the area of the blue region. It is the area under the curve. y 8 6 4 2 y = 3x + 1 y=8-x

Q: The velocity function v(f) (in meters per second) is given for a particle moving along a line.…

A: We have to find the displacement and distance travelled by a particle in the given interval.We will…

Q: 3 [³ ex dx = e³-e, use this result to evaluate Given that 3 [²70 7ex +4 dx.

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Q: Let f(x) = x if x ≥ 5 5 if x < 5 a. Find f(1), f(5), and f(7). b. Sketch the graph of y = f(x).

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Q: Suppose f(x) X = -1. Determine and graph four distinct antiderivatives of f. 10 -8 -6 -4 -2 10+ 8 6…

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Q: Evaluate the integral: 0 x = (A) Which trig substitution is correct for this integral? Ox= 16 sin(0)…

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Q: Consider the following integral. √1 + 7x dx Find a substitution to rewrite the integrand as du. u¹/3…

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Q: Let g(t) = - 503 t Determine the most general indefinite integral of g. - 5 + dt

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Q: Determine whether the function shown below is a one-to-one function. If it is one-to-one, find its…

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Q: Compute the curl ∇ ✕ F of the vector field. F =

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Q: Let h(u) = (u +3) (u - 4) Determine the most general antiderivative of h. (u +3)(u — 4)du = -

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Q: Find all exact solutions on the interval [0, 27). If there is more than one answer, enter them as a…

A: The given equation is; 9cos(2t)=9cos2(t) -2, [0,2pi)

Q: Find the radius of convergence and the interval of convergence of the power series. n=0 nx 3…

A: The solution is following in explanation step.

Q: Find the sum of the series: n=0 (-1)"49"+2 n!

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Q: 5.4-1+1/2 - 1/6 + 1 64 |

A: Given that the series we have to find check the series absolutely convergent, conditionally…

Q: Find and simplify the difference quotient f(x) = 8 f(x+h)-f(x) h h#0 for the given function.

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Q: 3. Consider the function y = f(x) whose curve is given by the equation 2y² - 6 = y sin x for y > 0.…

A: Note:-As per your demand we solve part d for you Given derivative and point when is

Q: For the following exercises, use the Mean Value Theorem and find all points 0 < c < 2 such that ƒ(2)…

A: The given function is,Take derivative.Substitute x=c

Q: Find the integral. Use C for the constant of integration. | (x² (y² + 3)² dy

A: The objective of the question is to find the integral of the given function with respect to y. The…

Q: logarithms. Express powers as factors. 1. A 50-mg sample of a radioactive substance decays to 34 mg…

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Q: √ 5x(x² +4)√√x² + 4 dx. 2

A: To evaluate the following integral.

Q: 2. The behavior of the system is a saddle. y' = -x + y, = -x-y

A: Given system is x' = -x +yy' = -x -y

Q: Step 1 of 4 Find lim foo 10 3 Enable Zoom/Pan

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Q: sin x lim X→0 xX tan x m. n. lim x→0 X

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Q: (−1)" (x + 15)" Σ 10" 14 n=|

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Q: The answer is wrong

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Q: When solving the auxiliary equation associated with the differential equation 3y"+2y"=0 it is…

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Q: 7. Apply the test for divergence to each infinite series given below. Then using at least one…

A: Given:To Find: To apply the test for divergence, for each of the given series. Then to explain the…

Q: Two cylinders are given. The larger cylinder is a dilation of the smaller cylinder. Part A:…

A: Smaller length = 2mLarger length = 9mVolume of the smaller cylinder = 24 pi m3

Q: Find the area under the curve y = 9x5 over the interval [0, 2]

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Q: 61. Presale Order A wireless store owner takes presale orders for a new smartphone and tablet. He…

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Q: Find the ninth term of the binomial expansion. (p+q) ¹¹

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Q: Find the cost function for the marginal cost function. C'(x) = 0.07e0.05x; fixed cost is $7 C(x) =

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Q: Graph of Function VA W Even or Odd Degree? Sign of Leading Coefficient Domain and Range End…

A: Graph 1The given graph of function

Q: Let (a) Evaluate det1B 2 by expanding by the second row. (b) Evaluate det1B 2 by expanding by the…

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Q: Let + f² f(x) dx = 3, Find S 4 f(x) dx = -10 5 ¹ [*³ f(x) – 6 and - 3 dx = f(x) dx = 3, [ f(a) f(x)…

A: The Sum Rule:The Power Rule:The Constant Coefficient Rule:

Q: 4. n=1 ne-n

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: (3√2, -3√2,6) to cylindrical to cylindrical coordinates. Enter your answer as an ordered triple and…

A: Cartesian coordinates:(x,y,z)=(3√2,-3√2,6)

Q: 3 fff Sayz dv= - S₁² S₁² ² 8zyz dz dz dy 2

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Q: If f(x) f'(x) = = x² S²³ to dt then

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Q: L³₂x³dx -2 2 1 x+0.5 dx

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Q: Find the area of the shaded region. r = 4 + 3 sin(0) -5 y 5 -5 5 -X i

A: The region is bounded by the curve The given graph of the region

Q: Convert the point with cylindrical coordinates 11π 13, 5 to Cartesian coordinates. Enter your answer…

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Q: Find the equation for the line tangent to the parametric curve: at the points where t = 4 and t =…

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Q: Evaluate the integral: √16x² 8x² O x = 16 tan(0) Ox = 4 sin(0) Ox= 16 sec (0) Ox= 16 sin(0) 0x = 4…

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Q: Find the derivative of the function. y = 7x-6 8x+3

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Q: 9. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval 0, π], are…

A: Given that the function are

Q: Question 1 If you know that Q(x) is a quadratic function and that Q(8) = 7, Q(7) = 2 and Q(1) = 6…

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Q: The Taylor series for f(x) = x³ at-4 is cn(x + 4)". Find the first few coefficients. Co= C1 = C2 -…

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: Given,