Evaluate the following sums: a.--22√k+2 b.Σ o(x + 2i)2 3

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

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Q: A street light is at the top of a 13 ft tall pole. A woman 5.75 ft tall walks toward the pole with a…

A: Given problem:- street light is at the top of a 13 ft tall pole. A woman 5.75 ft tall walks toward…

Q: dy y (1-√y)² 2

A: Given :∫dyy1-y2

Q: 70- 60- 50 40 30 20 10- -10 10 20 30 40 10. Lamont is a lifeguard and spots a drowning child 40…

A: Given ,  Lamont is a lifeguard and spots a drowning child 40 m along the shore and 70 m from the…

Q: 71 ****** For Q.4 and Q.5, if no ), then: Q.4) The radius of convergence is: a) R = 1 b) R = 2 c) R…

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Q: Find Maclaurin's series f(x) = √²x.

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Q: The height of a sand dune (in centimeters) is represented by f(t) = 850 - 2t² cm, where t is…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: s Sinx Cosy 1-Sin" x elx

A: To evaluate the given integral.∫sin x cos x 1-sin4 x dx

Q: If f(x) = x³ +1.5x² - 90x + 16, find analytically all values of a for which f'(x) = 0. (Enter your…

A: This question can be solved using the concept of differentiation.

Q: SR f(y-2x²)dA Where R is the region bounded by |x + y = 1?

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Q: 172) 1fef(x) = x² + 1. then f'(x) = 3) 2x ble-f 다. 품

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Q: Q.22) The integral x-3 dx is convergent if the values of p are: a) (-0,3) b) (-∞, -2) c) (3,00) d)…

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Q: (10. a = [-1, 5,2], b = [3, 2,-6], and c = [1, -4,-2]. Calculate the following: a) axb b) a b × c c)…

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Q: 2. Evaluate the double integrals by iteration. whre B is the region 0 ≤ x ≤ 1, ² ≤ y ≤ = d.A

A: Let's evaluate given double integral.

Q: ute the area of the polygon with vertices at 5,1), (3,-10), (-3,-3) (-2,0)

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Q: The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and…

A: See the details solution in below

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Let's solve given diffrential equation.

Q: ind the regions where sinx Sx.f

A: Topic:- trigonometry

Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in…

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Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: According to the instructions, We are instructed to answer only one question , the other questions…

Q: A spring with a 3-kg mass and a damping constant 8 can be held stretched 1.5 meters beyond its…

A: NOTE: Refresh your page if you can't see any equations. . the given mass is   the damping constant…

Q: For a given triangle, side y is measured as 10 cm, the horizontal side x as 20 cm and the included…

A: Concept: Estimating error using differentials: ∂A=∂A∂a∂a+∂A∂b∂b+∂A∂θ∂θ Here A is the area of the…

Q: Q.3) +4x+8 dx m a) tan-1/3+2 +c b) in 2 + c c)e()+c d)+c

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Q: Given that lim_ f(x) = 1 lim_g(x) = -2 lim_h(x) = 0, X→2 x → 2 X→2 find each limit, if it exists.…

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Q: 2. Determine the centroid of the area bounded by the curves y = 4x + 16, x = -2x = 5 and x-axis.

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Q: You've been asked to calculate the mass of a conical pile of sawdust measuring 7 meters high with a…

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Q: Q.7) To evaluate the integral fev dx, we use the substitution : ⇒) u = x b) u = dx c) u = √x d) None…

A: This is a problem related to integral and series and sum calculation. Based on the general formula…

Q: (3²+ 3a)dA, where D is the region in the 3rd quadrant between the circles 2² + y² = 1 and x² + y² =…

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

A: The given function is:Fx=x2-1x-1

Q: (B) Find the dimensions of a box with a square base with surface area 44 and the maximal Volume.…

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Q: 5 CSC x dx

A: Using following formula

Q: Determine whether the differential equation (7x² − 2xy + 2) dx + (8y² − x² + 7) dy = 0 s exact. If…

A: Topic:- differential equations

Q: F. Which of the following functions is entire? For each, justify. 1. f (2) = 1 + 1²/²

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Q: Find Maclaurin's series f(x) = √2x

A: We have to find the Maclaurin's series for f(x)=e2x

Q: Sx² 2 3 dx

A: SOLUTION-

Q: What is the value of f(1)?

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Q: = If f(x) = f'(x) = ƒ'(5) = 4 tan x, then - sin(x)-4 sec² (x) Cos x

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Q: Find SS₁R³² z²dA where R = {(x, y) | 36x² +9y² ≤ 324}

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim X-6 - (8 - 1—² x )…

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Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.)…

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Q: Given f(x): 5x² 6x +13, find f'(x) using the limit definition of the derivative. f'(x)=

A: Given problem:- Given f(x)= = 5x²-6x+13, find f'(x) using the limit definition of the derivative.

Q: 9. f √x³-1dx x

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Q: Find the equation of the tangent line to the curve y=5√x at the point (4, 10). The equation of the…

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Q: ©√ √16- Evaluate 1 √/16 - 16x2 -doc

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Q: 0.1) (11) = HIN 이글-1 이슬-1 이를

A: This is a problem related to integral and differentiation of the function. Based on the general…

Q: iii please, NOT i or ii

A: Topic:- vector algebra

Q: 19 18. sin x cos x dx 1-3cos 2x dt 1+ e-t

A: The given integrals are;  19) sinxcosx/(1-3cos2x)  18)1/(1+e-t).

Q: f sec5 2 tdt

A: On solving this we will get

Q: 2 Find the equation of the tangent line to the graph of f(x) = - at X The equation of the tangent…

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Q: 1. 3r, If R is the region in the first quadrant bounded by z-axis, 3r + y = 6 and Y evaluate J[34 3y…

A: Given: I=∫∫R3ydA And The region bounded by the curves is; 3x+y=6, y=3x and x-axis y=0.   As we know…