What is the second portion to the question ?

Q: Wirte the sum using sigma notation: 1 1 + 1.2 2.3 A = B + 1 + 3.4 Submit Question 1 189 190 ΣΒ,…

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Q: 6: Write each exponential (a): f(x) = = 32 2 functions in the form f(x) = Q₁ a (b): f(x) = 3 (5¹)…

A: Consider the given functions. (a) f(x)=3x2x, (b) f(x)=35x25x(c) f(x)=32x+1

Q: g(x) = 36 - X² x² + 6x (a) Find the domain of g(x). O x = -6 x = 36, x = 0 O x-6, x 6 X # 36 O x # 0…

A: Functions

Q: Compute the dot product. (Use symbolic notation and fractions where needed.) (j+i) (j+ k): =

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Q: After a foreign substance is introduced into the blood, the rate at which antibodies are made is…

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Q: Find the Laplace transform of the following given: 1. f(t) = 6e-5t + e³t + 5t³ - 9 2. h(t)e-3t…

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Q: use the Alternating Series Test to determine if the series converges. If the Alternating Series Test…

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Q: find the integral from bounds 3 to 8 x/3x^2-9 dx WITHOUT using u substitution or anything similar

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Q: An airplane is located at position (4, 5, 5) at noon and is traveling with velocity 400i + 500j - k…

A: Given:  A: Airplane's present position B : Airport V : The velocity vector of the airplane, (in…

Q: In the triangle below Ĉ= 90°, AC = 2 and BC = 4 B cosec (B) = C A Q

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Q: 4. Set up an integral in spherical coordinates for the volume of E, where E is the solid top-half…

A: Given that, E is the solid top-half hemisphere defined by              0≤x2+y2+z2≤9    and  z≥0.…

Q: Consider the following function. (If an answer does not exist, enter DNE.) 3 f(x) = 1 + X= X (a)…

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Q: Given the series 10 50 + 8 64 250 1250 + 512 4096 Does this series converge or diverge? diverges…

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Q: Given the partition P = {1, 3, 4, 7}, the midpoint Riemann sum for f(x) = x² + 1 on [1, 7] is: 3…

A: We havef(x)=1+x2 and partition ={1,3,4,7}

Q: Let r(t) = (2t³-3, 2e-t, 3 sin(-2t)) Find the unit tangent vector T(t) at the point t = 0 T(0) =…

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Q: Find all local maximum and minimum points of y = 2 + 3x − x³ by the second derivative test.

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Q: Find lim r(t) t →∞ 3t if r(t) = (2+e¯³)i + 2tan ¹tj + - 4t³ – t 2t - t³ k

A: If rt=2+e-3ti+2 tan-1 tj+4t3-t2t-t3k, then to find limt→∞ rt.

Q: use the Alternating Series Test to determine if the series converges. If the Alternating Series Test…

A: According to question,Given Series,∑n=1∞sin nπ2n!

Q: (2) Σε i=5 ¹(¹7) = sin (b) Σκίτ (c) 24 = J=0 =

A: We have to evaluate each of the summation notation

Q: You are given the following functions. (1) (II) v = (III) u²+1 u²-1 u²+1 (a) Which of the…

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Q: What is the tangent line approximation to e* near x = 6? NOTE: Enter your formula exactly, or round…

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Q: Evaluate. (Be sure to check by differentiating!) x5 2 In x² dx, x>0 (Hint: Use the properties of…

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Q: 5. h(t) = 6e5t cos(2t) – e¹t -

A: ht=6e5tcos2t-e7tformula used : Leatcosbt=s-as-a2+b2Leat=1s-a

Q: Find the area of the region bounded by the curves x4- 9x2 and x3 - 9x between −3 ≤ x ≤ 3. Show all…

A: We have given two curves and we have to find the area of the region between curves.

Q: Present Value of an Investment Jada deposited an amount of money in a bank 7 years ago. If the bank…

A: NOTE: Refresh your page if you can't see any equations. . the future value is A=18000 number of…

Q: INTEGRAL CALCULUS 3. Evaluate: f sin(lnx) dx e²y dy √1+ey 4. Evaluate: f

A: To evaluate integrals

Q: Find the curvature of the curve r(t) = (4 cos(3t), 4 sin (3t), 2t) at the point t = 0 Give your…

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Q: apply the Limit Comparison Test to determine whether the given series converges or diverges. 1+n+n²…

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Q: What is (5)^3/3-4(5)

A: (5)^3/3-4(5)

Q: K Find the area under the given curve over the indicated interval. y = 2x; [1,4] The area under the…

A: Given function y=2x ,and x belong to x=1 to x=4

Q: 2 a) Find the points on the curve y=x²-6x² +4 where the tangent line is horizontal.

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: Find the curvature of the curve r(t) = (-5t, 3t5, 2t³) at the point t = Give your answer to 2…

A: r(t)=<-5t, 3t5,-2t3>, point, t=-1

Q: Calculate the volume of the solid obtained if the plane region R bounded by y=x and x= 4y - y2 is…

A: y=x and x=4y-y2

Q: (2) Show that f(x) = e³x cos(2x) is of exponential order.

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Q: Find the divergence of the field. F=3zexyzi + 3zexyzj + 3yexyzk div F =

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Q: Find the associated half-life time or doubling time. (Round your answer to three significant…

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Q: Assuming that b is positive, solve the following equation for b. b (4x-7)dx=6 -1 b≈ Round your final…

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

Q: 18 (t - 3)² (a) Find the asymptotes. (If an answer does not exist, enter DNE.) vertical asymptote…

A: The given function yt=18t-32. We have to find the asymptotes of the rational function and sketch its…

Q: Find the length of the curve x(t) = e²t cos(t), y = e2t sin(t) for 0 ≤ t ≤ 4. Give an exact answer,…

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Q: Which of the following are examples of rational functions? Select all that apply. U 0 y = 1 + & ! **…

A: Explanation of the answer is as follows

Q: If f(x) = [ then f'(x) = f'(2) = t^dt

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Q: Let A(z) = f(t)dt, with f(x) shown in the graph below. sh da ch At what x values does A(x) have a…

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Q: Use sigma notation to write the following Riemann sum. Then, evaluate the Riemann sum using formulas…

A: By using sigma notation to write the following Riemann sum. Then, to evaluate  the Riemann sum by…

Q: Work. An open tank has the shape of a right circular cone. The tank is 5 feet across the top and 20…

A: Work = Distance*density*volumeVolume of…

Q: 3 -3 x³dx=0

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Q: Determine the value of f"(1) when f(x) 3 ln (2x + 1). 1. f"(1) = 813 5. f"(1) = = 2. f" (1) 3. f"(1)…

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A: Given: h(r,s,t)=ln(3r+6s+9t) We are required to find: The directional derivative of h at (1,1,1) in…

Q: Find the factors that are common in the numerator and the denominator. Then find the intercepts and…

A: rx=x3-3x2-4xx-4

Q: use the Alternating Series Test to determine if the series converges. If the Alternating Series Test…

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Q: The altitude in feet attained by a model rocket t seconds into flight is given by the function h(t).…

A: The altitude in feet attained by a model rocket t seconds into flight is given by the function h(t).…