Write the equation of a sine or cosine function to describe the graph.

Q: Evaluate the integral of the following using Miscellaneous Substitution dx 1+ X

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A: integration

Q: fadin a chive Decay Ihe radioghye Kroghope Curhan-f has 8 hak lHe of 599 yeaks. What iş Hi decay'…

A:

Q: |(sin5 (x)) dx

A: Given ∫sin5x dx

Q: H.W: Evaluate the integral 1 1 1. || x²e*ydxdy o y

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Q: Q7. A savings account has £25,000 invested for 4 years @ the rate of 6%. What is the value of the…

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Q: d Calculate ri(t)· r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

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Q: Consider the double integral %3D (a+ 2)? + y = 4 Where R is the region of Xy given x² + y? = 4 find…

A: Given problem:-

Q: H.W: Which of the sequences {a,„} converge and which diverge: 7 1. a, = 2+ (0.1)" 2. а, n

A: A sequence <an> is converges if limn→∞ an is finite and exists.

Q: A marketing specialist determines that when a certain product is released, the number of social…

A:

Q: x dx 2 /9 – 4x²

A: Using integration

Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

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Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x2…

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Q: Given the v-t diagram, determine the acceleration in ft/s^2 and distance covered in feet at 12s.…

A: These are the following points , we have to go through first The area under the v-t graph is the…

Q: Dy evaluating both integrals Ne ду dA y² dx + x² dy Əx for the given path. C: rectangle with…

A: We will verify Greens theorem.

Q: Solve sin(x) = – 0.13 on 0 < x < 2 - There are two solutions, A and B, with A < B= A =

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Q: eorem to evaluate the integral. Assume that the curve Cis oriented coun dy, where Cis the triangle…

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Q: Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and…

A: To calculate ddtr1t·r2t and ddtr1t×r2t first by differentiating the product directly and then by…

Q: Use Green's Theorem to evaluate the line integral. Iy? dx + xy C: boundary of the region lying…

A: A detailed solution is given below

Q: 1. A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on…

A: Question is solved step by step.

Q: 36. a6-72, a13 = 26

A: Student has specifically asked for the answer to the Question-36. Hence, solution to that problem is…

Q: Evaluate each of the following definite integrals 4 |x- 3| dx (x2 - х) dx х2 +x+1

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 6…

A: Given problem:-

Q: The displacement (in meters) of a particle moving in a straight line is given by s = 2t3 where t is…

A:

Q: 1. Find an equation for the plane through P,(0,2,–1) perpendicular to n = 3i – 2j-k

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

Q: Determine whether the series converges. 1 k+11 The series

A: The given series,    ∑k=1∞1k+11

Q: In the given integral below, what is the values of u and a? * dx УЗ — х2 — 2х и 3 х+1аnd a — 2 и 3…

A: This question is based on indefinite integral.

Q: A bumblebee was released and started to travel along a straight horizontal line. The directed…

A: Given, The directed distance d of the bee from its hive t seconds after it was released is given by,…

Q: An investment grew by 4% in the first year, 6% in the second year and 10% in the third year with…

A: Annual average growth rate is calculated as sum of each year growth rate divided by the number of…

Q: Evaluate F. dr. F(x, y) %3D хі + yi C: r(t) (5t + 1)i + tj, 0 sts1

A:

Q: Let f(x) = Va (2 – x)2. Use the local linear approximation of f (x) at ro V0.99 (1.01)?. 1 to…

A: To use the linear approximation for the given function

Q: Given k(t)=log_2.4(t+1.6)−3.7 The 3 starting points you would use would be:    . Round answers to 4…

A: Given : K(t) = log2.4(t + 1.6) - 3.7 Basic Function : y = log2.4 t The 3 starting points you would…

Q: 2 у2 | dxdy 1 у 2.

A:

Q: Evaluate the definite integral. Sols i + e*j+ t k at O e6 - 1 i+ 6 1 k i- i- (e 6 1 6 2

A: We know that integration of xn is xn+1/n+1. That is power rule of integration.     Here i attached…

Q: Use Green's Theorem to evaluate the integral (3x² – y)dx + 3xdy where C is the circle a? + y? = 1…

A: As we know from the Green's theorem; ∫CMdx+Ndy=∫∫D∂N∂x-∂M∂ydA   Given; I=∫C3x2-ydx+3xdy So, M=3x2-y…

Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

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Q: 13. One group of teenagers bought 8 deluxe burgers, 6 orders of fries, and 6 large soft drinks for…

A:

Q: b. Shown below is the graph of a function f(x). Determine the value of each of the following. i.…

A: Topic:- application of integration

Q: Q6. Identify the incorrect statement in the following: A. If e* = 2 then x = ln 2. B. If In x = 2…

A: Find your answer below

Q: The half-life of a radioactive substance is 11 days. After 3 days a sample of the substance has been…

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Q: 4. x = VI - i , y = t³ – 3t

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Q: Use the Divergence Theorem to find the flux of F(x, y, z) = z³ i –x³j+ y° k across the sphere x? +…

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Q: Evaluate the definite integral. Si f (æ) dæ, ƒ (x) =47–(7x³+ 13)/x?

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Q: The first step in solving the integral of tan(x)dx/[1-(tanx)^2] is by transforming the tan(x) In the…

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Q: After using Pythagorean identities to solve the integral of (sinx)^5*(cosx)^5, the next step would…

A: The given integral is; I=∫sinx5cosx5dx   We know that the Pythagoreans identity; sin2θ+cos2θ=1 The…

Q: 2. Evaluate the indefinite integrals. (a) fx² - 2e*dx (b) Evaluate (3-4x)¹5 dx

A: We have to evaluate the indefinite integral

Q: Suppose that a, b, and c are unknown constants such that f(x) = x² + ax + b and g(x) = e(3z–3) %3D…

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Q: Verify Green's Theorem by evaluating both integrals v² dx + x² dy = / / dA ax for the given path. C:…

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Q: 7) Determine the total area bounded between the function y = 1 – x between 1 and 1. -

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Q: In the integration of (cos y)^2 dy/(1 - sin y), what is the first step to solve the integral? Select…

A: Given integral.