- If g(x) 1 dt , find g'(2). 4 +t

Q: What is the number halfway between 3 - 1/3 and 2 + 5/7 ?

A: Average

Q: Determine the area between the functions on the interval [-2, 0]. y = x^2 + 2 and y = 3x + 6 24.67…

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Q: Find g'(3) given that f(3) = -2, f'(3) = 4 , and g(x) = . 2x+1_ f(x) * Answer:

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Q: Find absolute maximum & absolute minimum f define on C0, 2]

A: maxima minima

Q: if x 2 valuate each of the following, if it exists. (If an answer does not exist, enter DNE.) lim…

A: Solution of given question is written in below steps.

Q: Evaluate the definite integral. i+ej+tk)dt O es - 1 -- (-~" - 1) + 5 O es i- e- 5 O es i + (e- - 1)…

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Q: Determine a, and as for each arithmetic sequence. See Examples 3 and 4. 29,. 24. -3, -7, -11,... 25.…

A: Since, the student has mentioned to solve only question number 24, so we are solving accordingly…

Q: Evaluate the function at the indicated value of x =1. f(x)=loggx 8 -8 - 1011 8 0

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Q: 2. In the expansion of (2x + 3y)(4y – 3x) the xy term is : А. — ху В. + xy С. 8ху D. -9ху

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Q: 3. A container in the shape of a (right) cylindrical can with an open top of volume 87 cm³ is to be…

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Q: 5. J sinx cos²x dx V1 − cosx -

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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: If q'(t) is the growth rate of a population of a fish population in fish per month, what does…

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Q: Find the arc length of the parametric curve. = 4 cos(t), y = 4 sin(t), z = 3t; 0<t<T %3D

A: Use arc length formula

Q: Calculate r1(t) · r2(t)] and (ri(t) × r2(t)] first by differentiating dt the product directly and…

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Q: The Taylor series for cos(x) centered at x = 0 is given by: (-1) 2n (2n)! n=0 Using this result,…

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Q: You are taking a multiple choice test that has 10 questions. Each question has 7 answer choices with…

A: A multiple choice test that has 10 questions. Each question has 7 answer choices with one correct…

Q: Find the derivative of the function. f(x) = (5x + 7)³ (06² +00) ² f1(x)

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Q: The Maclaurin series expansion for the function f(x)=(1+x)² is Σ(-3)"x" Σ(-1)"x" This option…

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Q: lim (- 3" n→+00

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Q: Find the extreme values of on [-2,2]. f(x) = Sre™, x 0

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Q: 1 I²+1 Estimate the area under the graph of f(x) = = rectangles and right endpoints. Rn = Repeat the…

A: The Right end point approximation formula is: ∫abf(x)dx=∆xf(x1)+f(x2)+f(x3)+...+f(xn) Divide…

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.

Q: Determine the positive and negative intervals of the polynomial function P (x) = x(x − 2)(x + 2)(x +…

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Q: B. Identify the function, whose derivative is defined below: dy = lim (x + h)? – x? dx h→0 h А. f(x)…

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Q: An employee invests £1000 at the end of each month into her Pension Fund for 30 years. What is the…

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

A: To find the equation of family of curves whose slope is given .

Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 3).

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Q: Evaluate the definite integral. Si f (x) dæ, f (x) =4"-(7a+ 13)/a?

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Q: y? = x and y2 = 2 – x %3D

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Q: [3 – 5i 2+41. L6 + 7i 1+8i! find the conjugate of its transpose. Given A =

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: A. Evaluate the integral of the follo x+4 1. dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 6) Determine the equation of the tangent line to y = x/x when %3D x = 4.

A: Equation of tangent line

Q: Find the indefınite integral and check the result by differentiation. Find the antiderivative whose…

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Q: . Find an equation for the surface area of the rectangular box. =(x, y) dy = . If the surface area…

A: We will solve the surface area problem.

Q: The car you are interested in has 16 color options, 3 engine choices, and 6 entertainment system…

A: Given ,  The car you are interested in has 16 color options , 3 engine choices , and 6 entertainment…

Q: QUESTION 9 Eliminate the parameter to find a Cartesian equation of the curve. x = e²¹ - 1, y = 4f

A: Given that    x = e2t - 1  ,  y = e4t  We have to find the cartesian equation of the curve to…

Q: Write the integral in terms of u and du. Then evaluate. u = 812 + 1 (Use symbolic notation and…

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Q: 1. Evaluate the Riemann sum for f (x) = x² , 1 < x < 3, with three subintervals, using left…

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Q: Q8/ A tank contains 100 gal of fresh water. A solution containing 1 lb/gal of soluble lawn…

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Q: Use any method to determine whether the series converges or diverges. √k k³+27 The series diverges.…

A: Given query is to find series converges or diverges.

Q: Evaluate F. dr along the curve C if F(x, y) = (x² + y²)¯²(xi+ yj), and C : r(t) = e' sin ti+ e cos…

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Q: Q1. Which of these expressions is NOT factorised? А. X(х + 1)(х + 2) В. (х+ 1)(х+2) С. x (х + у) —…

A: Solving the problem by finding the correct answer.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Find the arc length L of the graph of r(t). r(1) = t³ i+ t j+V6r? k, 2 <t< 5 k, 2 <t < 5 L = i

A: Given : r(t) = t3 i + t j + √6 t2/2 k 2 ≤ t ≤ 5 Now, r'(t) = 3t2 i + j + √6 t k Arc Length :

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: dy for each of the following: (2 p dx 5. Find (a) y=|(cost+e' – sint+3t³ )dt 3. csin x (b) y = (t2 +…

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

A: A sequence &lt;an&gt; is converges if limn→∞ an is finite and exists.

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: Find the centroid of the region bounded by the set of curves y = 2x? + 10 ,y = 4x + 16 ,x =-2,and x…

A: Given