Find the following limit. Answer as a fraction or integer (no decimals.) x +4x- 12 lim x+2 4

Q: 5. A Ferris wheel has a radius of 20m and takes 2.5 minutes to rotate once. a) How far does a rider…

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Q: 5. The cost C (in dollars) of producing x units of a product is given by the following. C= 3Vx + 400…

A: Use derivative for finding the marginal cost .

Q: Given the geometric sequence 33, 44/5, 176/75 find an explicit formula for an and find a12 please…

A: Given GP is 33,44/5,176/75 We have to find the explicit formula for an and then have to find a12.

Q: A particle moves with position function s = t4 - 4t3 - 8t2 + 25t, t2 0 (a) At what time does the…

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Q: 6. Two triangles can be formed using the given measurements. The other measurements of the triangle…

A: For other triangle m∠B=180-55.092=124.908°m∠C=180-124.908-41=14.092

Q: 4. Determine the equation of the plane passing through the point (1, –4, 3) and parallel to x – y…

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Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: sum of number is 23 let a number = x  other number is 23 - x

Q: 1 1. lim x-0+x e*

A: Given: limx→0+1x-1ex-1   So, simply we can write as; limx→0+1x-1ex-1=limx→0+ex-1-xxex-1

Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

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Q: Find the number(s) b such that the average value of f(x) = 6x2 42x + 70 %3D on the interval (0, 6 is…

A: Integration application

Q: Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. f the limit…

A: Given query is to find the limit nof the expression.

Q: a²z For each of the following functions z, find a²z a²z and ду? дх2 дудх' дхду 2. z= sin3x cos4y

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Q: 1. When do find a volume by the slic (a) A type I region rotated abou (b) A type I region rotated…

A: Given question:- When do find a volume by the slicing method? Circle all that apply.

Q: Determine the nth term for a sequence whose first five terms are 2 8 26 80 242 2' 6 24 120 and then…

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Q: Write down the gradient of the straight line represented by the equation y = −0.05t + 47. What does…

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Q: Suppose that f(æ, y) f(x, y) in the directional (1, – 1) and at the point = xy. The directional…

A: Here, the given function is: f(x,y)=xy So, ∇f=∂f∂x,∂f∂y⇒∇f=y,x⇒∇f(4,-3)=-3,4

Q: ven the function f(x) = -x* – 4x termine its critical points and assify then, determine the point(s)…

A: Topic:- calculus

Q: Determine the inverse Laplace transforms of: 2s²-5s-1 (a) (s+3)(s²+9)

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Q: dz f1-42-223)2 3 4[3-2(2+パ) a. In 3+ JE (z+1)/ J3-2(241=+C 3-4,(2+)? 3 b. 4[3-2(2+1=)] C-A(24)?…

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Q: Question 1 Compute v31.6 approximately by use of differentials. O 1.995 O (E) None of the choices O…

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Q: Let u = 7i- 3j, v= i-j, and w= i+j. Find scalars a and b such that u = av + bw. a = b=

A: We will find a and b

Q: Determine the antiderivatives of the following functions: 1. V1-4x² dx 12 2. 1+9x² dx 3. 4+(x-3)² dx

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Q: 3 Σ n(n + 1) n= 1 The first partial sum is S, = (Type an integer or decimal rounded to four decimal…

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Q: 1. lim (6x + 1)cotx

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Q: Find the velocity and acceleration vectors in terms of u, and ug. de r= a cos 20 and 5t, where a is…

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Q: Determine if there are zero, one, or two triangles for the following: m ZA = 48° a = 10 m

A: Given:∠A=48°a=10b=12

Q: Find the third Taylor polynomial for f(x) = sin(2x), expanded about c = n/6. %3D

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Q: x-6 Let f(x) = Use the properties of limits to find the indicated limits, if they exist. x -6x (A)…

A: Given: f(x)=x-6x2-6x

Q: 1 dx, if possible. State whether the integral converges or diverges. 4

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Q: 2x determine the derivative of f(x) = 3 X

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Q: Find aly if and of to

A: Differentiation

Q: The circumference of a sphere was determined as 84 cm with a possible error of 0.5 cm. Estimate the…

A: We will use the formulae of circumference and volume of sphere to solve this question.

Q: A. For each of the following functions z, find and dx ду 1. z= sin3x cos4y 2. z = tan- 1 (2) 3. yz +…

A: 1). Given: z=sin3xcos4y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x…

Q: Find an implicit and an explicit solution of the given initial-value problem. dy y – 1 dx x? - 1'…

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Q: Describe the long run behavior of f(t) = 5t° – 5t% – 2t + 4 - - As t → 0, f(t) → ? v As t → 0, f(t)…

A: If degree of the polynomial f(x) is odd and leading coefficient is positive , then…

Q: Given the triangle 13 find the length of side x using the Law of Cosines. Round your final answer…

A: This question is related to Triangles, we will solve it using given information.

Q: Analysis 3: Based on the design of the antennas, the Standard Absorption Rate (SAR) of RF power by…

A: Concept: The Trapezoidal Rule: Consider the continuous function f(x) on the interval [a, b]. Divide…

Q: dy as a function of x. dx Write the following function in the form y = f(u) and u = g(x). Then find…

A: Given query is to find the derivative of the expression.

Q: [6]. Consider the following set of parametric equations: x = r° - 3t y = 312 – 9 On which intervals…

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Q: i need the answer quickly

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Q: Determine whether each sequence having the given nth term is monotonic. a. a, = 3+ (-1)"

A: If {an} is an increasing sequence or {an} is a decreasing sequence we call it monotonic If a…

Q: 27. f(1) = 1 + e*" 28. f(1) = r² - eW + 5 29. f(1) = (1 + e?)2 30. f(1) = (e' – e")? 31. f(1) = 412…

A: Given÷

Q: Q2. Do as required 3. Evaluate: lim (-) X0 sinx

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Q: x-16 x'+8 The function f(x)=D- has derivatives f'(x)= 48 and f"(x)=- 10 (d) Determine the intervals…

A: Given problem:-

Q: Find the following for the vectors u = 6i + 3j + /2k and v = - 6i – 3j – /2k. a. v•u, Įv], and Ju|…

A: We will solve the problem on vector dot product and projection.

Q: Q.1) The general solution of the equation y e' cosA a) y(t) =c, +c; x +c,¢ ' de' cosa Re' sinx b) y…

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Q: 32 Suppose that f(x, y) = x°y². The directional derivative of f(x, y) in the directional (1, 2) and…

A: Given problem:- Suppose that f(x, y) = x3 y2 . The directional derivative of f(x, y) in the…

Q: Change the following polar equations to rec 6. 12. r = 4-cose

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Q: 100 dx 4.

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Q: a) 12 Q.7) To write the power series £=3 4m as the form -4m a) m - 1 we must shift m to become : d)…

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