If 2 a, is convergent with positive terms n=1 is it true that sin (a,) is also n=1 convergent? Explain

Q: if f(x)=(5+x4)1/4 what is (f(x))2

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Q: Let i denote the square root of-1. For the two complex numbers =3e and w= 6e find 2, w. Grve your…

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Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

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Q: What are intervals of concavity of the function f(x) = -2x' + 6x² – 3 ? a. Concave upward on (1, 0)…

A: Here we have to check the concavity of the graph.

Q: - %3D

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Q: The answer is not -900. Please give me the correct answer.

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Q: 4. Find the absolute extrema (abs. max and min) of f (x) = x2 - 8x - 1 on the interval [1, 10].

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Q: (i) What are the projections of the point (2, 3, 5) on the ry-, yz- and rz-planes? (ii) Write…

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Q: C. Find the derivative of each of the following functions using Differentiations Rule/Chain Rule. 1.…

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A: Given that a function f(x)= x2 + ax + b . And local maximum at point (17,-5) we find the value of a…

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

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Q: Uncover the function's average value. Given: f(x) = 7x + 9y; R is a triangle with vertices (0, 0),…

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Q: 3. Evaluate: lim -) X-0 sinx

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Q: Find the area bounded by the graphs of the indicated equations over the given interval.

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Q: Express the vector 4u + 5w in the form v = v,i+v½j+V3k if u = (3, - 2, 5) and w = (- 4, 5, – 4). 4u…

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Q: What will the domain be, could you state the domain?

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 63°C, it…

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Q: 7 n³+9 3 n=1 6 n³ + 1 %3D 8.

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Q: dx The integral of the given function S is equal to (x²–2x+4)ž а. 1/4 b. 1/5 с. 1/6 d. 1/3 e. None…

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Q: If a line is parallel to the vector 8i + 5j + 3k and passes through the point P = (6,2,4), then the…

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Q: Find the derivative of the function. Vs - 3 f(s) = Vs +3 %3D

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Q: Directions: Read carefully and solve for what is asked in each problem. ds 1. Given the velocity v =…

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Q: A bacteria culture starts with 1,200 bacteria. Two hours later there are 1,920 bacteria. Find an…

A: A bacteria culture starts with 1,200 bacteria. Two hours later there are 1,920 bacteria. To find an…

Q: If f(x) is integrable on [a, b] , then f(x) is continuous on [a, b] . O True O False

A: Given statement:If fx is integrable on a,b, then fx is continuous on a,b.We need to check the…

Q: 7-10 Evaluate the double integral. 7. y? dA, D= {(x, y) | –1< y< 1, -y – 2 < x < y} D y 8. dA,…

A: Let's find.

Q: 2x lim

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Q: Please show the right triangle

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Q: 5. f(x) = 2x + 3

A: First write the formula and then put all the values and simplify.

Q: dy Solve of y = e2-3+18 In(e2²-30+18 da A. y' e2z²-32+18 (8x3 – 18z² + 85x – 57) B. y' e2a2-3a+18…

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Q: After a person takes a pill, the drug contained in the pill is assimilated into the bloodstream.…

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Q: n lim >(sin (2mx;))Ax over [0,1] i=1

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Q: Question 3. Motion with Gravity: su Neglecting air resistance, the motion of an object moving…

A: Let's find.

Q: -1 Differentiate y = sin (sec(4x?)). %3D 82 tan(4a?) sec(422) A. y' 1-sec2 4r2 8æ tan(42²) sec(4x²)…

A: We will find the derivative of the given function in the following step.

Q: n lim (5(x;) – 3(x;)*)Ax over [0, 2] i=1

A: To convert this limit of sum as definite integral over given interval.

Q: solution

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Q: e definite integral o5 tan(x)dr using strips of width for the trapezium rule correct to three…

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Q: Please do help me with this calculus questions. Please. I need the correct letter of the answer and…

A: Here is the graph of the two parabolas. Green area is the intersection of two graphs.

Q: 9. y = csc csc (5x) 10. y = cot(6x)

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Q: Given the function G(x) = 3x2 + 2x -1, find the value G(a + 2). 3a 2 + 14a + 15 3a 2 + 2a + 15 5a +…

A: Given: Gx=3x2+2x-1.We need to find the value of Ga+2.

Q: (e) lim [p(x)]9(x) (d) lim [p(x)]^x) Xa INDETERMINATE Xa INDETERMINATE 9(x) (f) lim p(x) Xa

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Q: Finding Area by the Fundamental Theorem Find the area of the region. See Example 2. y = 7eX/3 2 -2 2…

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Q: ii. lim g(2) – 5 iii. lim g(x) 5 I--0 iv. g(0) — 5 v. lim g(x) →-17 vi. lim g(x) vii. lim g(x) PEN…

A: limx→a f(x) =L if and only if limx→a- f(x) =limx→a+ f(x) =L Note : As per our guidelines we can…

Q: 8 In what quadrant does the angle lie? 7pi/3 IV II I III

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Q: Calculate the value of (1 + 2i)² and then use this value to find the roots of z – z + (1 – i) = 0.…

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Q: Зx+2 11. Evaluate: S -dx. x3-x2-2x Solution:

A: To evaluate: ∫3x+2x3-x2-2xdx=∫3x+2x(x2-x-2)dx=∫3x+2x(x-2)(x+1)dx

Q: What are intervals of concavity of the function f(x) = -2x' + 6x² – 3 ? O a. Concave upward on (1,…

A: Given query is to find the the interval where function is concave upward and downward.

Q: The series 1 Σ 2 (-1) "-1. 00 n=1 1.8 is absolutely convergent. Select one: O True O False

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Q: Differentiate f (x) = 7 (2-60+3). A. f' (2) = a2-6x- 3 B. f' (x) = In(7)(2x–6)7™(=²-6z+3) x2-6x+3…

A: Differentiate f(x)

Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

A: The graph of the first and second derivative of the function y = fx is The statement is f is…