Choose the point which shows the correct location for the polar coordinate (3, 625*). so 90 WI2 4 Suepe -1 radian 2 radians. 120° 135

Q: dx is x V16x2-25 3.

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Q: Se° cosh@de

A: We have to find the integral

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A: We have to find out the largest area

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: Finding a pattern from the given terms.

Q: A theorem states that one local extremum implies absolute extremum. Verify that the following…

A: A(r)=12r+3πr2 , r&gt;0SupposeA'(r)=0(-1r2×12)+6πr=0-12+6πr3=0 ⇒r3=126π⇒r3=2π⇒r=2π3

Q: 19. Evaluate the given integral, ſe*1+ ex dx: A.(1 + e*) + c B. (1 + e*)} + e c. (1 + e*)* + D. (1+…

A: Evaluate the given integral,

Q: 1 (f) log16 VI +1= 4

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Q: Verify the identity by following the steps below. sin(x)cot(z) cos(x) 1) Write the left-hand side in…

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Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

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Q: Assume that x and y are both differentiable functions of t and are related by the equation…

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Q: valuate the limit 8x2 – 9x – 9 lim x→-o 7 – 7x – 10x2 E the limit does not exist enter DNE. imit =

A: We have to find limit

Q: 5. Find the length and width of a rectangle that has an area of 32 square feet and a minimum…

A: Given, area A=32 sq.ft Let, x be the length and y be the width. The formula for the area of a…

Q: a. What is a convergent sequence? Give two examples. b. What is a divergent sequence? Give two…

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Q: 1) Sketch the curve. a) r=-2 sin O Show All Work

A: Here we have to sketch the given curve.

Q: Determine dæ dy and of the parametric equations dy dæ? 1. x (t) = t2 – 4t and y (t) = 2t³ – 6t - -

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Q: The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: Given that rate of decay of radium is proportional to the amount present at that time.

Q: 2. Use the identity of inverse hyperbolic function to solve cosh-(2 – a2) = ln 2, for |æ| < 1.

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Q: Find the intersection of the line and plane: 2x + 4y – 3z = 19, r(t) = (-2, 1, –1) +t (1, –1,2)

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Q: dy Y – x dx y + x

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Q: Find the amplitude and period of the function. y = 3 + 1/2 cos(?x) amplitude=           period=…

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Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

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Q: Determine whether Rolle's Theorem applies to the following function on the given interval. If so,…

A: rolls theorem

Q: The cost of producing q units of good is C(q) 0.1q2 +3q+ 100 pesos. The firm can sell q units when…

A: This question can be solved using the concept of derivatives and rate of change of quantities.

Q: V3 a. Determine whether the Mean Value Theorem applies to the function f(x) = sin 'x on the interval…

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Q: Consider the transfer function: Y(s) s+2V3 H(s) X(s) s2+2s+8 What will be the stationary response…

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Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. (Use symbolic notation and…

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Q: (v2x+2Az+1)(v/2x+1)[/2x+I+v2x+2Az+1] (V2x+2Az+1)(v2x+1)[/2x+I/2x+2Ar+1] -3…

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Q: A poster is to have an area of 240 in2 with 1 inch margins at the bottom and sides and a 2 inch…

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Q: x' +6x, |2x-4 , x<a Find all values of a such that the function, g(x)=- is continuous xz a…

A: The objective of the question is evaluate the value for which given function is continuous…

Q: sẽ the point which shows the correct location for the polar coordinate (-2, 180°). 90° 2 4/2 135° 7…

A: point (-2,180) here -2 show radius of circle  180 is angle with x axis here one circle is 1 unit…

Q: To begin evaluating S sin*(x) · cos³(x)dx, express a. sin*x to (sin²x)²and use the identity sin²x…

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Q: x²+6x , |2x-4 , x<a Find all values of a such that the function, g(x)= is continuous xz a…

A: g(x) is continuous everywhere if it is continuous at x=a as…

Q: 2. Find the value of o(2) for a solution o(x) to the initial value problem: y" + 4y' + 4y = 2x + 6;…

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Q: Ln (sin? (D-C)x) Using first principle find derivative of f(x) xD-C

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Q: Use calculus to find the absolute maximum value and the absolute minimum value, if any, of the…

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Q: Evaluate the integral. 12 – 0.025x dx - 6 12 - 0.025x dx = - 6 (Type an integer or decimal rounded…

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Q: For the function f(x) cos(x) identify asymptotic behavior and then sketch a graph of the function…

A: According to company rule we can answer only first question and rest can be reposted.

Q: cot'x csc'xdx 4.

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Q: 3. Give the parametric and symmetric equations of the line that passes through he point (4, –3, 5)…

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Q: 3. S: (х2+2)2 dx

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Q: Biologists stocked a lake with 240 fish and estimated the carrying capacity (the maximal population…

A: Given: Biologists stocked a lake with 240 fish. The carrying capacity (the maximal population for…

Q: 0 100 1 1 0 0 0 0 Consider the following adjacency matrix: A = 0 0 1 2 |. Which of 0 0 1 0 1 1 0 1 1…

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Q: Write the integral in terms of u and du. Then evaluate. (8x + 19)-2 dx, u = 8x + 19 (Use symbolic…

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Q: 7-Vx2+49 lim X→0

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Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

A: Given query is to find average cost and marginal cost.

Q: dx 4. S x²+4x+13

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Q: 2. Find the absolute maximum and minimum values of the function f (x) = - on the closed interval -2…

A: We need to find absolute max and min value in given interval.

Q: Evaluate the limit. Leave results in exact form. V9 + 7r2 lim 11 + 3x

A: This question is based on limits of inf/inf form.

Q: 8. A 5-gallon bucket is full of pure water. Suppose we begin dumping salt into the bucket at a rate…

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