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Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). A(3-7) sin(2u) = cos(2u) =…

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Q: Use the above formula to write each of the following limits as an integra (a) (b) lim n00 j=1 n2 +nj…

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Q: Pls solve a and b

A: Topic:- inverse Laplace transform

Q: (a) Suppose f is a function with domain the interval (a, b) with a < b. If f is an even function,…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: sech 2t dt Evaluate 3, coth 2t

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Q: Obtain the general solution unless otherwise instructed d²y 1. dx2 - y = 10sin²x

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 1. In a study of Laguna State Polytechnic University students, 55 had taken Mathematics subject, 105…

A: We need to solve by using Venn diagram. NOTE - As per Bartleby's guidelines we can solve one…

Q: 31) Find a company's total-cost function if its marginal cost function is C'(x)=5x2-7x+4 and C(6)=…

A: Marginal cost function of a company is given is , C'(x) = 5x2 - 7x + 4  Also C(6) = 260 We have to…

Q: Use either integration by substitution or integration by parts as needed to evaluate x²+1 B A x3+…

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Q: 3. Consider the curve given by y2 = 4xy +1. %3D dy A. Find dx B. Find all points on the curve where…

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Q: 6 Evaluate the limits lim: X+ co X 6.

A: Topic:-   limits and continuity

Q: 12. r + 2y? + 20 = 0 (A) not a function (C) function; domain: (0, 00) (B) function; domain: R (D)…

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Q: Evaluate the function at the given value of the independent variable. Simplify the results. (If an…

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Q: Use the Alternating Series Test to determine whether the alternating series converges or diverges.…

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Q: 1 .! Determine if the vectors 0 and 1 span R³. -2 3 Can these three vectors form a basis for R.

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Q: Find two positive angles and two negative angles that are coterminal with the given angle and less…

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Q: dy da = y+ Vx² – y? O y = x cos(ln|æ|+ C) O y = x sin(n|x| + C) sin-1 (를)-In|미=C coS-1 (2) -Inl피 =C

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Q: It is possible to find a value for a so that the series 1 + n° na+1 n=1 is convergent. Select one:…

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Q: Evaluate the summation 7-i. 22 25 18

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Q: Implicit Curves a Consider the 2 implicitly-defined curves 5y - 2a + y - a?y = 0 and 2y + 5æ + a -…

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Q: workshop grinding at 13.2 ra switch off. Assume the whell constant decceleration n

A: Please refer to the image below

Q: Evaluate the integrals in the following questions using integration by parts for In (x + x²) dx

A: Given ∫ln(x+x2) dxTo evaluate the integral using Byparts rule:

Q: where R io the region inside the cree Evalate in poar coordinato the integrad:

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Q: is no solution for p

A: D.

Q: Vx2 – 2x – 3x 4. lim 4х + 5 I -00

A: Answer Number (4):  To evaluate the given limit without using L'Hospital's rule.limx→-∞x2-2x-3x4x+5

Q: csc² 20 cot 20 de

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Q: Sketch the graph of a function f with domain [1, 5] satisfying all the following conditions: •…

A: This question can be solved by the concept of nature of graphs.

Q: Se" cos 2t dt ,7L

A: integration.

Q: Find the following for the vectors u= 10i – 8j + V5k and v= - 10i + 8j- /5k. a. v•u, lv], and Ju| b.…

A: This is a problem related to vector's dot product. Based on the general formula and concept we will…

Q: Sco cos 3x cos 4x dx :

A: Use simple integration formula.

Q: dz Suppose z is a function of r and y, and csc Vr2 + yz = zesin z. Solve for dz and dy

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Q: 2t dt 8. (1²+2)°

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Q: Find the solution of each inequality in the interval [0, 277). (Enter your answers using interval…

A: a)sin(x)≥0.5first and second quadrant:x≥π6, x≤π-π6[π6,5π6]b)cos(x)≤-0.5second and third…

Q: O2/ Find all Max. Mn. Saddle point for the function Lelowr lay) = 2xy-5x-2y" + AX+4y-4 %3D

A: Maximum , Minimum and saddle points for f(x ,y) :   For critical points , fx(x,y) =0 = fy(x,y) (say)…

Q: |16 sin?x cos?x dx

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Q: Use the Alternating Series Test to determine whether the alte S(-1)k+1_ k 7k + 8 00 k k = 1 Identify…

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Q: Work Problem 3 ' a) Determine whether the series is convergent or n3 + 4n + 5 n=1 divergent. b)…

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Q: 1) Find the volume of the solid under the surface z = 2x + y and above the region bounded by y = x°…

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Q: xe dy + *+1 dx = 0 ㅇ (1- y) e" + 빨고 =C O (y – 1) ev + + In a = C 2 O - (y + 1) ev - + In r = C O 2y…

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Q: 3. Vsech 2t Evaluate dt 3. coth 2t

A: Application of integration

Q: 1. Find the determinant of the given matrix. 1 0 4 -6 2 5 3 -1 2 3 2 1 -2 31 det A

A: Given :A=104-62503-123521-23

Q: 2) Find the volume of the solid under the plane z = 3x +y and above the region determined by y = x'…

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Q: Problem #6: Find the equation of the line tangent to f(x) cos? x – sin? ( at x =

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Q: Find a formula for the general term a, {5, 8, 11, 14, 17, .} 5n + 3 On+3 O 3n + 2 O 2n + 3

A: We can answer the question as below

Q: 8^(4x-12)=4000000

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Q: Find the Taylor series generated by f at x = a. f(x) = e*, a = 10 i e10 (x - 10)n+1 n! n=0 e10 (x -…

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Q: Evaluate the integrals in the following questions using integration by parts for In (x + x²) dx

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Q: Find & l or In the direction of the given vector. 19) 14 B) 2/3 2/3113 2/3 2/3113 2/92/9 119

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Q: Let C(x) be the cost, in dollars, to produce x gallons of gelato. What is the meaning of C'(5) = 4.5…

A: Given, C(x) is the cost in dollars. x is the gallons of gelato.

Q: Evaluate the difference quotient fla + h) - fla) for the function 7+ 3x . f(x)= 4

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