1 4lnr Evaluate: | (A +C - 2(r5 – 3) +C 2(,5 – 3) 2 +C 15 4lnr 4

Q: sin 4x What is lim X-0

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Q: Determine if the sequence {a,} converges or diverges. Find the limit if the sequence converges. (- 1...

A: Here we have to determine whether the sequence {an} converges or diverges.

Q: dx 1+ x2/3

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Q: Given that f(x) = 5x° + x³ + 2, find the derivative of f- by using dy che formula d.x 1 Check dx you...

A: To find: The derivative of inverse of f(x)=5x5+x3+2 by the formula dydx=1dxdy. Calculation: Find the...

Q: Let the demand function for a product be given by the function D(q) = – 1.55g + 300, where q is the ...

A: The demand function is: D(q)=-1.55q+300 where q is the quantity of items in demand and D(q) is the p...

Q: Let F = (6e", 5 sin(x), 8 cos(x)). Calculate div(F) and curl(F). (Use symbolic notation and fraction...

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Q: S sinrdr In(cosr – 3) ° cosr -3

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Q: A5.5-foot-tall woman walks at 4 ft/s toward a street light that is 16,5 ft above the ground, What is...

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Q: Question / Iil Use the defination of improper integray to define 1. dox 1.2 use your defination in H...

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Q: dy A-Find of the following: dx tan(5u) (1 + 2u)³ , u x. sin(x).csc(x) y = U = e4u

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Q: f(x) = 3x + 8 f(x) = - 2 *= 2 f(x) = -x? + 3x +9 x= -6

A: As per our guideline we are supposed to be answer only three subpart of question you can repost othe...

Q: 6t dt = 3a? %3D Select one: O True O False

A: topic - definite integral

Q: An exponential function f(x)= ab^x passes through the points (0,3) and (2,12). What are the values o...

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Q: Select ALL possible answers. Which of the following is lare NOT true of the function f (x) whose gra...

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Q: Find the f and fy of f(x, y) 2x'y+ x sin y O If f(x, y) = x'y - xy, find + av O If v = sin- (2) + ta...

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Q: e(2e" – 1)dx 6x 3x A 2e - 1 B 2e 6i – e 3u © (e"-2)+ (e" + 1)4 E F None

A: This is a problem of integration. First here we will assume e^3x = t and then we will use general fo...

Q: :-'In²(Ine*)dx A In?x В Inx C Ine* D) Inx2 E None

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified l...

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Q: After t days of advertisements for a new laundry detergent, the proportion of shoppers in a town who...

A: I am attaching image so that you understand each and every step.  

Q: The polar coordinates of a point are given. Plot the point. (2, x/2) y

A: Given,           The polar coordinates of a point is 2,π2.To find : The corresponding rectangular co...

Q: -5 1 -2 0 3 4 12 -1 3 B| Find AB for : A = |1 B = 5 4

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Q: Find the shortest distance from the point (2,0, –3) to the plane x + y + z = 1.

A: This is a problem related to geometry part. Based on the concept of plane and point we will find the...

Q: e" dx Find (ez +3)(e –5) Find S In(x)x²dx.

A: The first question can be solved using the concept of partial fraction and the second question can b...

Q: - In²(Ine*) dx A In²x B B Inr Ine D Inx2 E) None

A: topic - definite integral

Q: A manufacturer spends z thousand pesos on labor and capital. The number of units of labor obtained b...

A: We need to interpret the problem for given data.

Q: 2x + 6 Consider the function f(x) = For this function there are two important intervals: (– 0, A | 6...

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Q: A-f cos (x)sin³(x)dx e*cosh (3x) В- -dx cosh(x)+sinh(x)

A: ∫cos5xsin3xdx  

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. Зд 2 = sin...

A: topic - sequence and series

Q: 'ind the average rate of change of h(t) = 3 c on t-3 [1,1+ h]

A: Topic:- calculus

Q: Let m and n be positive integers and a+ 0. Using partial integrals, show that 1 x"ea# dx = -x"eª* n ...

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Q: ex Evaluate 1 + e A arc sin e^x + C B arc tan e^x+c arc cot e^x +c

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Q: 31 'dt = +C 3lnz A True B False

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Q: The population of Hungary1 has been modeled by P=9.919(0.998)t, where P is in millions and t is i...

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Q: Which of the following is/are true of f (x) = x²(x + 3)²? %3D

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Q: 3.) Construct a truth table for the compound statement. a) pA (p-q) b) (q - -p) A-q T. T. F F c) Are...

A: The detailed solution is given below Thank you 

Q: Q4:A/ Find the length of an arc of the curve y = (1/6) x + (1/2) x from x = 1 to x = 2.

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: Calculate div(F) and curl(F). F = (y, 4z, x) (Give an exact answer. Use symbolic notation and fracti...

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Q: Express the general solution of the given differential equation on the interval (0, 0) in terms of B...

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Q: Find the volume of the described solid S. The solid S is bounded by circles that are perpendicular t...

A: Given

Q: Let y = - ty + 0.ly and y(0) = 0.77. Use Euler's method to find approximate values of the solution o...

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Q: dy Given that y = x² log2(6 – 5x), find dx

A: This question can be solved using product rule of derivative.

Q: 1. If {an} converges, then {an} converges (C). An+1 Suppose that limn→ 00 1n|= . Then E1 n2"a, conve...

A: We have to determine whether,  1. If {an}  converges, then {an2} converges. True /false? And  2. If ...

Q: 3lnx +2x4 A 3lnx B D 3lnx+ 2x+ E None

A: First we simplfy given expression using am+n=am.an and then put 2x4=u and differentiate both sides w...

Q: Evaluate the improper integral. (Hint: use the formula: S- dr = sin- +c)

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function f (x, y, z) = 2x + 2...

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Q: Given the function f(x) = x?e%z, Determine the open interval(s) where the function is concave up Det...

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Q: csc5x cot5x dx A csc 5x B -csc5x 3 -csc5x 3 D csc5x E None

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Q: Set up an integral that represents the arc length of the function y = 4a4 + 5x from the point (0,0) ...

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Q: Q2: Use Cramer's Rule to solve the system:- 4х — у +z%3D-5 2x + 2y + 3z = 10 5х — 2у + 6z 3 1

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: tan(tan3x)dx Evaluate: cos-3x -In |sec (tan3x)| + C (B ® - in [cos(tan3x)| + C © - sin( tan3x)| + c ...

A: We need to evaluate the following integral I = ∫tantan3xcos23xdx                            ...........