1) appropriate and explicit substitution: Reduce the following integrals to polynomial type integrals, using an a)fsin"(x)cos" (x) de b)[ tan"(x)sec³(x) dx

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

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Q: 4 z = lim f(x) y 1 2 3 4 2.

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Q: 28. 16(V1+x -1) lim

A: Topic = Limits

Q: DIFFERENTIAL EQUATION: Non-Homogenous Linear Differential Equation with Constant Coefficients # 6 on...

A: Follow the procedure given below.

Q: 22.) Find the slope of the tangent to the curve, y = 2x – x? + x³ at (0,2).

A: Basic derivative problem

Q: A particle moves along a straight line so that s = 3t^3 – 4t^2. Find the time (in secs) to attain ma...

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Q: using

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Q: PRACTICE #3 The graph of f (x) is given by 3 Determine the following limits. Write your answer in th...

A: Given query is to find indicated limit.

Q: Find the derivative. y=cos(ln 4x^6)

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Q: this subject is all about integral calculus.. please do help me with the image i uploaded... please ...

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Q: Consider the following sequence: {a,) = {n – n²} Sn=1 Use an+1 - An to show that the given sequence ...

A: Calculus   sequence 

Q: 1.which of the following is the inverse of f(x)=sqrt(x^2-4) a.f^-1(x)=sqrt(x^2-4);x≠4 b.f^-1(x)=x-...

A: Topic = Functions As per guidelines , At a time only one questions can be answered out of multiple q...

Q: Evaluate the indefinite integral. | sec²(v#) dx

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Q: lim,->a f (9 (x)) = f (lim,->a g (x)) O True if g is continuous O True if f is continuous

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Q: d²f , df_ (a) +5- - + 6f =0, f(0)=1, f(0) =- 4 dt? dt

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Q: Find equations of the tangent lines to the curve 2y² + xy – 3x² 8 at the point or points where x = 0...

A: The curve 2y2+xy-3x2=8 at the point where x=0

Q: Here is the graph of y = 2x – x². 2- 1- -5 -4 -3 2 3 4 y -1- -2- Find two possible functions f(x) an...

A: We need to find inverse function.

Q: Find f-(x, y, z) in the function f(x, y, z) = a?y*z + ay +? +1. %3D A. fa(x, Y, z) = 4x²y°z* + x %3D...

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Q: Find the profit function if cost and revenue are given by C(x)= 155+1.5x and R(x) = 7x-0.09x. The pr...

A: This is a basic calculus problem

Q: Plot P(2, -4, 1) and Q(0, 3, 4) on the same set of coordinate axes

A: Give query is to plot P(2, -4, 1) and Q(0, 3, 4) .

Q: The great Swiss mathematician Leonhard Euler sometimes reached incorrect conclusions in his pioneeri...

A: Euler deduce that 12=1-1+1-1+1-1+......and-1=1+2+4+8+......by substituing x=-1 and x=2 in the formul...

Q: an+1 Assume that an converges to p = 1. What can you say about the convergence of the given series? ...

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Q: す() ->a g(x) =0. +oo. Then lim- Suppose that lim,->a 9 (x) O True

A: Given :limx→a g(x)=+∞

Q: A. Ellipse B. Parabola C. Hyperbola

A: Given that: f(x, y)=9x2+4y2

Q: ах? + с, x < -2 a) Given f(x) = }bx + 8, - 2<x < 3, determine the values of a, b, and c if: -2c, x2 ...

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Q: cos x dr 4 sin x

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Q: The triangle needs to be solved. Round to nearest ten

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Q: Plot P(2, -4, 1) and Q(0, 3, 4) on the same set of coordinate axes

A: Given query is to plot the points in the same set of axis.

Q: Find 4 of 3xy –- x³ = 5 at (1, 2)

A: Given; 3xy-x3=5 at (1,2)

Q: lim 2 tan 2/ TC 2. 8IN

A: Solving the problem by finding the value of the limit.

Q: Calculate the integral. (Use symbolic notation and fractions where needed.) - sinh(15x) dx = +C

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Q: Error Analysis. Below is the solution (possibly, with errors) for the derivative of the given functi...

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Q: 1. Find the length of the curve r(t) = (sin 2t, cos 2t) from t 0 to t= 2n. CoS %3D

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

Q: O Atte Evaluate the limit. (Use symbolic notation and fractions where needed. Use the symbol co for ...

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Q: dz Find in the function xyz + 5xy = x² + y? + z? dy 2x – yz – x2 dy A. dz - - xy – 2z В. dz 2x – yz ...

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Q: Swond of tnow ite uoy soriit eri bno bemo =) ACTIVITY # 1 Determine if each statement is a prepositi...

A: A preposition is a statement which is either true or false but not both.

Q: Let g(x) = -1/x2. Evaluate lim g(x) x→0 by drawing its graph. a. ∞   b. 1    c. 0    d. -∞

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: ACTIVITY 1 onl Direction: solve and analyze each of the following problem in neat and orderly manner...

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Q: h3-4h 3. lim h-2 h3-2h2

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Q: Evaluate the improper integral. 9. 3x²e* dx (Express numbers in exact form. Use symbolic notation an...

A:     ∫-∞9 3x2ex=3·∫-∞9 x2exdx=3x2ex-∫ 2xexdx-∞9=3x2ex-2exx-ex-∞9=195e9

Q: Find the equation of the tangent line on x2 + sin y – ry? = 4 at (2, 0). |

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges....

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Q: Find the indefinite integral in each of the following. Show all necessary solutions. xdx 1. 3-2x-x2

A: Given that a integration and we solve this problem by using general property of integration.   We kn...

Q: Show that the coefficients of the given differential equation are homogeneous and solve the give dif...

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Q: sec® x dx cot x SE V

A: We can evaluate the given integral by using the substitution u= tan x and the following formulas. 1...

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

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Q: A company can sell x units of a product when the price is p = D(x) = 3.00 – 0.002x dollars. The tota...

A: Given , No of unit =x Price=p Also given P=D(x) =3.00-0.002x and C(x)=0.006x2+0.52x+270 Hence,    

Q: A water tank is in the shape of an inverted cone (the vertex of the cone is the bottom of the tank)....

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Q: Use substitution to find the Taylor series at x = 0 of the function 15 sin (-x). ... What is the gen...

A: This question is based on Taylor series expansion of sinx .

Q: Find the supplementary angle of 91.8°. The supplementary angle of 91.8° is °. (Type an integer (Туре...

A: We know that the sum of supplementary angles is 180°.