Evaluate the indefinite integral sin (t)cos (t)dt

Q: Find the critical points of the function f(x,y)=x^(4) + y^(4) − 144xy

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Q: Test the series below for convergence using the Ratio Test. 00 n5 0.8" n=1 The limit of the ratio te...

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Q: 4.Sin3x-sinx CoS X S Sinx(Sin?x-)) Sini(sinni1). Sin ?x. tanx (sin zx -1) $in=t1 COS tan-o

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Q: How will you know if a function increases and decreases and how will you locate the maximum and mini...

A: Let y = f(x) be any function given   

Q: Calculate the derivative of the following function. y = (csc x+ cot x) dy dx II

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Q: Find the total area of the shaded regions. The area is (Simplify your answer.) Ay 6- +2,4) 4 (2,4) j...

A: Here,, the region is bounded by the curve y=x4-3x2 & y=x2 Now, the area bounded in the first-fou...

Q: Test the series below for convergence using the Root Test. 3n 10n + 4 n=1

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Q: What is the coefficient of xk in 1+x+x4 divided by (1-x)5 ?

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Q: Let u = (-2, -2), v = (-5, O (0, 2) (-1, -3) O (-7, -5) O (-3, -1)

A: Vector, a quantity that has both direction and magnitude.

Q: Evaluate O xy°dx + x²dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

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Q: Write out the form of the partial fraction decomposition of the function: (x^4-2x^3+x^2+4x-1)/(x^2-2...

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Q: 17. Find limx cos (4) using Squeeze Theorem. x-0

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Q: a. Calculate the value of the slope of Y = - 2 X4 + x -3- 2X -2 + 5 at X = -2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: 10. Prove that lim x2 = 4 using the epsilon-delta definition of a limit. %3D X-2

A: limx→2x2=4

Q: Create your own examples. Formulate one given 4x4 equation (4 equations and 4 unknowns). Solve each ...

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Q: 24. Find the limit using the L'Hospital's Rule. a) lim x+0 (e2k-1) Inx b) lim X+0o x

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Q: 11. Use the definition of the limit of a function to prove that lim g(x) =- 6 if %3D (16x²-9 4x +3 3...

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Q: 3. The chemists say that between 0 C and 30 C, the volume V (in cubic cm) of 1 kg of water at temper...

A: The temperature at which water has minimum volume is T = 3.967°C

Q: 8. A company is increasing production of oven mitts at the rate of 4 per day. All oven mitts that ar...

A: Revenue function , R (x) = x P(x) Where P is the demand function  and x is the  price per unit.

Q: Create a question covering the following topics; 1. Inequality( quadratic) 2. Equation ( cubic usi...

A: Inequality is a mathematical expression that compares the algebraic terms by using less than or grea...

Q: 5. y = Je' dt %3D

A: Solution: 5. y=∫0x2et3dt

Q: Write out the form of the partial fraction decomposition of the function: (x^2)/x^2+x+6

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Q: Determine the maximum curvature for the graph of ​f(x)=5ln(8x).

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Q: 4. Evaluate each of the following. (1) E6+3. 2 &x (Recall that k = k2+k. You should have H, in your ...

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Q: O Find the linearization Lcx) for fex) 3x -8x+7 when a=

A: We will find the linearization L(x) for the given f(x)=3x2-8x+7 when a=-2 in the following step.

Q: Considering only the values of 0 for which csc 0(1+ cos 0)(1 – cos 0) is defined, which of the follo...

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Q: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

A: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

Q: Find the derivative of the trigonometric function. cot(x) f(x) sin(x) f'(x) = Need Help? Read It Wat...

A: Given that       f(x) = cot(x)/sin(x) 

Q: 19. Differentiate the following functions. g) y = 2 h) y = xsin-1x+ V1- x2

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Q: If z = eax+by az then a az is ay

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

Q: Consider the following. cos(x) + Vỹ = 3 (a) Find y' by implicit differentiation. y'= (b) Solve the e...

A: We have to find y' by different method as p[er given in question.

Q: Write a chain rule formula for the following derivative. for w = f(p, q); p = g(x, y), q = h(x, y) O...

A: We have to find the derivative

Q: Determine the general solution for each given higher order differential equation or particular solut...

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Q: Dicp J. Draw simooth line through the above Homework: Draw the following functions: 2. x +y = 1 4. x...

A: Since you have asked multiple question, we will solve the first question for you. If youwant any spe...

Q: 6 If a particle's position is given by r (t) =<t,22 COst, sint7 find the velocit acceleration and sp...

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Q: dw at t = 4 for the function w(x, y) = e y - In x; x = t 2, y = Int. Evaluate dt O 1 2

A: Given that       w(x,y) = ey - ln x         x = t2 ,  y = ln t 

Q: 3. Consider the function f (x) = x³ +5. Find a formula for the inverse function. Show clear, organiz...

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Q: [3 – x2, – 1< x < 2 20. If f(x) discuss its continuity and differentiability. %3D 2x – 4, 2 <x< 4

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Q: In the 2000 U.S. Census, a small city had a population of 55,000. By 2010, the population had reache...

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Q: The point P (2,3) lies on the ellipse 8a² + 2y² = c. Determine the value of c and write the point-sl...

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Q: On the graph of f(x) = cot x and the interval [27, 47), for what value of x does the graph cross the...

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Q: 4. Evaluatelim X-1 Show your complete x-1 solution.

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Q: 8. The cost of producing x ounces of gold from a new gold mine is C = f(x) dollars. a) What does f'(...

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Q: Question 2 Use the table below to evaluate the derivatives below. xf(x) f′(x) g(x) g′(x) h(x) h′(x) ...

A: According to the guidelines issued by the company we are supposed to solve only first three subparts...

Q: Find the derivative of y = sech ILe-x)

A: Topic:- derivatives

Q: 1. Consider the function fx3x+2, -x-6, x>0x<0. Use table of values to find the limit of the followin...

A: The given function,  f(x)=x+2,x&gt;0-x-6,x&lt;0

Q: Solve the given differential equation (3x-3y-2) da – (x – y+ 1) dy = 0 %3D | |

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Q: 2 In x+1 3. S dx x In?x+x In x

A: The given integral is; (2lnx +1)/(xln2x+xlnx). Repost the next question.

Q: If g = 2430°, simplify the expression sin(sin g). If undefined, enter Ø. Provide your answer below:

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Q: 14. Evaluate the following limits. (3-x+x2, 5x+1Y e) lim 2x y-0+ 5x-7 lim 2 f) X0o ( 3x2 x sin x lim...

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