Use the error estimate for alternating series to find the minimum number of terms required to 10-4: (-1)" (2n + 1)3 * make sure the remainder is less than T=1

Q: Q2 a. Solve the nonhomogeneous differential equation: y" -5y" -6y' = 3e2*

A: The given differential equation is : y"'-5y''-6y'=3e2x. Repost the next part. 

Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = = +4 A =

A: We have to find the area of the shaded region of the figure given below.  Cleary the shaded region ...

Q: The given point P is loc the angle e, also sine, V3 1) P Quad: sin 0: cos e: tan 0:

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: Which of the following functions form a particular solution of the differential equation y"+y = sinx...

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Q: Evaluate the integral. de +C VI- 25 NOTE: Enter the fully simplified answer with no fractions under ...

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Q: . Consider the function whose graph is shown below. Determine if the function is continuous at the f...

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Q: Find the total area enclosed between y = x and y = x over the interval [-1, 8]. NOTE: Enter the exac...

A: This question is based on application of integration.

Q: Question 8 of 8 Use the fact that the volume of a tetrahedron with adjacent edges given by the vecto...

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Q: In exercises 1-23 solve the given differential equations: dy 1. = sin 5x %3D dx 2. etdy dx = 2x dy 3...

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Q: Find a function y(x) such that 5yy' = x and y(5) = 8. y =

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i 14j as ad...

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Q: The sum of the entries in row 10 of Pascal's Triangle is: O 211 O 102 210 10 acer

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Q: 3. Use the following table of values to draw the graph of cos x to determine the lim cos x. X f(x) x...

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Q: Partial Derivative Let w = exz sin(yz) – ev²cos (xz) Find wx. %3D - Higher Derivatives Let z = (x – ...

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Q: Sa² -6x +1, a < 6 7-x, x26 Evaluate the following limits for h(x): and Justify your answer. (i) lim ...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: Find the global maximum of the function f (x) 2x³ + 3x? – 12x + 4 - on the interval [-4,2].

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Q: Evaluate the given definite integral by any applicable method. * 10. 1dx 32 b.- 15 32 с. 15 15 d. no...

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Q: -1 to be continuous at s 1. -1 Define f(1) in a way that extends f(s) (1)=(Type an integer or a simp...

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Q: Which of the following best describes the function below? S (x) ={** if.rso |-r² if 0 <.x A. Continu...

A: To find out the correct statement. 

Q: 102 - Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = a...

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Q: Find the global minimum of the function f (x) = 1+x² on the interval [1, 10] . Write DNE is there is...

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Q: Evaluate f'(-2) if f(x) = x* – 5+ x-2 + 4x-4.

A: The detailed solution is given below Thank you 

Q: Find a function y(x) such that 5yy' = x and y(5) = 8. y =

A: Given: - The differential equation is, 5yy'=x and y(5)=8 To find: - The function y(x) such that the ...

Q: Let lim an = a and lim bn = b. Therefore n-00 n-00 ii) lim anbn = ab, n-00

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Q: e2 6. - dx -Find 1

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Q: Provide an equation of one of the common functions with multiple transformations. For example, f(x) ...

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Q: F. Directional Directive Find Duf (x, y, z) at (2,–1,0) in the direction of the unit vector U parall...

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Q: For S V1+ vĩ dx,x = O x = u^(1/4) O x = u^(1/2) x = u^4 x = u^2 O C

A: This can be solved as follows:

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: 2. Find when f(x) = x²e* has a horizontal tangent.

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Q: Sa2 – 6x +1, x 6 Evaluate the following limits for h(x) = and Justify your answer. (i) lim h(x) = (i...

A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed ...

Q: View Policies Current Attempt in Progress Find the area of the shaded region. The image is not to sc...

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Q: 1. Evaluate the derivative of f (x) = Vx? – 1, using the following formula. f(x+h)-f(x) a. lim h b. ...

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Q: Using an appropriate substitution, e*sec²(e*) the integral S dx equals: e-tan(eX) - In|e – tan(e*)|I...

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Q: 6. f(x) = x* – 3x³ + 2x2 – 5x – 7 at x = - 1 8. f(x) = V3x - 10 at x = 2 10. f(x) = 6x –6 at x = 0

A: For function to be continuous  at a point x=alimx→af(x) =f(a)6) f(x)=x4-3x3+2x2-5x-7    at x=-1 limx...

Q: Trace the curve of the following equations by giving the a. Intercepts b. Symmetry c. Vertical Asymp...

A: Equation of a curve is giveny2=2x4-5x3+3x2+4x-20x2-3x+2

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: (a) Given: - The condition is the same direction as -2i+9j. To find: - The unit vectors that satisfy...

Q: By completing the square, dx the integral S equals: 2x2+8x+10 tan-1(x + 2) + C : tan-1(x – 2) + C th...

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Q: QUESTION 7 Solve the problem. Find the dimensions of the rectangle of largest area that can be inscr...

A: According to bartleby guidelines when student post more than one question then expert must have to a...

Q: for power substitution method, next step is zdz . For f (2z+1) u³ (3u²du) (Зи?du) (u³) Option 1 Opti...

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Q: ne graph of y =- have a horizontal tangent line? +9

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Q: Q3 : Find the PA=LU factorization of the following matrices: 2 4-2 6 0 2 4 -2 A = 3. В 6 0 3 4 2 4 4...

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Q: functions

A: We have to choose the correct option according to the given options

Q: 4 Find the value of f'(-1) if ƒ (x) =. (3xr² – 2x +1)

A: we have : f(x) = 4(3x2-2x+1)3 To find :f'(-1)

Q: If f(x) = 6 cotlx + 8, then find the value of f'(-2) is %3D -2 -8 V5 8. OO O

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Q: The graph shown below is Ax) = 2 cos x. If g(x) = Sðf(t)dt , find g '( ). %3D %3D 4 3 54 32 -14 1 23...

A: The function is given by fx = 2cosx The graph of the function is  To evaluate: The value of g'π if ...

Q: III I The current population of St. Catharines is about 133000. Suppose a major devel- opment is pla...

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Q: find the afproyimate Value of: (3.01)*+(5-98)²+(2.03)?

A: solution

Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small ...

A: This question can be solved by applying the formula of linear approximation.