Suppose the derivative of a function f is f '(x) = (x + 1)2(x − 2)7(x − 3)4. On what interval is f increasing? (Enter your answer in interval notation.)

Q: S cos 2x dx COSX

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: A tank contains 240 litres of fluid in which 50 grams of salt is dissolved.pure water is then pumped…

Q: 3. (a) Solve the differential equation (x+1) ª¹ = y +e³(x+1)² . dx (b) Form the differential…

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Q: Annual U.S. factory sales of consumer electronics goods to dealers from 1990 through 2001 can be…

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

Q: Three numbers are in the ratio 2:5:8. If their sum is 60, what is the smallest of these three…

A: Given three numbers are in the ratio 2:5:8. consider these three numbers are 2x,5x,8x. Also given…

Q: Use any of the results in this section to evaluate the given integral along the indicated closed…

A: Cauchy’s Integral Theorem : If f(z) is an analytic function in a simply-connected region R, then…

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

A: Use arc length

Q: Write an equation for the transformed logarithm shown below, that passes through (2,0) and (1,3) N 4…

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Q: Given the velocity v=ds/dt and initial position of a body moving along a coordinate​ line, find the​…

A: Solution is given below:

Q: Find T5(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x)= = Using the…

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Q: approximation with 5 subdivisions. 3 2 1 2 3 4 5 6 7 P∞ot 8

A: solution is given below

Q: Find the curvature K of the curve. r(t) = et cos(t)i + et sin(t)j + et k

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Q: If S then f(x)dx= 10 and is equal to Select one: O 10 05 015 O-5 [². [se none of the others f(x)dx…

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Q: y = f(x) = 8x² - 4x + 5 (a) Find the differential of f. dy = (b) Use your result from part (a) to…

A: Follow the procedure given below.

Q: The demand function for a sofa is given by p= D(x) = 19.2 - 0.2x dollars. Find the level of…

A: We have to find level of production at which revenue will be maximum.

Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

A: Solution

Q: Evaluate the following integral. 22x² S= x4-61x² +900 Find the partial fraction decomposition of the…

A: An indefinite integral is provided. We have to evaluate it by using the partial fraction…

Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

A: We can find the answer using the data given in the table as below.

Q: Find the volume of the solid of revolution formed by rotating the region bounded by the parabola…

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Q: Write the given expression as an algebraic expression in x. sin(2 tan-¹(x)) X

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Q: Find dy/dx, given that xy^3 -3y^2 +xy=1-3x

A: We have given a function y in term of x, and finding the derivative of that

Q: United Express, a national package delivery service, charges a base price for overnight delivery of…

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Q: 10 [.. 4 √x + 2dx = [Please enter your answer t format(For example: 3.14)]

A:

Q: 8) Let a, 32" +45° for n-0, 1, 2, 3,... If we write an as a recursive relation, it is Hint:…

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Q: Q2 a) Find the derivative using logarithmic differentiation. x³(2x - 1) (5r+1)7(r+1)

A: topic- derivative of a function Note: As per bartleby guidelines, we are supposed to solve only…

Q: Solve the following initial value problem. dr de = -лсоs л0, г(1)=2 (Type an exact answer, using as…

A: We have to find the initial value problem.

Q: Surface integral is used to find Density O Area O 111

A: surface integral is used to find 1.density 2.area 3.surface 4.volume

Q: The differential equation 2ydx-(3y-2x)dy=0 is Exact homogenous and linear O

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Q: The definite integral is equal to [²3x 3xdx Select one: O none of the others O 3 lò O3 lò xdx +3 lit…

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Q: Which proper integral would you use to help determine the convergence/ divergence of the series and…

A: Integral test of convergence:Consider an integer N and a function defined on the unbounded interval…

Q: Given i) Find the values of x and y when t = 3. the va Find dy E dx RAL LWhen IMA nd when 123 CALC…

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Q: Find the constant of variation when one exists and write it in simplest form. Direct variation…

A: We have to find out solutions

Q: 6 Find an equation of the line to the curve Y= √x that is parallel to the line 6x +Y=1. Y =

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Q: Find the Riemann sum using R4 over the interval [0, π]. y = x² sin x

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Q: The data given in the Table below is produced from a Linear Difference Equation model of the form: Y…

A: To find the value of a and b and then the value of linear model.

Q: Evaluate 3 [²^{²} + √x² − ² + ³x² − ²) dx = x None of them 21.466 2.1664 -2.1646 -21.664 21.664…

A: Given problem:-

Q: 7. Show that the equation f(x, y) = sin(x + y) + cos(x - y) satisfy the wave equation 0²1 a³f dx²…

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Q: The value ff*(x+y+z)dzdydx is (solve) 3/5 O 5/8 O 2/7 O 7/8 O

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Q: If cos(0) sin(0) = = 2 and is in the 3rd quadrant, find sin(0) 3 -

A: We can find the answer as below using the formula for sin theta as below.

Q: (a) Find the integral of 6.x8 √21° +7 dx. **IDENTIA YAMIMATIO

A:

Q: The Eigen value of matrix p is (solve) ГО 0 Lo 1 0 0 1 -3 -4] (0,-1,-3) O (0,2,3) O (0,1,3) O…

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Q: * he transformation from Cartesian to plane coordinates in x-direction is given by x=rsine x=rcos20…

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Q: Find the curvature and radius of curvature of the plane curve at the given value of x. (Give your…

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Q: Differentiate the function 3 H(x) = (xx+x¹) ³ H'(x) =

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Q: 5. Find L¹ s-1 s³ -10s² +24s

A: To find L-1s-1s3-10s2+24s.

Q: The Maclaurin series of the function f(x) = 2x² sin(9x) can be written as f(x) = Σcna" 71=0 where a…

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Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: The Eigen value of matrix p is (solve) ГО 0 Lo 1 0 0 1 -3 -4] (0,-1,-3) O (0,2,3) O (0,1,3) O…

A: This question can be solved using the concept of matrices and determinants.

Q: If v=3i+2j+ k,w=3i+ 4k and the angle between v and w is 90, find v.w (solve)

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Q: [1 Q6: Find A1 where A = 3 2 -1 6 1 0 -2 4

A: