43. f(x)=x³-9x²2 +15x+4

Q: Evaluate the integral. sin dx 2 1-x

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Q: 15. Solve the following limits (if possible): 1 1 5+x 5 a) limx→o x x³ - 27 b) limx→3 x² − 9

A: Simplification of limit

Q: 7. A spring is stretched 200 mm by a 15-kg block. If the block is displaced 100 mm downward from its…

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Q: 15 10 -L₂¹⁰ ƒ (² f(x)dx - where a = f(x)dx = Sª ƒ(2)dx and b

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Q: (3, 2, a) Calculate the magnitude of b. b) Determine whether a and bare perpendicular. c) Find the…

A: Note: as per guidelines we support only three subparts of the questions. Kindly repost next…

Q: 1. The effectiveness of studying for an exam depends on how many hours a student studies. For a…

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Q: Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t = 0

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Q: B) Let F(x,y)=√√y-x, then answer the following (For four only): (1) Find the function's domain (2)…

A: According to Bartleby guidelines I can only answer the first three sub questions.

Q: The plane with equation = (6,-2,3)+a(1,3,0) + b(2,2,-1) intersects the y- and z- axes at the points…

A: Vector equation of line is r'→=a→+αb→-a→where, a→ is the position vector of the point A.…

Q: By using the differential operator D and it's inverse, solve this equation: y"" - y" - 6y' = ex ex…

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Q: Find a point on y = x closest to (18,0) For what x is the slope of the tangent line at x to the…

A: Given

Q: 1. Use the Chain Rule to find y = (u-2)³ and u = da in terms of x. 1 2x+1

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Q: (x² - 4) dx x² + 2x² + 2x S

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Q: 1. Determine the point of intersection between the line, L: x = 3+t, y=4-5t, z=1-7t, te R, and the…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Using Gauss Jordon elimination, determine the intersection, if any of the following sets of planes…

A: We have to use Gauss Jordan elimination

Q: Find dy /dx for the following functions: -) y².cotx= [sin(x. y)]-¹ b) y = (lnx+x) tan x

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Q: a) Use polar coordinates to calculate SSR(3x+2y)dA where R is the region in the second quadrant…

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Q: Find the area of the region enclosed by the curves 4x² + y = 4 and x - y = 1.

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Q: Nove the followingTuation sutisfied Cauchy - Rieman. s oes W = Z 4 equation

A: For a function of form w=f(z)=u+iv is said to satisfy Cauchy-Riemann Equation if ux=vy  and uy=-vx…

Q: integral is easier to evaluate in one order than the other. Find the best order and evaluate the…

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Q: Q2// Find the resulting volume of the curve y = sin x cos x rotation about the x- axis if x=0, x=?

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Q: 6. The diagram below shows a regular hexagon. For each vector expression, write a single vector that…

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Q: Q2) Use the chain rule to express dy /dx in terms of x and y y = sint and t = cos x where t = 0

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Q: A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

A: A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure  water is then…

Q: Problem 1. Graph the function f(x) = +62+5 2-1

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Q: Ketch a graph of f(x) = 3 2 x + 2

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Q: the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with…

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Q: Evaluate the Riemann sum for f(x) = 1.4 - ² over the interval [0, 2] using four subintervals, taking…

A: Given :   f(x)= 1.4- x2

Q: Businesses can buy multiple licenses for a data compression software at a total cost of…

A:

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: Given problem:- Evaluate the integral ∫√(x2+6x) dx

Q: Graph the parametric equations below (x(t) = 3 cost + cos 3t ly(t) = 3 sint - sin 3t

A: To graph the parametric equations.

Q: By using the unlimited coefficients method, choose the correct answer for this equation…

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Q: Using the graphs of the functions y=f(x) (red dashed line) and y = g(x) (blue solid line), evaluate…

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Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: Concept: The Trapezoidal Rule: The Trapezoidal Rule divides the whole area into smaller trapezoids…

Q: Evaluate the indefinite integral by using the substitution u=x² + 1 to reduce the integral to…

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Q: 4. Find the derivative of f(x) = 7. A. 7 B. 0 5. What is the derivative of In(x)? B. 1/x A. xln(x)…

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Q: Evaluate the indefinite integral by using the substitution u=x*+x to reduce the integral to standard…

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Q: 10. Which pair of lines are perpendicular? a. -5x+y+1=0, 5x+y+1=0 b. 2x+3y-7=0,-3x-2y+2=0 c.…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: c) sketch its graph

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Q: Q6. Find the volume of parallelopiped formed by the vectors , and .

A: Given :a=<2,-4, 5>b=<-1, 0,-3>c=<3,-5,-3>

Q: Q5) Evaluate the following integral by using Partial Fractions Method = y = S₁ 2x²-3x+2 - (x − 1)².…

A: Use partial fraction to calculate the integral.

Q: A horizontal trough is 1600 cm long and its ends are isosceles trapezoids with an altitude of 4 m, a…

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

Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

A: Solution:

Q: 7. A line has equation /:*-=-= 1:*=1==32₁2=3 x-1 y-2 -,Z=3 z a) Write the parametric equation for…

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Q: Calculate the operational determinant of the given system in order to determine how many arbitrary…

A: Concept: Elimination method: We can now and again combine equations as we do in linear algebra to…

Q: Find the value of the following derivation y = x ln x sin x

A: use the product rule for finding the derivative.

Q: let f(x) equals three sin X plus cosine 4X; (pi,1) find the derivative find the slope of the tangent…

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Q: Q3. Find the cross product of the vectors and .

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y=4…

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Q: 3 -6 -4 -3 4 Let y = J. ,Vi= 1₁ 5 -1 Compute the distance d from y to the subspace of R4 spanned by…

A: Given y=3-6-35   , v1=-1-44-1  , v2=0220