"sin²(x) + sin(x) os²(x) To evaluate the -dx using basic formula of integration (without using substitution), it can be transformed into Determine the value of ƒ (x) if x =0.9 (use radian form, 2 decimal places, no space)

Q: The function V(x) = x(7- x)(15 - x), 0<x<7, models the volume of a box. (a) Find the extreme values ...

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Q: de 20. 90 +120 +9

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Q: On what domain is the function f(x) = 5+ V2x + 6 continuous? %3D

A: Let's find. 

Q: dx Maybe used: sin(x – y) : 1. JTV#² + x + 1 sin a cos y – cos a sin y

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Q: * cos Ew) sin Gw) dw 5.

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

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Q: x² – x + 1 When you evaluate: ax. The sum of the coefficient of for any constant n>0is 19 A 15 B Non...

A: I have stated the used formula in the solution

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A: Given problem:-

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Q: You are told that Vf(2,3) =. %3D Given ü =, compute Düf(2,3).

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Q: A spherical balloon is inflating with helium at a rate of 128x ft / min. How fast is the balloon's r...

A: We have to find radius is increasing at a rate of and surface area is increase at arate 

Q: -3xdx 8.

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Q: The Audubon Socety at Enormous State Univety (ESU) is planning a anmual und reng "Eatathon. The sode...

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Q: Question 7 Sslanta 122-9) Identify the correct u A (2y²+3)2 B ® (2+3) © (2y²+ 3) D 4y4+12y²+9 E None

A: Identity the u=2y2 +3

Q: (b) Find the volume of the region D bounded in back by the plane r 0, =0, 1-y, on the top by the par...

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Q: 43 part a b and c

A: Topic:- function and it's Derivatives

Q: What is the first derivative of f(x) = ]n( 3x´+7x 5x

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Q: For f(x)= 4x and g(x) =x+5, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(3);...

A: Given:  fx=4x  gx=x+5 a) f∘gx   we know that      f∘gx=fgx                     =4gx                 ...

Q: A circular plate with radius 7 m is submerged vertically in water as shown. Express the hydrostatic ...

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Q: Suppose that a piston is moving straight up and down and that its position at time t sec is given by...

A: Explained below 

Q: Find the average rate of change of the function f(x) = 7x from x, =0 to x = 3. %3D The average rate ...

A: Use the slope formula to find the average rate of change -  m = y2-y1x2-x1, where x1,y1 and x2,y2 ar...

Q: Find the equation of the tangent line to the function f(x)=2x^2-x at the point where x=-1. Give you...

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Q: According to on of the derivative, lim (Enter the simplified form of the difference quotient) (Enter...

A: Using formula :

Q: Determine the limit or show that it does not exist. (x- y)2 + 2(x - y) – a2 – 2x (a) lim

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Q: Find ∂U/∂T and ∂T/∂U when ((TU −V )^2)ln(W−UV) = ln(2) at the point (T,U,V,W) = (1,1,2,4).

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Q: The motion of a spring that is subject to a frictional force or a damping force (such as a shock abs...

A: We know that rate of change of position is called velocity of the function.

Q: The force F has a magnitude of 500 Ib and acts along the line AM where M is the midpoint of the vert...

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Q: sect tan³Od0 cos® tane B sec® sec²0 D cose E None A)

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Q: Let v be the blue vector drawn at point P. It is tangent to the level curve marked 7. What is Dz f(P...

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Q: (1+cot 8) de 5. sin eJ4 - cote

A:      ∫1+cotθsin2θ4-cot2θdθLet u=cotθ.=∫ -1+u4-u2du=-∫14-u2+u4-u2du=-∫14-u2du+∫u4-u2du=-arcsin12u-4-u...

Q: Find the derivative of g(u) = square root of ((u+1)/(3u+2))

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Q: Determine whether the alternating series converges. k + 1 2(- 1)k+1. 2k + 1 k=1

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Q: An artist has decided to finish their piece of artwork by balancing it on a fulcrum and putting it o...

A: We need to find co-ordinates of centroid.

Q: The function shown below models the work done by the heart's main pumping chamber, the left ventricl...

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Q: Find the derivative of the function. f(x) = V3 - 6x2 %3D f'(x) = || %3D

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Q: 3.Determine the convergence of the following series. For a series replace sign, if it converges, Als...

A: a) ∑n=1∞15n3+2n

Q: 81 lim an n→+o The soguonco

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Q: Find a particular solution to the differential equation dy dy dt 8 + 20y 20t + 8e" + 19 sin (t) – 8 ...

A: We have to find particular solution of given differential equation.

Q: The slope of the tangent line to the differentiable function f at the point (2, f(2)) is [(2+Ax)-f(2...

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Q: Determine the coefficient of Cot(x) when we evaluate [[cot(x)- csc(x)]²dx_

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Q: Find the gradient of the function f(x,y) = 5y - x at the point (9,1). Then sketch the gradient and t...

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Q: A function f(r) is said to have a removable discontinuity at I = a if: 1. f is either not defined or...

A: For concepts: f(x) =x2-4x-2    

Q: The equation of the line in point-slope form is. (Type an equation. Use integers or fractions for an...

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Q: x2 - x +1 When you evaluate: dx The sum of the coefficient of X" for any constant n>0 is

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Q: 3. Set-up the definite integral(s) to get the area of the shaded region. y = (x – 1)2 + 3 y = -x2 + ...

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Q: (nx)dy/dx+2y=xy^(n+1) where n is constant, solve using linear equation diff eq

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Q: Use the difference a+1 – an to show that the given sequence {an } is strictly increasing or strictly...

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Q: Let h(x) = f(x)g(x). If f(x) = –3x² + 2x – 3 and g(x) = –3x² + 4x + 3, what is h' (1)? Do not includ...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: Use linear approximation to estimate f(3.85) given that f(4) = 5 and f'(4)= 6.

A: Given: - The values, f(4)=5 and f'(4)=6 To estimate: - The value of f(3.85) by using linear approxim...