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Q: Find the maximum and minimum values of g(x) =1+ x + x2 + x³ + x4 + x on the interval [0, 2].

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Q: Use the graph of the function f shown to estimate the indicated limits and the function value. Compl...

A: Consider the graph of function f   

Q: Let both f(x) and g(x) be odd functions. If possible, determine whether each function must be even o...

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

A: Analysing the sequence we can see: Numerator of the sequence is 9 in every term.            Numerato...

Q: Evaluate the integral. Tt/3 3 tan (x) sec (x) dx

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Q: 1. Sx2 In(x + 1) dx

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: iii. 1-sinx

A: Perform integration

Q: ) dx (D) [ + 4 dx (C) 2 + 2 2x

A: We have to choose the correct answer from the given options according to the given information

Q: Find dy / dx by implicit differentiation. xy + 5x + 5x2 = 2 dy / dx =

A: xy+5x+5x2=2

Q: Let be a function of x and y, and suppose that f(1,0) = 5. Suppose that (1,0) = <-3,4) Conasider the...

A: Required theorems: The maximum magnitude of the directional derivative is the magnitude of the grad...

Q: Determine the dimensions of a rectangular box, open at the top, having a volume of 32 cubic feet, an...

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Q: Σ Suppose that ax" converges to a function y such that y" – 2y' + y = 0 where y(0) = 0 and y'(0) = 1...

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Q: f (2) 2. Find if Ar) -(1-x²)(* -1) =

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Q: Draw a reference triangle and find the trig ratio for the angle (if possible) without a calculator.

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Q: Q 3/ Find the psints the Curve y=2x=3=? 12 x+20 on where the tangent is parallel to the X-aXis

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Q: Which of the following sets of forces acting on an object could not be in equilibrium? O a) 4 N, 4N,...

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Q: 1_dx -1 1-x The integral is an improper integral.

A: We can find the integral as below

Q: Use the difference an+1– an to show that the sequence - {n – 9n}+0 In=1 is strictly increasing or st...

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Q: We want to construct a rectangular box, with length x, depth y, and height x. The material used to b...

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Q: Problem 3 a) Suppose C(r) is the area of a circle whose radius is r, and S(r) is the area of the cir...

A: Firse make the digram then find the area of square and circle and divide and find the answer.  In 2n...

Q: 5. Find the derivative of y= x' +2x -1

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Q: Hint: the conjugate of the denominator #svon sinx - cosx + 1 sinx + 1 %3D xS200is sinx + cosx + 1 si...

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Q: Compute 22 mod 3, 24 mod 5, 26 mod 7.  What do you notice?  Does Fermat predict your answers? (If yo...

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Q: 7. The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level...

A: We have to find the velocity, maximum height and time to reach maximum height.   According to our gu...

Q: 11. Write an equation for the result of shifting the graph of y=xv3+x to the left 2 units and then d...

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Q: dx Find 1+tan x

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Q: 1 xp2 xV9x²-4

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Q: Given P = R³ S°T0.5 + R0.5 S sin(2T) what is P as

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Q: Problem 2 Evaluate the limit if it exists or state DNE (does not exist): V4u+1-3 a) limu¬2 u-2 b) li...

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Q: dt cos (2 sin 21) /1– 4r

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Q: Question 4) -Find a positive integer n for which :-1. = -1. -Find all distinct values of: (i) 81/3 (...

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Q: f"(2) 1. Find

A: Given f(x)=43x2-23x+1f'(x)=-23*ddx(x)+43*ddx1x2+ddx(1)        =-2*13+4(-2)x-33+0

Q: volumes of these sol 4 m 4 m 4 m 4 m

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: of and ду of For the function f(x,y) = In (x+ 3y), find

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Q: () 11. cot 12. sec 6.

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Q: 5)ohow all Stes in the solution of the polynomial ineguality beiow. (メーム じ o

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Q: Find the minimum and maximum values of f(x) = Vx? on the interval -3, 5|.

A: We can find the minimum and maximum values of f(x) as below.

Q: 13. Determine algebraically whether g(x)= is an even function, an odd function, or neither.

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Q: 7-10 Verify the given linear approximation at a0. Then determine the values of x for which the linea...

A: Hello learner, we can answer first question among the given question as per the honor policy. Please...

Q: Find the general solution of the given second-order differential equation. у" - у' — 30у %3D 0 y(x)

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Q: Find the area of the surface obtained by rotating the curve y = sin(4x) about the a- axis from x 0 t...

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Q: dy Find given y = dx uv and u = 4x² – 5x +2 and v = 4x² – 5x – 7

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Q: Solve the given differential equation by undetermined coefficients. у" + у'+ у 3x sin(x) y(x) =

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Q: . Determine all the second order partial derivatives of the given functions. In each case, show that...

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: larger slope y =

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Q: The function P(x) = - 0.25a² + 150x – 4000 gives the profit when a units of a certain product are so...

A: Given:      P(x) = - 0.25 x2 + 150x - 4000

Q: -7 h'(s) (s – 12)2 Find the s values in the interval [-6, 3 where h(s) takes its minimum. S =

A: We have to find the s values in the interval [-6, 3] where h(s) takes its minimum.

Q: Determine whether the series converges, and if so find its sum. f the series diverges, indicate that...

A: Topic:- sequence and series

Q: sing permuations or combinations: Six people were asked to randomly select one food item from a lis...

A: topic- permutation and combination