D Express the interval in (a-k, a+R) aad 1 x.-alc.R I(3x+1)?(

Q: Find the equation of circle and the equation of line from the following graph (3. -4)

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Q: A certain index I is a measure of soil moisture. An article described the rate of change of I with r...

A: dIdW=0.0634.6-I  

Q: 1 x + 3

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Q: Evaluate the iterated integral by converting to polar coordinates. V2x – x2 5/x2 + y² dy dx

A: Explained below 

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: The length of string is 48 cm.Let the length of the one piece is x,Suppose, equilateral triangle wit...

Q: -5 dx Evaluate 2х — 10 (а) — оо (c) 1/2 (d) 0 00

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Q: 5. Consider the function below. Is g continuous on (0,1]? on (4,1)? Why or why not? if x 4.

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Q: = 60 %3D = 30 %D =D3 %3D = ? %3D

A: From the given information,           3 × times of Red flower = 60                        

Q: 3. The graph of a function g is shown. 1. (a) Verify that g satisfies the hypotheses of the Mean Val...

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Q: Part of the piecewise-defined function (x – 1) + 2 if 0 < ¤ < 3 f(x) = b if x = 3 mx if 3 < x < 6 is...

A: Given problem:-

Q: dx The integral can be rewritten as 1- x (a) lim (-2+ 2v1-s) (b) lim (-1+2vī-s) S--0 (c) lim (-2+v1–...

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Q: In3 in2 4-ex xp- xV16-Inx 1 x Vinx In2 iv. Ino.5 e2x +1 1 O 2/22 O8-2/15 O 3 2 OIn 2

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Q: Suppose that f(x, y) = 5x + 2y on the domain = {(x, y) | 1 < æ < 2, a² < y < 4}. D D Then the double...

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Q: olve the differential equation with appropriate method. Simplify final answer ree of fractions and l...

A: We will solve the differential equation

Q: Question 2: Illustrated below are two tangent lines drawn at 2 different points on the curve whose f...

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Q: Create a bucket by rotating around the y axis the curve y = 3 ln(r- 1) from y = 0 to y 10. If this b...

A: Given: Create a bucket by rotating around the y-axis the given curve, y=3lnx-1 from y=0 to y=10 Dens...

Q: 17. Let f(x) - (x- 3)Show that there is no value ofc in (1,4) such that /(4) not contradiet the Mean...

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithm and fract...

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Q: dx The integral can be rewritten as - 8. (a) lim (-2+ 2v1 ) (b) lim (-1+2v1 – s) | (c) lim (-2 + V1-...

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Q: ue Theorem on the given interval? ction satisfies the Mean Value Theorem. continuous on [0, 3] and d...

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Q: III. Solve each by factoring then chec- 31. x-x-2 (0 32. x²+ 16x - 36 = 0 33. 8x? - 6x – 5 = 0

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: The objective is to find the interval of convergence of the series. 

Q: 1 6. Evaluate the given integral using suitable substituion COs(V도+ 3) dr

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Q: dx The integral can be rewritten as - X (a) lim (-2 + 2V1-s) (b) lim (-1+ 2v1 -s) S-00 00--S (c) lim...

A: First we solve integral, put √1-x=t  And follow step 2nd . 

Q: Use sigma notation to write the Maclaurin's series for the function f(x) = x cosx Show complete solu...

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Q: z° – 6z' + 4z – 2 dz |

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Q: A paint store sells 270 pails of paint per month at a price of $32 each. A customer survey indicates...

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Q: find the area of the region bounded above by the curve y = 2e^-x + x, below by the curve y = e^x/2, ...

A: To find the area of the region bounded above by the curve y=2e-x+x, below by the curve y=ex2 on the ...

Q: 37. h(t) = 14 -214 39. F(x) = x" (x - 4)²

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Q: (x²-xy-y²\ (x2-ху-у?) dy = 0 dx + r2-v3

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Q: Find the laylar polynomials of orders = 0,1,2,3, and 4 about x = No, and then find the nth laylor po...

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Q: Given: J5x2 cos(3x³) dx. If U=3x°, then the resulting integral is Jf(u) du. Find 4

A: I=∫ 5x2 cos(3x3) dxu=3x3du = 9 x2 dxx2 dx =du9which gives;I =∫ 5 cos(u) du9I =∫ 59cos(u)  du .....(1...

Q: Write an equation of the tangent line to the graph of f(x) 3x at x = +1. %3D 1+2x2 For what value(s)...

A: Given that fx=3x21+2x2 Solution :fx=3x21+2x2f'x=6x1+2x2-4x3x21+2x22if f'x=06x1+2x2-4x3x21+2x22=06x1+...

Q: The Pauli Exclusion Principle tells us that no two electrons in an atom can have the same four quant...

A: Please see the below picture for solution. 

Q: Use the binomial serles to find the Maciaurin serles for the function. 1 f(x) - (1 + x) Σ (x) = %3D

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Q: 2. If we visualize the region having "right" and "left" boundaries, express each as functions of y a...

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Q: Evaluate the double integral. eln 3 3 7 dx dy In x ey In 3 3 7 dx dy = (Type an exact answer in simp...

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: dz Compute dz and for the following equation. dy e Y + xz² 6xy*z³ .3

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Q: k! Σ 4k k=0 10

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Q: (b) Let u = u(x, y) and f and g be twice differentiable functions. Then, a general solution to the e...

A: The objective is to find the general solution u(x, y) .

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about * = x0 and then find the nth Taylor...

A: Let's find. 

Q: 3. Verify that each of the following statements is a false statement by finding a counterexample for...

A: Both statements are false : We can verify by giving an example. In the first statement for x=2 , sta...

Q: e) Explain how one can use differentiation to analytically determine the slope of a curve

A: If cost revenue given , we differentiate it so we give marginal revenue. 

Q: Find the Taylor polynomials of orders n = 0, 1, 2,3, and 4 about x = x0 and then find the nth Taylor...

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Q: Exact Equations (w³ + wz² – z) dw + (z³ + w²z – w) dz = 0 O (w² + z?)² = 4wz + c O (w? + 2?) = (4wz ...

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Q: d*y 4. Find 5 of the function f (x) = - e dz"

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) In(x), n = 4, c = 3 PĄ(x)

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Q: Find equations of the tangent plane and the normal line to the given surface at the specified point....

A: Solved below

Q: Some scientists believe that the average temperature of the world has been rising steadily. The aver...

A: We have to find slope and T - imtercept And T (surface temperature in 2050)