2 ア=x,y=2r

Q: Show that the functions in Exercises 21-28 have exactly one zero in the given interval. 21. f(x) = x...

A: Given problem:- Show that the functions  have exactly one zero in the given interval 21. f(x) = x4 +...

Q: 2n + 1 n -1 n tan n=1

A: Find the limit of the given equation at infinity.

Q: dy + xdx + 2ydx = 0

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Q: 3 2 1+ X 1 Let R be the region in the first quadrant enclosed by the graphs of y = 10e- sin x and th...

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Q: 8. 4dx + (x- y + 2)'dy = 0 (2--2

A: Note: According to our expert guidelines only one individual question is to be answered kindly repos...

Q: 2. f(х, у) 3 а? —гу + у? then ,is

A: Given: fx,y=x2-xy+y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 ...

Q: Sketch y=(x^2-9)/x+3

A: Sol:- y=(x^2-9)/(x+3)=(x+3)(x-3)/(x+3)=x-3 so y=x-3 put y=0 x-3=0 x=3 (3,0) put x=0 y=0-3=-3 (0,-3) ...

Q: true or false: if the sequence [a sub(n)] is monotone decreasing, then [a sub(n)] must converge

A: Follow next step

Q: Find the general solution of the second order differential equation below: dx d) dt2 + 6x = 0 dt

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Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per second...

A: dv/dt = 45 cm3/second side is 2 cm height is 5 cm side/height = 2/5 side (s) = 2h/5 volume of pyrami...

Q: Q3: Find an equation for the tangent line to the curve y = etan x at the point where x = 0 (5 marks ...

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, ...

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Q: Consider the two functions fz) = 5x +5 and g(x) = 5x² - 5. a. Determine the instantaneous rate of ch...

A: rate of change means differentiate with respect to x so differentiate it f'(x) = 10x g'(x) = 10x   a...

Q: Problem 3. The surface of a dome to be installed on the roof a house can be modelled through the fun...

A: f(x,y)=4-x2-y2To Find:d. The coordinate (x, y) of the highest point of the dome. Why it is the maxim...

Q: find an equation for the tangent line to the graph of y=(5-2x)^2 at (3,1).

A: Explanation of the answer is as follows

Q: Evalnate. the. followin..deuble.integrals.by.conver.king.b.. polar.Cto.r.dinates. Gp xpx Sf- Ans.: A...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the ezact answers using the provide...

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Q: A chemical substance has a decay rate of 9.5% per day. The rate of change of an amount N of the chem...

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Q: 4. f(r, y) = + y + xy,find fay and fyz

A: Solve the following

Q: The sum of the matrices below gives a (3 7 21 10 0 and О Зх3 matrix O 3x 2 matrix O 2x3 matrix O 2x ...

A: Given: One matrix is of 3x3 and one is of 2x2. So, the sum of the above two matrices is not possibl...

Q: Evaluate the indicated integrals if b is a positive real number constant. A. ftan () dx B. dx C. sec...

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Q: A manufacturer has a steady annual demand for 9,600 cases of sugar. It costs $10 to store 1 case for...

A: Find your answer below 

Q: If a cars position on a straight road is given by p(t)=t^3-6t^2+8t find the inflection point for the...

A: Given query is to find inflection points.

Q: Determine the intervals on which the function is concave u у 3 19х? + In(х) (х > 0)

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Q: Find the general form of f if f'(x)- 8f(x).

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Q: If y = csc² x+ 2 , then ſ y dx = cot x + 2x + c True O False

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Q: 5. (2y- 3x)dx + xdy = 0

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Q: Let R be the region in the first quadrant bounded on the right by the graph of y = x – 3, above by t...

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Q: A police car is located 30 feet to the side of a straight road. A red car is driving along the road ...

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Q: Find a formula for the nth term of the sequence. - 2, 1, 6, 13, 22, ... Determine the sequence's for...

A: We have to find the sequence's formula in terms of n. 

Q: dx Evaluate: x²+ 8x + 20 x+4 A -1 tan +C B In (x²+ 8x + 20) c) None x+4 -1 D tan +C 2 x+4 E sin -1 +...

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Q: Find the limsup and liminf of the following sequence: sin a) an = n° n if n is odd п+1 b) an if n is...

A: a)an=nsin(nπ/2) b)an={n/(n+1) if n is odd             1/(n+1) if n is even} c)an=sin(nπ/3). Repost t...

Q: [8] Rewrite the following statement less formally, without using variables: There is an integer n su...

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Q: 4 20 Find f(5x)dx if f(x)dx = 3. Enter the exact answer. 4 f(5x)dx =

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Q: The table gives values of a continuous function. Use the Midpoint Rule with three subintervals to es...

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Q: 1. 2(2y? + 5xy 2y + 4)dx + x(2x + 2y- 1)dy = 0 2. y(y+ 2x - 2)dx 2(x + y)dy = 0 3. xydx - (x² + 2y²)...

A: As per our guideline we supposed to answer only first question to get remaining kindly post again To...

Q: [9] Suppose x is a particular real number, and let p, q, and r symbolize “-23

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Q: fm and n are odd integers, then so is m · n.

A: Given query is to find statement true or false.

Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.) y = ...

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Q: 4x Estimate the error in the quadratic approximation of f(x,y) = e sin y at the origin over the regi...

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Q: Determine the line tangent to y = sin x that is parallel to 2x – 4y = 8.

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Q: 4. (a) Estimate the area under the graph of f(x)=1/x from x=1 to x 5 using four approximating rectan...

A: Here is the solution of the given problem. Area estimation by upper sum and lower sum.

Q: Determine whether the series converges or diverges. ∞ ∑                                         2...

A: Given query is to find series converges or diverges.

Q: Find k such that the function is a probability density function over the given interval. Then write ...

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Q: An evolved kind of green fungi is shrinking at an initial rate following f(t) = vVE + 5, where t is ...

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Q: Find the solution of the following Differential Equations 2) y"+2y'+y x 4) y"+y=-30sin(4x)

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Q: Find d^2y/dx^2 for y=2x^3-5/x^2

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Q: n. 2n + 1 Σ n tan -1 n n=1

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Q: d?x ax dx ÷+ 9x = 0, when x(0) = 1 and (0) = 0 dt2 dt dt

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Q: 2. Evaluate. th fallowing.integrals.a.fte..seueo.ing.the arder.af.integratren. dyd x Ans..In7)4 .0.t...

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