i. f 2x(x²+1) ⁹⁹dx

Q: 2. Evaluate the following integrals a) f √1+2-√1-dx (Hint: Maybe you need to rationalize the…

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Q: traveling? 66. A patient placed on a restricted diet is allowed 1300 calories per day with a…

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Q: 9²-9 9² + 69 79 2 9²-29-3 9² +29-3 2

A: To simplify ans solve the given question

Q: C = {1,2,4,6} B = {3,5,7,9} 9 A = {1,2,4,6} f = {(1,3), (2,5), (4,7), (6,9)} g = {(5,6), (3,2),…

A: Given 1. A=1,2,4,6, B=3,5,7,9 and C=1,2,4,6 2. f:A→B and g:B→C 3. f=1,3,2,5,4,7,6,9 and…

Q: Use Euler's method to find approximations to the solu- tion of the initial value problem dx = 1 + t…

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Q: Find div F if F(x, y, z) = (x2 + y) i + z2 j + (ey - z) k.           A . 2xy i + k          B. 2x…

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Q: Write an equation of the line containing the given point and perpendicular to the given line.…

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Q: 1) The volume of a right cylinder is given by the equation V = r² h, where r is the radius and h is…

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Q: K Write an equation of the line containing the given point and parallel to the given line. Express…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the regior…

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Q: express in form a + bi √-4 11

A: The given expression is -4 We have to solve the expression in the form a+bi

Q: C) f(x)=- --x-21-

A: Need to write down that how we can graph the given function and also need to find out the domain and…

Q: A woman plans to place a single sum in a certificate of deposit account with a guaranteed interest…

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Q: 5 Sº dx 400 + x²

A: Topic:- application of integration

Q: Q₁ Find the angle between every two vectors below ( Vate b) f-3i+2k and g=4i+4j-2k

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Q: Use the graph of the function to find its domain and range. Write the domain and range in interval…

A: We have to find domain and range of a function from it's given graph.

Q: dy xẩy + y = xy3 dx

A: We are asked to solve the differential equations

Q: Sketch the graph that possesses the characteristics listed. f is concave down at (1,4), concave up…

A: Given,   f concave down = (1,4)   f concave up = (9 , -6)   inflection point = (5 , -1)   graph

Q: √X 'csc²yox - √x sinydy =o • Find the general solution of e

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Q: Find the solution of the IVP: (1 + y cos x) dx - sin x dy = 0, y(1/2) = 1. Then, evaluate y(1.603).

A: This question can be solved using the concept of linear differential equation.

Q: = Multiply, and express answers using positive exponents only. 1 (6u²z - v² ) Lu 2 би V - 3v 2

A: Solution

Q: Solve for the partial Derivaties of each equations

A: We have to solve for partial derivatives (1) f(x, y) = x4 + 6√y - 10

Q: OV 7 The graph of a linear equation, y = f(x) is shown above. Find the interval where f(x) < 1.…

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Q: x² - 10x (c) lim 9x²-x 2

A: L’Hospital’s Rule Formula L’hospital’s rule states that Note: The limit of the quotient of function…

Q: 3) In the Mickey Mouse Fractal shown below, the first diagram has a radius of 102cm. Each successive…

A: We have to find circumference of smallest circle only in 6th stage after decrement of 1/3 in each…

Q: Show that xzxx + yZxy = y²Zyy if z = xy + yln(xy)

A: Given, z=xy+y ln(xy)

Q: How you recieve pi/4 in the first problem because when you put tan-1(1/2/12) = tan-1(1) and this is…

A: This is possible by the conversion of degree into radian.

Q: 73. lim sin 3t t⇒0 2t

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Q: It is -9 not positive

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Q: Solve for y' if y = sec55x - tan²5x A. 0 B. 1 If y = x[sin-¹ (sin x)], find y' A. 2x B. -2x C. 5…

A: (1) Given that , y=sec55x-tan25x y'=?

Q: 4. For the second-order differential equation y" + 4y = -16 cos²x: a. Show that y = cos 2x + 2 is a…

A: We have to find a,b,c .

Q: N 2 -3 EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²-8x + 9 at the point (2,…

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Q: Derive a Differential Equation that is free from arbitrary constants: y = C₁x + C₂e-*

A: Here is the solution:

Q: Given f(x, y, z) = xyz, find fyxy

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Q: (-8,-1) (-5,-3) (b) Let h be the function defined by h(x) (-2,1) = 1- g(x) x²+1 0 (1,5) Graph of g…

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Q: The loudness, L, in decibels(dB), is given by the formula L = 10. log loud in decibels is this sound…

A: Topic- functions We are given,Loudnes L, in decibels(dB) by the formula L=10·logII0where I is the…

Q: There are 25 points on the plane and there are no three points on the same straight line. How many…

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Q: 3. A business manager determines that the total cost of producing a units of a particular commodity…

A: Given :Function :Cx=30x+11400000

Q: 3) If x³ ≤ f(x) ≤ x for x in [-1,1], find lim f(x) if it exists. x-0

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Q: Consider f(x) = 5x-3 - 41/x^2 c) Find the equation of the tangent line at x = 2 to the graph of y =…

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Q: Find the second derivative of y = e²x sin(3x)

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Q: x² - 10x x-0 9x²-x (d) lim

A: Given query is to find the limit of the expression.

Q: EXAMPLES Find an equation of the tangent line to the parabola y--&x+9 at the point (2.-3). SOLUTION…

A: Find equation of tangent line

Q: Multiply, and express answers using positive exponents only. 3z1/8 (527/8-4216)

A: To multiply and express the answer using the positive exponents for the expression: 3z18(5z78-4z16)

Q: If a ball is thrown into the air with a velocity of 42 ft/s, its height (in feet) after t seconds is…

A: We have to find the velocity when t = 1 second.

Q: Find y' of tan(x²y4) = 3x + y²

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: sinh(2 ln(c)) = 1 (A) = + 2/2/2 (B) c² - 1 (C) -2/ 2 (D) c- ! с (E) 0

A: Note:- According to the company policy we can attempt maximum one question so please upload the next…

Q: Choice 1:Population Model The population of bacteria in a culture grows at a rate proportional to…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4²-25 442-204125

A: We are asked to simplify the following

Q: 2 (4-X) ² 36 What is the Solution Set?

A: Topic- Quadratic equation we are given, (4-x)2=36 and we need to find the values of x, which satisfy…