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Q: Transform the polar equation r = 3 sin(0) to an equation in x and y. %3D

A: Converting the polar equation to rectangular equation

Q: Directions: Choose the letter of the correct answer. Write the letter tha corresponds to the correct...

A: Using Definition of Transcendental function Rules of limits.

Q: y= fx) y-g(x) Use the graphs of f and g in the accompanying figure to find the limits that exist. If...

A: A) limx→2 [f(x) + g(x)]=limx→2 f(x) +limx→2 g(x)=1 + 0(f(x) is not defined at x=2 but ,limit is 1 at...

Q: Solve the differential equations x (x- y²- x)dx =y(x²-y²) dy when x=2, %3D y=0

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

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Q: V Solve usinog variaton of parameters or reduction of order (D²- 2D+1) y = e2"(e*+1)?

A: Solve by using variation of parameter  find auxiliary equation and then find wronskian and put in th...

Q: 9. 1+x

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Q: 20. Let h be the function defined by h(x) = [", sin²r dt. Which of the following is an equation for ...

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Q: Q3/ find the derivative La)= メ 2. logs (x+3) 2x+4

A:

Q: Determine the domain and range of the following function. х-1 g(x) = V16–x²

A: Given : g(x) = (x-1)0.5/(16-x2)0.5 To find : 1. Domain                 2. Range

Q: many characteristics of the plants were quantified, such as their height (tall or short), flower pos...

A: This is a question related to mathematical logic. Based on the tree diagram we will solve the questi...

Q: Find the Maclaurin series for the function f(x) = ln(3 + 4x)

A: Maclaurin series of function fx is a Taylor series of function fx at: a=0       fx=f0+f'01!x+f''02!x...

Q: Elimination of Arbitrary Constant: bxy +b*x+1=0;b is constant

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Q: Given that 0 = 1, which of the following shows that sinecsce = 1?

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Q: SOLVE THE DIFF EQ (x²+xy²-x³)dx + (x²y-v®)dy = 0

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Q: Find the derivative of y with respect to x. y = 8 In (4 In x) dy dx II

A: Topic:- derivatives

Q: Question 1 Consider the function (x²y² – y³ x² + y2 0, if (x, y) # (0,0) f(x, y) = if (x, y) = (0,0)...

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x – 3x? + 4x – 12 2...

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

A: Answer is following ..

Q: What is the degree of the differential equation? d?y 2 %3D + dx dx?

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Q: 2. lim 5*

A: Here we have to evaluate limx→05x

Q: Solve the equation (x + 3y)dx - xdy 0 %3D O y? = 5x4 + cx3 O y = x5 +cx3 O 2y = x5 + cx3 %3D O 2y = ...

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Q: SOLVE THE DIFF EQ (ху-бх?)dy - (2y2-9ху)dx

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Q: Match the integral expression on the left with appropriate dV so that the antiderivative will exist....

A: I assumed that option of dv is same for all prompts

Q: 2. Let f be defined by the equation f(x) = V3-x. a. Evaluate lim f(x) %3D x-3+

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Q: A storage box with a square base must have a volume of 80 cubic centimeters. The top and bottom cost...

A: If f(x y) is a function of two variables. Then  for fx(x y)=0 ......(1) and        fy(x y)=0 ..........

Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+6y+6z=24. Roun...

A: Let's find. 

Q: Elimination of Arbitrary Constant: bxy +b*x+1=0;b is constant

A: We can find the answer as below.

Q: 2. y = (x² – 3)²

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Q: Determine the domain of f(x, y) = In (x² – y) %3D А. On and above the parabola y = a. В. On and belo...

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Q: Consider the following sequence: {a,} n=1 An+1 to show that the given sequence {an}is strictly incre...

A: The objective is to show whether the sequence is strictly increasing or decreasing.

Q: ,3 dx

A: we have to find the integral by parts.

Q: Consider the function 3..2 f(x, y) = cos(rxy) – a°y?. = cos(Txy) – x°y°. a) Find the equation of the...

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Q: xet dx (x+1)- 4.

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Q: Solve the following equation on (-o, co) 2 cos2 3x + sin3x = 1 %3D

A: Solve the equation 2cos23x+sin3x=1

Q: Rewrite the given equation of a quadratic surface and identify the graph. 12y2 – 3z2 = 16x

A: equation of the hyperbolic paraboloid  A y2 - B z2 = 2 Cx

Q: 6. The area of a rhombus is 143 m?. If the longer diagonal is 26m finc the shorter diagonal in inche...

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Q: h(x)= cot r11- tan"x

A: Given, hx=cot-11x-tan-1x We have to find h'x.  

Q: Calculate I dx n=LobysimPsons4) rule

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Q: Evalmate: 3/2 Cas 3x) dx

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

A: Here we have to find out the convergence of The infinite series and then we find out the sum if it c...

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

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Q: y = ( ビー2 at x=1 x+2

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Q: 3 -x if x < 2 f(x) = at x = 2, (-0,2) if x 22 2x - 3 if x 2 2 -3 f(x) = -2x + 2 if x < 2 at x = 2, [...

A: We have to check if the function is continuous or not.

Q: Find the differential equation of the family plane curves described. Draw atleast three members of t...

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Q: Solve the differential equatons (9xy-2y2) dx - ( 6x²_xy) dy =0 4.

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Q: Given vector function: 7 (t) = (sin t, cos t, t) Find the following: (show complete solution). a. Fi...

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: Use the difference an+1 an to show that the sequence | {n – 7"} is strictly increasing or strictly d...

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Q: Sam can swim at 6 m/s in still water. He wishes to swim across a river which flows downstream at 2 m...

A: