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

Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATION (4x3y – 15x2– y )dx +(x4 +3y2– x)dy=0

A: A differential equations of the form, M(x,y)dx+N(x,y)dy=0 is said to be exact iff ∂M∂y=∂N∂x  

Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

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Q: X x²dx 5+ x2

A: Find the integral

Q: Which of the following indefinite integrals will result to logarithmic expression? 2 A dx (2x+7)2 B ...

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Q: The population of Amoeba Proteus is known to grow at a rate proportional to the amount present in a ...

A: Given problem:- The population of Amoeba Proteus is known to grow at a rate proportional to the amou...

Q: In the integral, cos?tsin2tdt , the correct u using general power formula is;

A: Here,              We have given a definite integration               now we have to solve this by u...

Q: In integrating the function fx In 5x dx using integration by parts, what would be your v?

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Q: Find the correct u and du then find the equivalent.

A: All option given is in terms of x only but i correct for variable u and t. 

Q: dV 500(1+1)-2, when V=700 and t=0 is dt The value of C in the equation: A 350 B none of the given ch...

A: ∫at+bn dt = 1aat+bn+1n+1+C

Q: -1< x< 2 3 Consider the function f(x) = x = 2 4- x 2 < x< 3 |1 x2 3 (a) Sketch f(x). (b) Discuss the...

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Q: dx 5+ x2

A:   For knowledge purpose we will derive the general formula for such type of integration.

Q: The antiderivative of a constant is the family of lines.

A: Let y = mwhere m = constant

Q: cose Evaluate the integral: de. 4- sin?e A None of the given choices -sn(글sne)+c В © sin (ano)-c sin...

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Q: tan ( tan3x) dx Evaluate: cos?3x

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Q: (Inºx– 3lnx) *dx

A: Given that∫ln6x-3lnx4x dxSolution :let lnx=t1xdx=dt∫t6-3t4dta+b4=a4+4a3b+6a2b2+4ab3+b4∫t64+4t63-3t+6...

Q: x4メ U 5 + x² 2.

A: Let's find. 

Q: The value of C in the equation: ~-= - 500(1+1) -2 , when V=700 and t=0 is dt (А) 250 в) 300 c) 200 D...

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Q: dy x + ( 1+x)y = e -x sin2x dx

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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: In order to evaluate the integral expression / In( sin(x ))dv using simple substitution, dv =f(x) dx...

A: Integration

Q: x2- Vx +1 When you evaluate dx. The sum of the coefficient of X" for any constant n> 0 is o (use num...

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Q: c) Solve the following differential equations using the "exponential shift" defined by equation 4.1....

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Q: An equation containing derivatives or differentials is called a/an A differential equation B exponen...

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Q: Find f'(x) and f"(x). f(x) = (x3 + 1)e* f'(x) = f"(x) Need Help? Read It Watch It

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Q: Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is C(x) =...

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Q: 5) Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal populati...

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Q: A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 t...

A: We want to find the distance travelled by the kite. 

Q: 2x2+ 2x+1 x+1 Evaluate: Je dx. A x2 + In|x+1| + C 1 + C x+1 C None of the given choices * + In|x+1| ...

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Q: tan -15t sech le tan –15t Evaluate: 1+25t2

A: We have to find the definite integral

Q: In the integral, cos?tsin2tat , the correct u using general power formula is; A sint B sin?t C) None...

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Q: (x+2)2 dx (x+2)3 +C (A + 2x+4 In x +C +4x +4 In x + C (x+2)3 D -In x +C 3. B.

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Q: How many tangent lines to the curve y = pass through the point (1, 2)? x + 6 At which exact points d...

A: Using y-y1 =m(x-x1 )  where m is the slope of given equation.  Therefore there are two tangent lines...

Q: dV The value of C in the equation: dt 500(t+1) -2 , when V=700 and t=0 is

A: Given: dVdt=-500t+1-2 And V=700, t=0 We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And ∫c·fxd...

Q: メナー Aト 2.

A: Let's find. 

Q: 2 4– x2

A: topic - indefinite integral

Q: Match the function on the left with its antiderivative on the right side Submitted Answers Prompts C...

A: Anti derivative: If ddxf(x)= g(x) Then: g(x) is the derivative of f(x) f(x) is the antiderivative of...

Q: dx V2x+1 A 2/2x+1 +C B ® V2r+1+C (2+1) 24 C D

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Q: evF dr + A в 2 2 E) None

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Q: Write down a formula for ∂z/∂y if z is defined implicitly as a function of x and y by the equation b...

A: The given equation is yz=e3x+z.

Q: Find the exact value of the expression. cot

A: Cot(x)= Cos(x)/Sin(x)

Q: Express the following sum in closed form. 6 +4. n k=1 k Hint: Start by multiplying out 6+4. n Note: ...

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Q: To evaluate the integral expression / sin -1(Vx ) dv, using simple substitution dv =f (x)dx_ Determi...

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Q: S [sin(Inx?) ]°dx Which of the following is equivalent to -? х

A: Follow the procedure given below. 

Q: O-26429052 2n (41) +1+(+り

A: We will use log function to evaluate the values of n.

Q: dy Find for the following function. dx y = 5 sin x+2 cos x dy dx II

A: Given that          y = 5 sinx + 2 cosx  Here we have to find dy/dx .

Q: sinx 3. f(x)=(x)'

A: Given: f(x)=xsin xTo find the first derivative of the given function Formula: (uv)'=uv'+vu'ddx(sinx)...

Q: In( sin(x))dv using simple substitution, dv =f (x)dx_Determine the valut of /(x) if In order to eval...

A: The given integral is: I=∫lnsin x dv

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

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Q: Evaluate the integral. dx 3x2 + 11x + 6 0.

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Q: Solve the differential equation: dy x²y= (x + 1)(y + 1) dx

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