(3x2-7)* y = (3x2+5)4

Q: The base of a solid is the region in the first quadrant bounded by the curves below. 25y = 25 – x2 x...

A: Given : Base of a solid bounded by the curves 25y=25-x2 , x-axis ,and y-axis. In the first quadrant ...

Q: Identify the quadric surface each of the following equations represent and sketch its graph. O 92" +...

A: 9 x2 + 4y2 + 36 z2 = 369 x236+4 y236+36 z236=1x24+y29+z21=1x222+y232+z212=1

Q: 1. Complete the table below. Ordinary or Partial Linear or Non- Order Independent Dependent Variable...

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Q: (2xy +y Jdx + Cx*- x)dy-e 3

A: Given:- (2xy+y)dx+(x2-x) dy=0 To find:- GENERAL SOLUTION FOR GIVEN DIFFERENTIAL EQUATION

Q: 28. The line segment joining (0,7) and (-6,-3) is a diameter.

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

Q: Therefore, we have 3w?- 7w + 5 - 3w2 7w/2, sw 1/2 Now, since the function Is a sum of power function...

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Q: Find the derivative of the function. y = 9Vx y' = %3D

A: Our Aim is to find the derivative of y=9x -(i)

Q: #62

A: We have to show that the concentration of salt after t minutes (in grams per liter) and what happens...

Q: x +1 dz

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Q: dy Find dx for the equation xy + sin(x + y) = 123643543 dy -y dx x+cos(x+y) dy -y-cos(x+y) da -cos(r...

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Q: 2. Let f(x, y) = Vx² + y?. Find all critical points of f.

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the fir...

Q: X + |

A: topic - indefinite integral

Q: The function h (t) = -25 cos(4nt) + 29 represents the height above the ground of a chair on a Ferris...

A: Given, h(t) = -25 cos(4πt) +29where ,25 = amplitude of cosine functiona) time to complete on revolut...

Q: Cos z+1 cos 2 1 + sec x =

A: Use simple trigonometry relation.

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A: We have to solve given questions on the basics of Given graph.

Q: Let f(x) = e. It can be shown by direct computation that f() (x) S 76e on the interval [0, 1). Using...

A: According to question,Given function.fx = ex2

Q: 2. Given r(t) = e' cos ti + e' sin tj+ e'k , find the tangential and normal components of accelerati...

A: Given: r(t)=et cost i +et sint j+et kTo find the tangential and normal components of acceleration:Fo...

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A: Given :y=x9+5To find : (f(u),g(x)) , dydx and G'(u).  

Q: (x²+y)dx+(y³+x)dy=0

A:

Q: 4. Use the product rule twice to prove that if f, g, h are differentiable, then (fgh)' = f'gh + fg'h...

A: According to question,we have to prove that,ddxfx3 = 3 fx2f'x

Q: Consider the integral sin-'(5x) dæ: Applying the integration by parts technique, let U = and dv dx %...

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Q: dx 3. Vx+3

A: Given query is to find the value of the integral.

Q: If z = x + y is an objective function to maximize, with restrictions x ≥ 0; and ≥ 0; y ≥ x; y≤5. The...

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Q: Find the DE of the family of plane curves described and sketch some of its members. Straight lines t...

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Q: Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial va...

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Q: Solve the differential equation: 2 (21² + y² ) dt – tydy = 0

A:        Given 22t2+y2dt-ty dy=0   Here  M=22t2+y2  and  N=-ty     ∂M∂y=4y  and  ∂N∂t=-y              ...

Q: Let f(x) = 3 6e". Enter an antiderivative of f(x)

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Q: The quadratic approximation for a function f(x) at a=2 is given by q(x) = 16+ 32(x – 2) +24(x – 2)² ...

A: Given that: q(x)=16+32(x-2)+24(x-2)2

Q: Evaluate the following expression using a unit circle. 11n sin 6

A: Given that: sin11π6

Q: (6x3 +7x2 + 20x + 16 d.x Consider the indefinite integral x4 +4x2 Then the integrand has partial fra...

A: We need to solve integral.

Q: 7. There is a removable discontinuity 8. There is a jump discontinuity at x = 1 and f(1) = 4 at x = ...

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Q: A given partial fraction 2х A B Cx + D (x – 1)(x+ 4)(x² + 1) X +4 x² + 1 X- a B can be evaluated as:

A: Given a partial fraction we have:-2xx-1x+4x2+1=A(x-a)+B(x+4)+Cx+D(x2+1)  -(i)Our Aim is to evaluate ...

Q: Find ds/dt if t = sy1- s2

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Q: dH f(5) = 8, f' (5) = 4 f(26) = 8, f'(26) = 6, g(5) = 1, g'(5) = -9, and H(x) = f(r² + g(x)). Find d...

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Q: Show the diagram/graph showing the points at with each arch passes through: ? Dimensions of the tun...

A: Given:    y=-18361x2+18

Q: 7. There is a removable discontinuity at x = 1 and f(1) = 4 %3D

A: 7.  There is a removable discontinuity at x=1 and f(1)=4

Q: Identify the quadric surface each of the following equations represent and sketch its graph. A 9n? +...

A: Given that: 9x2+4y2+36z2=36

Q: Logarithms as anti-derivatives. 4 ¤(In z)2 Hint: Use the natural log function and substitution.

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Q: Solve the differential equation with appropriate method. Finalize answer in terms of * and Ccombined...

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Q: (х+2)* x² – 4 dy 2y dx x? - 4 х —

A: Given  :        dydx+2yx2-4 = x+22x2-4

Q: V+1 ? 4. What is the value of the lim2 А. О 3 D. 3 С. 2 В. 1

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A: Given Slope of tangent line at (x, y) is 2x-3 and Curve passes through (3,2)

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Q: Find the derivative of the function. G(z) = (1 – 6z)Vz? + 1 %3D G'(Z) = Need Help? Read It

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 3. For what values of x does the graph of f (x) = x³ + 3x2 +x + 3 have a horizontal tangent.

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Q: 1 94. Prove that the derivative of f(x) = In x is f'(x) %3D by completing these steps.

A: The given function is f(x)=ln x

Q: Evaluate the indefinite integral: ' 5 – 2xe" da =+C.

A: Given query is to eveluate the integral.

Q: The base of a solid is the region in the first quadrant bounded by the curves below. 4y = 4 – x? x-a...

A: