') Given y= -2x² –16x, find the absolute min imum and the absolute max i in the interval[-1, 4]

Q: 6. df Let f(x) = -x+ 6. Find f'(x). Graph f(x) and f'(x) together. Evaluate 1 df 1 at x= 1 and dx at...

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Q: 5. Exact Diffe re ntial Equation: x(3xy – 4y' +6}dx+(x' – 6x² y² -1dy =0

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Q: Constants: A and B B cos(wt + A)

A: Differential equation  Elimination of arbitrary constant 

Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the ge...

Q: 4. Homogeneous Diffe rential Equation: (x* +2.xy – 4y² kdx– (x² – 8.xy – 4y² kdy = Use the substitut...

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Q: dy Find dx 2x sin (x + 9y) %D dy %3D dx

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Q: Suppose that the differentiable function y = f(x) has an inverse, that the graph off passes through ...

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Q: Calculate the solution to the differential equ y (y² + 3x²) dx + 2r*dy = 0 O x³ = y² (C – x) x²C = 3...

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Q: SOLUE THE DIFFERENTAL EOMATION 3. D(D + 7D + 19D + 13) y = 0 %3D 11 when x =0,Y=D0,y'=4,4"- -10 find...

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Q: Find fr and f, for f(x, y) = 3x³ + 4x²y+ 4xy² + y? Select one: O a. fa = 12x? = 9x? + 8xy + 5y², = 9...

A: Given -  f(x,y) = 3x^3 +4x^2y + 4xy^2 + y^2 To find fx and fy.  

Q: The equation ? + sin(xy) + C = 0 is the general solution of O y' + cos (xy) = 2 (x + y) 2 (ydx + xdy...

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Q: (y-cos²x)dx + cosx dy = 0 %3D

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Q: B each have x = 0. Taylor polynomials of degree 2 approximating these functions near x = 0 are as fo...

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Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.)  lim x→−2  x3 + 8 x2 + ...

A: Given limx→−2x3+8x2+7x+10

Q: Find the derivative of y with respect to t. 1 y3D cot dy dt %3D

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Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is

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Q: Solve the differential equation. (x + y) dx + (2xy + x In 3x) dy = 0 %3D 1 when x =, y = 2 3

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Q: A spherical iron ball 10 in. in diameter is coated with a layer of ice of uniform thickness. If the ...

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Q: Find the area of the region enclosed between f(x) = x? – x + 20 and g(x) = 2x? – 2x. Area = .. ... ....

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Q: Exact Diffe rential Equation: x(3xy - 4y' +6) kx + (x³ – 6x²y² -1\dy=0

A: Check firstly it is Exact or Not.

Q: x +1 xp- x3 + x2 – 6x d.x

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as ...

Q: Choose a number and apply the following operations to it. Multiply the number by 12, and subtract 8 ...

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Q: Simplify the expression: 3(1 + 7g) %3D Submit

A: Given :3(1+7g)

Q: dx 3. (a) Evaluate S (b) Evaluate Jo x²-6x+10' 1+sin x 1 dx

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Q: f(x)= 5.738e0287x By inspecting the graph of an exponential function, find the following. Note: Roun...

A: The given function,      f(x)=5.738 e0.287 x

Q: 4. Homogeneous Differential Equation: (r+2ry-4y' dx-(r -8xy -4y' dy = 0 x=2; Use the substitution y ...

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Q: (a) Use the definition of the derivative to find the slope of the tangent line to the graph of the f...

A: Given; fx=65x & Px0,y0=3,25 As we know that; The slope of the tangent line to the given curve is...

Q: Findi Fx, fox, frg, for Fag fox F(X ) = Eai () %3D

A: We find out the partial derivative of given function.

Q: u = 3 + x² V3+ x²

A: We can find the integral as below using substitution method

Q: soWE THE DIFFERENTAL FQNATUON Zydx-(3xy°dx - xdy =0) %3D when x= 2 ,y=2

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Q: . Separation of Variables: x(y+1)dx+ 2 dy = 0

A: Given: xy+1dx+yx2dy=0   We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C; n≠-1 And ∫1ax+bdx=1aln...

Q: Alamina occupies the region inside the circle x 2  + y 2 = 4y but outside the circle x 2 + y 2 = 4. ...

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Q: 2 x2 1. J1 (x3+1)²

A: Solving question number 1

Q: Implicit differentiation x^2+2y^2-4=0

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Q: Suppose the function g statisfies - 32x – 2x2 - 120 < g(x) < r² + 16x + 72. We want to use the Squee...

A: Let f(x)=-32x-2x2-120 h(x)=x2+16x+72 And f(x)≤g(x)≤h(x) We to evaluate g(x) using f(x) and h(x)

Q: Instruction: Determine if f is continuous at x = c. Also, determine if f is differentiable at x = c....

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Q: raph the following functio and show domains and range

A: Range will be all real number  And domain will be all point except where it is not defined. 

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer Find the 4...

A: y=6x5+3x4-2x3+5x2-8x+9Differentiate w.r.t.xdydx=6.5.x4+3.4.x3-2.3.x2+5.2.x1-8+0         ddx(xn)=n.xn...

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

A: Slope amd tangent line 

Q: 3. sin 3z cos 5z dr

A: Here we have to evaluate I=∫sin3xcos5xdx

Q: 15.What is the first derivative with respect to r of f(x) = (? – 4)(3x – O A. 6x о в. (х +2)(х -2) (...

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Q: 3. Separation of Variables: x(y+1)dx+ dy = 0

A: Differential equation  Separation of variables

Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

A: Function change and slope     Answer is  192

Q: Elimination of Arbitrary Constant: y = Ax + Bx+C, A and B are constant, C is a parameter

A: We want to eliminate the arbitrary constants. 

Q: fa- (4 – 3 cos x) sin? x dx

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Q: a?, x = 4, and y = 0 16 Find the volume of the solid obtained by rotating the region bounded by y = ...

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Q: ду 9. The differential equation (3ycos.x+4xe" +2x'e" dx+3(sin x+1)dy 0 is exact because ON 10. The f...

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Q: Using a Table of Integrals with the appropriate substitution, find + 5e" dx e2 - 100 se3x + 6e2x Ans...

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Q: Consider the equation æ27 + 36 æ – 1 = 0 Which of the following statement is true? O The equation ha...

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Q: 61 Evaluate 6he integral. a 2. .2 3x

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