5x- 1

Q: The volume of the solid generated by revolving the curve x = 4, about the y-axis between y = 0 and y...

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Q: In Exercises, find the slope of the function’s graph at the givenpoint. Then find an equation for th...

A: 15). Given function is ht=t3. To find the slope of the function's graph and equation for the tangent...

Q: The Vertex and the value of 'p' of the given parabola (x – 5)² = 16(y – 9) are

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Q: 2-21 A ball is thrown from the ground and after t second is at a distance meter from the ground, whe...

A: To find the velocity function, v(t), differentiate the position function, s(t) with respect to t and...

Q: The radius of a sphere increases at a rate of 2m/sec. Find the rate at which the surface area increa...

A: In sphere Rate of radius= 2m/s Find the rate of change in surface area?   

Q: [3 Marks] B1(b): Solve the initial value problem : f'(x) = x14 + 12x + 18 and f(0) = 7.

A: To solve the following initial value problem, f'(x)=x14+12x+18 and f(0)=7 f(0)=7 implies that when x...

Q: give parametric equations and parameter intervals for the motion of a particle in the xy-plane. Iden...

A: Consider the parametric equation given by x=sin t,   y=cos 2t,    -π2≤t≤π2 To find a cartesian equat...

Q: [2 Marks ] B2 (b): The position of a hummingbird flying along a straight line in t seconds is given ...

A: We know that the acceleration is given by the second derivative of the position function. Therefore ...

Q: 8x + 4 (a): Find the derivative of the function y and simplify the answer: 6x – 6

A: We shal use quotient rule for differentiation. Which says

Q: Use Simpson's rule to evaluate the integral 4 S (x² + 2x) dx by dividing the interval into 2 N = 4 e...

A: To find the integration by using simpson (1/3)rd rule

Q: The area bounded by the curve x = 4y + 7, the y-axis and the abscissas Y = 0 and y = 2 is 11 22 18 1...

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Q: ball is thrown from the ground atter t second is at a distance meberc fiom the grouncd, where s=at -...

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Q: dy if Using the parametric differentiation find dx 12e12t, y = 2e24t. 0.33 e12t 0.17 e12t 0.50 e12t ...

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Q: 2dt O 20 O 8 O 16 0 4 0 4

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Q: Solve plz

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Q: Estimate the limit numerically or state that the limit does not exist. If infinite, state whether th...

A: limx→2x2+x-6x2-x-2

Q: 84x lim x5 12x – 28 196 - 5.800 O 5.600 O 7.25 O 9.000 O 7.000

A: Find.limit

Q: express the set of numbers x satisfying the given condition as an interval.          I 4x - 1 I ≤ 8

A: 4x-1≤8

Q: 1 1 The graph of f(x,y)==+ +76xy has O One saddle point only. O One local minimum point and one sadd...

A: We are allow to sovle one question at a time

Q: Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if one s...

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Q: Find the domain of the function f(x,y)=arccos(x²+y²-49360). O {{x,v) E R² | x,y € R}. O {(x,y) € R² ...

A: Consider the function fx,y=arccosx2+y2-49360. Here, the objective is to find the domain of the funct...

Q: B2 (b): The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 4...

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Q: 8 Laplace inverse of L- is (s – 4)2 + 8² e4t sin 8t e8t sin 4t -4t O e sin 8t -8t sin 4t

A: Find the inverse Laplace of the given expression

Q: If lim f(z) = 16 and lim g(z) = 25 then lim(3f(z)g(2)-71 = 1207 O 1200 O 1193 O 32 O 223

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Q: Calculus Question

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Q: Find b so that the vectors v = i + jand w = i + bj are orthogonal.

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Q: In(3æ) Given f(x) the derivative f'(x) is 3 3 1 3x 1 3 1 3x

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Q: Determine whether the relation represents y as a function of x.

A: Given:

Q: In(3x) Given f(x) the derivative f'(x) is 1 3x 3 O x³¤ O 3 3x

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Q: 17)

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Q: ProoF s- F(F(B))SB

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Q: (a) Suppose that a hyperbola has semifocal axis a and semiconjugate axis b. Then for all points on t...

A: Given statement: a) Suppose that a hyperbola has semilocal axis a and semiconjugate axis b. Then for...

Q: If lim f(x) = 15 and lim g(x) = 25 then x5 x5 lim 3f(x)g(x) –- 6] = x5

A: Given that limx→5 fx =15  and limx→5 gx=25 find limx→5 3fxgx-6=?

Q: Employ trapezoidal rule to approximate 3 value of the integral S f(x) dx using the 1 table given bel...

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Q: 2. Solve the ff. equation using integrating factor. dy 2y – e3 dx

A: To find the integrating factor (I.F.), use the formula, I.F.=e∫P(x)dx and substitute P(x) with -2 to...

Q: 8 1 dy The degree and order of the differential equation 1+ is dx dy dx о 16, 1 O 20, 1 О 4, 1 O 1, ...

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Q: 0.8 Evaluate -2r dx using Simpson's Rule with n=6 0.2

A: Find the value of the given integral using Simpson's rule.

Q: In(7æ) Given f(x) = 7 the derivative f'(x) is. 1 7x 1 7 7 7x 1 7x

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Q: 162x – 216 lim -3 30x-40 - O 4.667 O 5.400 O 6.500 O 5.60 O 4.500

A: Given problem is, limx→-3162x-21630x-40

Q: In the given question , use the alternative form of the derivative to find the derivative at x = c, ...

A: To find derivative: f(x)=x-6,c=6. Solution: By definition: f'(c)=limx→cf(x)-f(c)x-c⇒f'(6)=limx→6f(x)...

Q: dy B2 (c): Find for dx y = 3 sin-(x²).

A: Use the chain rule of derivative and simplify the result.

Q: Q19

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Q: For Exercises 18–24, solve the inequality. 18. c? 13у — 12 20. –2x(x – 4)²(x + 1)³ 0 x + 3 22. 2 - ...

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: Mathematics

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Q: Please help thre is bo time Mathematics

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Q: Find the value of lim f(x), if x→3+ f(x) 6x + 2 x 3 2x + 6 12 8 18 36 11

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Q: .... .. ......... ....*.*. ..* * ..... The area of an ellipse with axes of length 2a and 2b is nab. ...

A: As per our guidelines , we can only solve first question. Please resubmit other questions as next qu...

Q: Evaluate [(1 +x-3 + sin4x)dx -2 cos4x X - + c 4 0x-- cos4x + C cos4x O 2x- 4 0 4x-두-5t +c cos5x + c ...

A: As we know that the integration of : ∫fx±gxdx=∫fxdx±∫gxdx ∫xndx=xn+1n+1+c ∫sinxdx=-cosx+c

Q: Exercise tell how many units and in what directions the graphs of the given equations are to be shif...

A: y=x5    left 1, down 1. The graph must be horizontally shifted to the left side by 1 unit and then v...

Q: 1. Solve for the i the ff. differenti

A: Solve for the integrating factor of the differential equation.dydx=2y-e3x