,11,,11 x"yll The expression log can be written in the form 24 A log(x) + Blog(y) + C log(z) where A = , B: and C =

Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…

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Q: For the power series E (х-3)" find the interval of convergence. n=2 n5"

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Q: Q.4) The Wronskian W(e~2", e",e²), is: a) 12e b) –12e c) 6e² d) -6e"

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Q: 5. The cost C (in dollars) of producing x units of a product is given by the following. C= 3Vx + 400…

A: Use derivative for finding the marginal cost .

Q: dx 5x2 + 16

A: Given that a integration and we find the solution of this question by general formula of the…

Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

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Q: Determine the antiderivatives of the following functions: 1. V36-x² dx 2. 9x²+36dx

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Q: Solve the initial value problem for r as a vector function of t. dr Differential equation: = - 22k…

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Q: The approximation of / (x-3)e* dx by composite Trapezoidal rule with n 4 is: 4.7846 -25.8387 This…

A: Given:∫02(x-3)ex2dx

Q: Using the separation of variable method solve the differential equation d?/d?=4x3y3

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Q: Find the sum of the convergent series. 1.6

A: Gp

Q: Write a in the form a = a-T+anN at the given value of t without finding Tand N. r(t) = (2t + 3)i +…

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Q: 15. What are the coordinates of the vertices of the ellipse A. (-6,0) and (6,0) B. (0, -6) and (0,…

A: 15  y2/9 + x2/36 = 1 compare with x2/a2 + y2/b2 = 1 so a = + 6     b = + 3 so here vertices  (a,0)…

Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the lin…

A: Given: Q=0,-2,10l1:x=1, y=2t-3,z=5-t

Q: Using the fundamental theorem of calculus, find the area of the regions bounded by y= 5-x^2 and the…

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Q: 3. Which of the following is a true statementCirclc all that apply. (a) If lim an = 0, then the…

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Q: dx 4xvx²-16

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Q: Given the function f(x) = -xr* – 4x determine its critical points and classify them, determine the…

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Q: Find the interval of convergence for the follov ing power series E(coth n)x" n=1

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Q: 10 Find the derivative f' (0) of f(x) = at х+4 O using the laws of differentiation.

A: f(x)=10x+4DIfferentiate w.r.t.xf'(x)=ddx(10x+4)Take constant outf'(x)=10ddx(1x+4)f'(x)=10ddx(x+4)-1…

Q: Find the following limit. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. If…

A: Use l hospital rule for finding the limit.

Q: Given f'(x)=-+e²2* +x² and_f (1) = +x*and f(1)=. Find f(x) 5.

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Q: ہمملامعحممعم:لم ملنم ط علاهک بہادلاعہرامزم معو= اوهكهو

A: Using the finite difference method we have to find the values at inside point b/w 0 and 1.

Q: y =, x = 1, x = 4, and y = 0 is revolved about the y – axis.

A: Let's find.

Q: 5. ungles can be formed using the given measurements. The other measurements of the triangle in…

A: Two triangles can be formed by using the given measurements. The other measurements of the triangle…

Q: Suppose that f(æ, y) f(x, y) in the directional (1, – 1) and at the point = xy. The directional…

A: Here, the given function is: f(x,y)=xy So, ∇f=∂f∂x,∂f∂y⇒∇f=y,x⇒∇f(4,-3)=-3,4

Q: 2 sinh x Calculate the integral, J dx. 5+ 6 cosh x

A: Given :∫2sinhx5+6coshxdx

Q: "Definite Integrals" 1. sin | COS dr -

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Q: Evaluate the indefinite integral, ſx² sinh x³ dx.

A: To evaluate: I=∫x2sinh x3dx⇒I=∫sinh x3  x2dx

Q: 5. A Ferris wheel has a radius of 20m and takes 2.5 minutes to rotate once. a) How far does a rider…

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Q: x+6 lim 2. X6 X -36

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Q: Question 5 The length of the side of a square floe area of the tile. O +1.5025 cm2

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Q: From the top of a 550-foot cliff, a hiker looks down at a river below. Her angles of depression to…

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Q: 13. Identify the polar coordinates of the point with the given rectangular coordinates. (-6, - 63) 7…

A: Topic = Algebra

Q: (sec2 x + csc2 x)cos2 x dx

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Q: Q2: Evaluate o o" y*(x² + y²)dx dy 1 cV1-y? y² (x? + y?)dx dy

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Q: 2x determine the derivative of f(x) = 3 X

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Q: 2) Use the Chain Rule to express the second derivative of f •g in terms of the first and second…

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Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

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Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral s…

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Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

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Q: Unless specified, all approximating rectangles are assumed to have the same width. The graph of the…

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Q: Always remember the Antiderivatives of Trigonometric Functions. a. J sin x dx =– cos x + C d. S csc²…

A: Note:-  These are multiple sub parts question and according to company guidelinde we can do maximum…

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

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Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

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Q: 1- x² tx

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Q: dy as a function of x. dx Write the following function in the form y = f(u) and u = g(x). Then find…

A: Given query is to find the derivative of the expression.

Q: I. Find the general solution of the following: dy 2x 1.- dx y dy 2. xy dx 3. dy = (6e3x+ 1)dx

A: We have to find the general solution.     According to our guidelines we can do only one question so…

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: sum of number is 23 let a number = x  other number is 23 - x

Q: 4. Which of the following is the Maclaurin series fore Circle all that apply. (a) (b) (-1) (2n)! (d)…

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