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Q: III. WITHOUT SOLVING the given problem, DEFINE the variables and unknown quantities, and SET-UP ONLY…

A: We have given a vacation house is rented.  Let,  x represents numbers of days C(x) represents cost…

Q: y= Cix2 + Cze' C₂e² 2X

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Q: dw dt = x²y = xy³, x = cos(t), y = et Find: @t= 0, when w =

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Q: g2(z) = g1(z − θ) is a horizontal translation to the: A. left B. right

A: The expression is given by g2z = g1z-θ To determine: The type of horizontal translation.

Q: 7315 Q₁. Find the angle between every two vectors below (Answer two only): a) d=i+2j-k and e--i+j-2k…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Q₁ Find the angle between every two vectors below ( Vate b) f-3i+2k and g=4i+4j-2k

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Q: Use the tabular method and the properties of limit to find the limit lim x→1 2x + 2-x 3

A: Since we have to find limit at x=1 by tabular method then we start the table from 2 to 1 and from 0…

Q: Solve the triangle. Round the answers to the nearest integer. y= b= C= IN M. 0 in in 75% 15 in Y b…

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Q: 2. If x = t + cost, y = sint, find d²y dx²*

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Q: Find the discontinuities of the function f(x) = = discontinuity and redefine if removable. x-1 ex x…

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Q: y = sin (x) 1+cos (x) Answer: 1 1 +cos x |

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Q: 2. Match the figures below with the equations: (a) z = sin(x) sin(y) (b) x²-y+2²=0 (c) z = √6x² +…

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Q: Find the solution of the IVP: (1 + y cos x) dx - sin x dy = 0, y(1/2) = 1. Then, evaluate y(1.603).

A: This question can be solved using the concept of linear differential equation.

Q: x² - 10x x-0 9x²-x (d) lim

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

Q: iii. [ 2² √₂³ +11de, x5 u = x³ +11 bstitu

A: Solution is given below:

Q: you

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Q: Find y' if y= 48x³+34x2-8x+15 (4x-1)² 48x³+34x²-8x+33 (4x-1)² If y = 3u² - 2u + 4 and u = x² + 3x -…

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Q: Given f(x, y, z) = x²y³z − 3xy²z³ + 5x²z − y³z, find fxyz

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(4, 2, 4),…

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Q: 3. Calculate the angles that vector H = 3ax + 5ay y-, and z-axes 8az makes with the x-

A: Given Vector -   H = 3ax+5ay-8az since , angle of vector with x-axis =…

Q: < For y = 174√√x, find dy, given x = 9 and Ax = dx = -0.14. dy = (Simplify your answer.)

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Q: 10) A semicircle of radius 2r is inscribed in a rectangle so that the diameter of the semicircle is…

A: The length of the rectangle is l = 22r = 4r The width of the rectangle is w = 2r Formula Used: The…

Q: Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour…

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Q: 5. Show the equation sin² x + 2x = 3 3 has exactly one solution. has exactly

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Q: Find the 4th root of z = 3-4i

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Q: A salesman sold ​$300 more than the rest of the sales staff. If the sales total for the day was…

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Q: Differentiate the following function. f(x) = x5 e5x f'(x) =

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Q: Use the cylindrical shells to find the volume of the solid A sphere of radius r

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Q: Evaluate lim 1-cos3x x→0 tan 2x

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Q: For the constant numbers a and b, use the substitution z = a cos² u + b sin² u, for 0 <u<, to show…

A: This question can be solved using the concept of integration by substitution.

Q: The range of y = tan-¹ x is A. R Evaluate lim h-0 A. undefined B. [-1,1] (x-h)³-x³ h B. 3x² C. x +…

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Q: Find the difference quotient f(a+h)-f(x) h for the function given below. f(1) = -9z+8 Give a…

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Q: Determine the Laplace transform of the function f(t) = t^2.  ( t squared

A: We have to find the Laplace transform of t2.

Q: Solve (D³ − 2D² + 2D) y = 0; when x = 0, y = 0, y = 1 and y/l =

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Q: Find the solution of the differential equation that satisfies the initial condition y(1) = −7. 0…

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Q: 2. f(x) = (x + 2)²³ (x-1)

A: Given:       fx=x+22x-1  Apply chain rule:   f·g'=f'·g+f·g' here f=x+22, g=x-1…

Q: U Substitution (a) State the Substitution Rule. Explain its connection to the Chain Rul- (b)…

A: Topic = Integration

Q: spot speeds of vehicles observed at a point on a highway are 40, 55, 60, 65 and 80 km/h. The…

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Q: Find the area bounded by 4 400-16x² Round to four decimal places. Y = 9 X = 0, y = 0, x = 2.

A: Topic = Area

Q: Match the equation with its graph. x² - y² + z² = 1 XX ZA N XK N

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Q: 3) If x³ ≤ f(x) ≤ x for x in [-1,1], find lim f(x) if it exists. x-0

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Q: Qe Evaluate the following integrals, then reverse the integration order ( a) y dx dy.

A: Consider: ∫02∫04-y2y dx dy=∫02y x04-y2 dy=∫02y 4-y2-0dy=∫024y-y3dy=2y2-y4402=222-244-202-044=8-4=4…

Q: A company that sells calculators has determined that the revenue generated by selling x calculators…

A: Given, A company that sells calculators has determined that the revenue generated by selling x…

Q: Please show all workings in each question neatly and in detail. 1. Evaluate the following indefinite…

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Q: 7. (x−y)(4x + y)dx + x(5x - y)dy = 0

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Q: A. A. Find if x = 2t4 - 4t² and y = t4 - 4t. dx t²-t+1 2t(t+1) B. t² +t+1 2t(t+1) Find f'(t) if f(t)…

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Q: Sketch a quadric surface that could have the traces shown. Traces in x = k O k = ±2 k=+1 k=0 Traces…

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Q: 8. FIND THE DIFFERENTIAL 1. ALL CIRCLES EQUATIONS OF EVERY FAMILIES Or CURVES GIVEN.

A: The general equation of family of circles: x2+y2=a2where a is constant.

Q: . If the money is invested at a rate of 5% compounded continuously, when ill the amount triple?

A: Given: Interest = 5%

Q: Find y' of tan(x²y4) = 3x + y²

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides