H.w2: evaluate 0.5 0.5 sinxy dx dy, using the Ax=Ay = 0.25 0 1+xy

Q: 2) Find the length of the shortest ladder that can pass over a fence 1.8 m high and reach a wall 3 m…

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Q: 5 (x+4)³ For the function f(x) = exist, enter Ø as your answer. X -4.1 -4.01 -4.001 -4.0001 -4.00001…

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Q: Find the final amount of money in an account if $3,900is deposited at 7.5% interest compounded…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Write the first five terms of the sequence, give the exact answer: +∞ {n+19)-1 Determine whether the…

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Q: 3. (3y² + xcos xy) + (3x² + ycos xy) = 0 dx a) y + sen xy + x³ = 0 y² + sen xy + x³ = 0 y² + sen y +…

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Q: (x² - 4) dx x² + 2x² + 2x S

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Q: // لاح - لا - لا -4

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Q: Hand written plz 9. Find inverse Laplace: es S

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Q: Q3)Evaluate the following integral by using Trigonometric Substitutions Method. dx = √√√9x² +9 y =

A: Let's solve integration by using trigonometric substitution.

Q: 1. For the vectors v = and u = a. Find v-u b. Find ||v|| and ||u|| c. Find the angle between v and…

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Q: Find t for the following terminal points, 0 ≤ t < 2π (a) P(0, 1), = √2 2 (b) P ( - 1/², 1/²³). 1 = t…

A: Let's find t for the given  terminal points.

Q: angle betw 2. Determine whether the vectors a and b are parallel, orthogonal or neither for the…

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Q: If y = ecos(x) then y" + sin(x) y' +cos(x)=

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Q: The cost, in dollars, to produce a vats of ice cream is C(x) = 10x + 10. When selling them to ice…

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Q: Give a general solution of the differential equation_D(D−2)³(D²+1)(D² − 5)(D² − 8D+19)² y = 0 .

A: Use the auxiliary equation  and homogenous differential equation.

Q: (x³-4x) dx

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Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

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Q: Find the open intervals where the function f(x) = − 2x³ + 6x² +172x-3 is concave upward or concave…

A: The given function f(x)=-2x3+6x2+172x-3

Q: Evaluate the following integral by using Odd and Even Powers Method: y = [₁ cos5 (1x) dx

A: We will evaluate the given integral by using odd and even power method in the following step.

Q: Use the Lagrangian method to minimize f(x, y, z) = x² + 2y² + z² s.t. x² + 2y + 3z = 8 Find the…

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Q: The function f is defined as follows. X if x #0 f(x) = 2 if x = 0 (a) Find the domain of the…

A: Solve the following

Q: 1. A 216-m² rectangular patch is to be enclosed by a fence and divided into two equal parts by…

A: To find the material needed.

Q: (x² - 12x + 9) dx (x²-3x + 2)²

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Q: Suppose that the marginal revenue from the sale of x units of a product is MR = R'(x) = 3e0.01x.…

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Q: Calculate the iterated integral. 1 '1 15 15(u - v)5 du dv

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Q: Find the derivatives of the following functions as specified: f(x) = sin(cos r), f"(x)

A: Given: so,       f'(x)=sincosx'         =coscosxcosx'          =coscosx-sinx         =-coscosxsinx

Q: 1. For the curve given by R(t) = (cost + tsin t)i + (sin t − t cost)j + (t^2)k, find a. the length…

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Q: 3 B 3! - What is the second derivative of the function f(x) = xex ?

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Q: Evaluate fea cos(2x) dx

A: We have to above integration

Q: The initial point of a vector v in V₂ is the origin and the terminal point is in quadrant II. If v…

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Q: 1. Find the area of the region that lies inside the cardioid T-1+ sin 0 and outside the circle r -…

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: The graph of a function f is shown. Use the graph to find f¹(-1). BE"F Cloudy OLO D O 99. OU Time…

A: To find out f-1(-1).

Q: Evaluate x³ + €

A: On solving this we will get

Q: 4) √₂° e¯*dx = 5) S- dx = 4x+5 x²+x-2

A: Given, ∫2∞ e-xdxLet I=∫2∞ e-xdxI=e-x-12∞I=-1ex2∞I=-1e∞--1e2I=-1∞--1e2I=0--1e2I=1e2Therefore∫2∞…

Q: Q2) Use the chain rule to express dy /dx in terms of x and y y = sint and t = cos x where t = 0

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Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

A: We need to find dy/dx.

Q: Sketch by symmetries and translations with find domain and range of the following curve: y = 2 +…

A: To sketch the curve.

Q: Y=t-2√√√x + X Find domin and ringe

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Q: Describe the transformation that can be applied to the parent function g(x) = e to obtain the graph…

A: Explanation of the answer is as follows

Q: Write a piecewise-defined function to model the monthly cost C(x) (in $) as a function of the number…

A: The Price wise function  is given below.

Q: Consider the function below. (If an answer does not exist, enter DNE.) C(x) = x¹/5(x + 6) (a) Find…

A: Let's solve.

Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = √ ₁²₂²³² Sa dx…

A: Given problem:-

Q: Evaluate the 106 -20 (-7m+300)

A: We need to evaluate: ∑m=-20106-7m+300

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+1k!…

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Q: Graph r(x) = 2x² 12x + 16 on the Cartesian plane to the right. To graph the function you'll first…

A: To find: The interval where increasing and decreasing also find maxima, minima, domain and range.…

Q: Determine the area of the region bounded by the curves y = x4 - x2 and y = x2 - 1

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Q: Using the polya's four step problem, how many square are in the figure?

A: Concept: Polya's four-step problem solving: (1). Recognize the issue.Sometimes the issue isn't so…

Q: Determine the area, in square units, of the region bounded by f(x)=−7x3−4x2+2x−1 and…

A: To find the area bounded first find the intersection of f(x) and g(x)

Q: # √² + y = 2 Y = 10 + 3X

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Q: Consider the following polynomial function. f(x)=x (x-1)(x + 1)² Answer the questions regarding the…

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