COS (+3 O cos x Ocos 2x O sin a Ocos z +x) + cos (-) is equivalent to:

Q: - EXAMPLE 3 Find the particular solution of 3xy' y = lnx + 1, satisfying y(1) = -2. x > 0,

A: It is a first order differential equation.

Q: 8. Graph the rational function. horizontal asymptotes. 3x-12 a. r(x)= x+1 Show clearly all x- and…

A: Graphs are to be drawn first and then asymptotes and intercepts need to be marked.

Q: 1. Consider a point in Cartesian coordinates given by (3√/3, -3, -8). (a) Find a corresponding…

A: Given, (x,y,z)= (3√3,-3,-8)

Q: Determine the graph of g = x^2 + sqrt of (x + 1) and solve for its extrema, concavity, and points of…

A: Please see the below picture for detailed solution.

Q: Write a linear cost function for the situation. Identify all variables used. A parking garage…

A: Given query is to find the cost function.

Q: A farmer finds that if she plants 75 trees per acre, each tree will yield 50 bushels of fruit. She…

A: Given this problem we find how many trees should she plant per acre to maximize her harvest.   Here…

Q: d^2B(u)/du^2 ,but where B(u)= 1/(1+u)^7

A: Given B(u)=1(1+u)7To find d2[Bu]du2:

Q: Question Find the average value of f(x)=√x-8 over the interval [0, 2]. Submit an exact answer using…

A:

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = − 9x² - 2xy –…

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Q: What is the equation of a line with a slope of 5 and passing through the intersection of the lines…

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Q: Find the value of x If f'(3) = 52? 1 2 4 f(x) -2 8 X

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Q: Answer and give a complete solution. A ladder 25 ft long stands against a wall. The lower end is…

A:

Q: (D² - 4D + 4)y= e2x sec²x

A: Reduction of order and variation of parameter (D^2-4D+4)y=e^(2x)sec^x

Q: B-Find the center of mass of the region bounded above by the half circle y = √ Na²-x² and below by…

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Q: Find the area enclosed by r² = 4 sin 20.

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Q: Find the area under the graph off over the interval [1,4]. x+7, for x ≤2 f(x) = 11-x, for x>2 The…

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Q: (6x5+2x) dx

A:

Q: ff. W Ex] Let f(x) = 4x²+2x²+x+3 and :f(x), g(x) € 75[x] f(x). g(x). g(x) = 3x² + 3x²³² + 3x² + x…

A:

Q: 4 cos z at the point (5,2). The Find the equation of the tangent line to the curve y = 2 sec z…

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Q: A population declines according to the model, 25,000(0,95) where A is the population t years after…

A: To solve the following problem

Q: Write an equation for the line through the point (1,3) parallel to the line y = x + 10. Oy=z O y =…

A: Given query is to find the Indicated line.

Q: (b)show that: I(cosh at cos at)=; s*+40*

A: This question can be solved using the concept of Laplace transform.

Q: Find the slope of the tangent line that passes through point (1, 2) to the graph 8y³ + x²y O-2/97…

A:

Q: Fiind a33 of an arithmetic sequence if the common difference is -1 and a1=3

A:

Q: Evaluate the double integral: A) 40 B) 60 C30 D) 80 ²² (3x² +9y²)dxdy

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Q: (x²-3x+2) dx

A: Please see the below picture for detailed solution.

Q: Find the following integrals a) f_d dx x√In x

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: We have to find the rate of change of volume.

Q: Determine the integral: x²cosxdx (A) x²sinx+2xcosx-2sinx + C (B) x²sinx-2xcosx+2sinx + C…

A: topic- indefinite integral

Q: To evaluate the integral si sin³0cc 1³0cos 60d0 by trigonometric transformation, we use the identity…

A:

Q: 5x+√x 3.y=(x²+1)² 4. Using y = 5x + 3x² + 1, find all the derivatives and evaluate f"(2) f(3) (-2).…

A:

Q: alculate the amplitude and period of the function: f(x) = 3 sin(a) - 1 O Amplitude: 1, period: 2.…

A: Given query is to find the amplitude and the period of the function.

Q: What is the slope of the line passing through the points M (m,O) and N (n.0) with m #n? O 1 Oo m-n…

A: slope=? M(m,0) and N(n,0) M(x1,y1) and N(x2,y2)

Q: Question Evaluate the indefinite integral given below. Provide your answer below: f(sin³(x)-3…

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Q: A company selling widgets has found that the number of items sold & depends upon the price p at…

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Q: x³-8 4 x+2 x 16 2. lim

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Q: Car X is travelling west at 20 kph and Car Y is travelling south at 30 kph. Both are headed for a…

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Q: 25 5+7x x dx

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Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship…

A:

Q: Let f(x)=6x²-5 to find the following value. f(t+1) f(t+1) = 0

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Q: J (u-2) (u+3) du

A:

Q: SHE 1+ (In x)' = dx = (sec x) = f sin x dx = [cos.x dx = (arctan x)': = [f(x) g(x)] = ==dx =

A:

Q: let W = (x₁ +₁2) be jointly discrete. valid joint pdf a random vector. Contract of W (with atleast…

A: answer is in next step

Q: Find the derivative of the function at Po in the direction of u. x-y g(x,y)= xy+2 Po(1,-1), u=12i+5j…

A: Given :g(x,y)=x-yxy+2u=12i+5j

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min.…

A: V=4πr3/3 dr/dt = 0.1 cm/min dV/dt =?   dV/dt = 4πr2(dr/dt)   dV/dt = 4(3.14)(9)2(0.1) dV/dt = 101.73…

Q: Classify the following differential equation: Second order, nonlinear Nonlinear, homogeneous Linear,…

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Q: Verify that * / II 21 ?х ду 224 ду ох - for f(x, y) = 4x4y3 - 6xy5.

A:

Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and…

A: We have to find volume

Q: Solve for r in terms of P, n, and t: P = (1 + =) ² Or=(nP-1) Or=In(P)-1 Or = n(P-1) Or="(P-1) T=…

A:

Q: The sum of two numbers is k. Find the minimum value of the sum of their cubes.

A: Given