Find the mass and the center of mass of the lamina with density p(x, y) = and occupies the √y x² rectangular region 1≤x≤3 and 0≤y≤4.

Q: 04: Find dy/dx for the following function:: (Choose only four) (1) y = sinh1(tanx) (2) y = 7esv2x+3…

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Q: Solvedy =dy +4y=2= dx

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Q: 5) Find all values of x for which En=1 nxn (n+1)(2x+1)n converges absolutely.

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Q: Find Mx, My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equations.…

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Q: Exercise 0 * Calculate integral below where I is a stright line Connecting the points [-1,3] and [2,…

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Q: Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each…

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Q: Evaluate the integral f sin²x cos³xdx.

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Q: Find the y'" if y = x lnx 07/1/201 O-+ 01/1 0 - 1/2 Find the first derivative of y = tan? x cosh’ x…

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Q: The base of a three-dimensional figure is bound by the line y = -x + 3 on the interval [-1, 1].…

A: Here, the cross-section is perpendicular to the x-axis. Therefore, the area is a function os x.

Q: 33° 45° 87° 60° 35° 30° Drag each reference angle above to the corresponding angle below. Answers…

A: Given :(1) 93° (2) 215°(3)-150° (4)-60°(5)765°(6) 480°

Q: -5 6 3)If So √3x+1 dx then the solution is: 10 O 12 O 16 O

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Q: If y₁ and y2 are linearly independent solutions of ty" + 4y' + te³y = 0 and if W(y₁, y2)(1) = 3,…

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Q: Find the particular solution to the differential equation dy dr sin(x)-3 that satisfies the…

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Q: Suppose that f(x, y) = 2x + 3y and the region D is given by {(x, y) | −1≤ x ≤ 5, − 1 ≤ y ≤ 5}. D…

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Q: 2 IF □ is defined by ▼ ах functions and A&B are differentiable Show that • (A+B) = √•A + V•B. = it 2…

A: Please see the below picture for detailed solution.

Q: b. 1 1 + In u น - du

A: We can you evaluate the given integral by using the substitution v = ln u

Q: (i) Find f(4). Select the correct choice below, and fill in the answer box if necessary. OA. f(4)=…

A: We have to find the limits.

Q: Given the function f(x) = x² + Draw a sketch of the graph of f. 16 X x>0

A: Solution is given below:

Q: Evaluate the integral. 1 √2√2 ²² √2-4° dt t³

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Q: H.W (5) 4 Solve the following differential equations of -0 -(x² + y²)dx + (2xy + cos y) dy 2rud dy

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Q: The interest on an account increases exponentially. If an initial investment of $4000 earns $1300 in…

A: Given the interest increases exponentially. The investment is $4000 and the interest in 3 years is…

Q: If the demand for a pair of shoes is given by 2p+ 5q = 200 and the supply function for it is p-2q =…

A: In this question, we want to compare the quantity demanded and the quantity supplied for a pair of…

Q: x-1 +1 1-z Q1) Find equation of plane normal to line *-¹ == and pass through line 3 2 1 x=y=2.

A: Concept: The standard form of the line is x-x0a=y-y0b=z-z0c Here a, b c represents the normal…

Q: Determine whether the given sequence converges or diverges. If it converges, calculate its limit. An…

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Q: (6) Solve the following differential equations of 1-(x+3x³ sin y) dx + (x² cos y) dy = 0

A: The given differential equation is;  (x+3x3siny) dx+(x4cosy) dy=0. Repost the next questions.

Q: Solve the initial-value problem. xy' = y + 2x² sin(x), y(¹) = 0

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Q: √x²+25 - dx= x X=5secØ and Ø = sec الخيار رقم 1 0 X=5tan and Ø = tan-¹) X=5sinØ and Ø = sin ||| خيار…

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Q: This is the graph of the quadratic function rx)=-x²+bx+c 3 (The scale on the x-axis is not…

A: Given graph:-

Q: To measure a stone face carved on the side of a mountain, two sightings 850 feet from the base of…

A: Height and distance

Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

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Q: Consider the following curve. y = (x+2)/(x-6) Find the slope m of the tangent line at the point (5,…

A: Here we have to use the concept of derivatives

Q: Find the absolute extrema of the function f(x)= 8x3+ 81x2−42x−8 on the interval [−8,2]. 1. Find the…

A: Graph: For (1), Given: f(x)= 8x3+ 81x2−42x−8 on the interval [−8,2]. From the graph, it can be…

Q: Determine the critical points of f(x) = 8x3+81x2−42x−8.

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Q: Determine the equilibrium price and quantity of a company whose demand and supply functions are q =…

A: We have to find price and quantity.

Q: Find the Wronskian of the functions f(t) = 3et sin(t) and g(t) = et cos(t). NOTE: Your answer must…

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Q: 3: Evaluate the following integrals: (2) 4*+23x - dx 2x

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Q: The base of a three-dimensional figure is bound by the graph x = sin(y) + 1 on the interval [0, π].…

A: We have to find the area of each triangle.

Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

A: rate of profit in thousands of dollars after t years,P'(t)=10t+10t2+2t+213

Q: Solve the following algebraic and trigonometric functions by parts. | a) [ x2cosx dx b) √ xlnx dx c)…

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Q: 2. ₂(x³ - 3x + 1)dx

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Q: Find the volume generated by revolving the given plane area about the given line, using: I.) Sketch…

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Q: Find the exact length of the curve described by the parametric equations. x = 5 + 6t², y = 3 + 4t³,…

A: Find the length of the curve   x= 5+t2 ,y= 3+4t2 , 0<=t<=1 .

Q: (t² + 2t) dx = 2x + 8, x(1) = 1 dt

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Q: A marshy region used for agricultural drainage has become contaminated with a particular element. It…

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Q: Consider the vector between (-2,-5, -3) and (5, 10,7). 1. The vector is 2. The length of vis 3. If…

A: Consider the vector between (-2,-5, -3) and (5, 10,7).

Q: X (A) (2) +²2+ (x²+5)) 2x dx + (x+y)dy = 0 - 40 + (8 +)

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Q: Find Mx, My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equat…

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Q: A stereo store is offering a special price on a complete set of components (receiver, compact disc…

A: A stereo store is offering a special price on a complete set of components(receiver,compact sick…

Q: 8. Given f(x)=x+3 and g(x)=4 – x², find g(f(x)) and f(g(x)). 9. Given f(x)=x²+4x-9 and g(x)=-4x² –…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We have to sketch the graph of given function.