Find the area bounded by : f(x)=e*, g(x)=e* and x=3.

Q: 3x² dx

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Q: Find the slope of the line tangent to 2xy + π sin y = 2π through the point (1, π/2).

A: The slope of the line tangent to 2xy+πsin y=2π through the point 1,π2.

Q: 2. y = (x + 1)2 and y = -x + 1

A: Topic:- application of integration Note:- as per our guideline if more than one question uploaded…

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: Find the derivative of the function at Po in the direction of A. f(x,y,z)= -2 ex cos (yz),…

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Q: Sketch out the graph of ? = ?^2 + sqrt of ? + 1, and find its extrema, concavity, and points of…

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Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

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Q: 12-f(t)= -31 e-³¹ sin 2t t

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Q: 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 6-f(t)=cos't-

A: Answer highlighted 3 questions(2,4,6)

Q: Test the convergence of the following series. (a) Σ*, 1 (b) Σπ=1 2 (c) Σπι (d) Σ*-11+n=

A: We have to check convergency of given series

Q: D. Graph each of the given functions and solve for the area of the region that they enclose. 2. 4.…

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Q: Answer and give the complete solution. A 6-ft tall man is walking away from a 15-ft post at a rate…

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Q: A light shines from the top of a pole 15 m high. A ball is dropped from the same height from a point…

A: solution is here

Q: the integral: (u +3) du 1²5 -dx (3) √74³ cscxcotxdx

A: We have to find out integral

Q: lim x-2 x²+2x-8 x-2

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Q: 21) Write a function that has an infinite discontinuity at x = 100. 22) Write a function that is…

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Q: A plane flies at a speed 580 km/hr at a constant height of 12 km. How rapidly is the angle of…

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Q: Which of the following represents the graph of The line with y-intecept 7 and slope 100 The line…

A: Solution: Given: y=100x-7 Compare with y= mx+c where m is slope and c is the y- intercept  m=100 and…

Q: Consider the functions z = 6 ex In y, x= In (u cos v), and y = u sin v. əz əz (a) Express and du as…

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Q: 2. Find an equation for the plane that passes through the points P = (2,-1,3), Q = (0,0,5) and…

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Q: Which point is the center of the circle * 4x² + 4y² = 4y - 8x + 5? (-1,-/-) (1,-1) 2 2 Option 1…

A: This question is based on general equation of circle.

Q: Question 8 - Find the radius of convergence and interval of convergence of the series Σ (-3)”.x” √n…

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Q: L₁ |x|dx

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Q: What is the instantaneous rate of change of y=√√zat z=2? 0 ม O - O none of the above 0

A: The function is given by y = x To evaluate: The instantaneous rate of change of the function at x=2.

Q: Evaluate (2a³y +9y³)dA, D is the region bounded by y 33522 a. 5 Ob. 4811 5 C. None of the choices.…

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Q: 4. Consider the solid formed by the boundaries outside the elliptic paraboloid x² + y² = z and…

A: Given

Q: * (ارفق الاجابة) The eigen value of matrix 1 -1 O 1+i, 1-i O 1+i, 1+i O 1,-1 11 1-i, 1-i

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Q: 6. In(x³y²) = x² +y³

A: Let's find second derivative of given function.

Q: x y 1 x 2 y' equal with x(5)=6

A: Given query is to find the solution of the differential equation.

Q: f(x) = 4x²8x +3 x ² + x - 12 2

A: Given.

Q: b)show that: I(cosh at cos at) = 5²440*

A: This is a problem related to laplase transform. Here we will use convolution theorem for evaluating…

Q: Using Trapezoidal method ²x³dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

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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: 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: 24 24 The two-dimensional Laplace equation + = 0 describes the potentials and steady-state…

A: Given :f(x,y)=e7y sin(-7x)

Q: -21 1 (1 + 3x)2 dx

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Q: Draw a graph to match the description given. f(x) is increasing over (-∞o,-5) and decreasing over…

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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: Let R be the region bounded by the functions f(x) = 4x² + 6x and g(x) = -2x² - 6x as shown in the…

A: Given f(x)=4x2+6x, g(x)=2x2-6x Here point  intersection of f(x) and g(x) is x=-2 and x=0 Therefore…

Q: (tan x) = fu. v dx = (sin x) = | -=-=dx = (cos x) = fe" dx = | (arcsinx) = sec x tan x dx = secx tan…

A: We have to find out derivative and integral

Q: Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = = x² - x + 1 on…

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Q: U 4. Let f(x, y) = ey, where x = uv, y = a) Use chain rule to compute and af af Əv ди b) Express…

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Q: Evaluate the integral by interpreting it in terms of areas: (2) [+ |x|dx (1) L₂ (3+√4-2²) dx

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

A: Solution is here

Q: I5 = 2 -3 x 0(x - 1)dx

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = -9x² - 6xy -…

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Q: f(x) = 5x² - 8x + 15 3x² + 6x 12

A: here first we have  to find domain of function  here domain is which value we can put in function so…

Q: 10. y (e-3x+4 +2)/(e2+3x +1)

A: The given function is ; y=(e-3x+4+2)/(e2+3x+1).

Q: dx √81+16x² S

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Q: Given the general solution for nonhomogeneous equation with constant coefficient is y(x) = y(x) + y…

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