ral: Seln(2x²+3x-4)³ (4x+3)dx

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

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Q: Solve the following deferential equations b) -2√x √x

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Q: dy ssuming 5x³ +9y² − 4xy = 0 defines y as a differentiable function of x, use the theorem == dx Fy…

A: Given query is to find the derivative at indicated point.

Q: Find the slope of the line if it is defined. Through (6,10) and (6,-3) Select the correct choice…

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Q: Find the area bounded by : f(x)=e*, g(x) = e¯* and x=3. A (e²-1)² e² sq. units B (e³-1)² e3 sq.…

A: The region bounded by the curves f(x)=ex, g(x)=e-x and x=3

Q: (x²-3x+2) dx

A: Please see the below picture for detailed solution.

Q: (a) Find the vertex and axis of symmetry of the quadratic functi or concave down. (c) Graph the…

A: we have to vertex and axis of symmetry

Q: 12-f(t)= -31 e-³¹ sin 2t t

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Q: Use of an Auxiliary Variable Solve the equation. The sum of two positive numbers is 2. Find the…

A: see below the calculation

Q: Evaluate the improper integral (A) diverges (в B (C) ml+ 2 3 √√2²233/3dx 4

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Q: 1 √3 5) 2 2 / 9) (-1,0) 7) 3√3 3 2 2/3 " 2 ।

A: Topic = Geometry

Q: (1) [ Evaluate the indefinite integral by substitution: a+bx² dx 3ax+bx3 (2) / sec³xtanxdx T

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

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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: If f(x) = A B (C) tanx S 0 sec ³x 1+e tanx 1+tan²x 1+ e tanx 1+12 sec²x 1+e tanx In (coor) 1+ e'…

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Q: An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A: here lets assume width of rectangle is b length of rectangle is 2b width change is db/dt = 43 m /…

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: Let zy Find dx dt dy dt 3 and when I 2. 2.

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Q: 11. Determine whether the lines L₁ given by x=t, y = 1+ 2t, z = 2 + 3t, (with x < t < oo) and L₂…

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Q: Solve the integral

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

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

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

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

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: After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the…

A: answer is in next step

Q: Is the answer correct?

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Q: * Integral use to solve if series converges or diverges, give example if true or false

A: It is true that the integral is used to solve if the series converges or diverges. The method is…

Q: Use Disk Method to find the volume of the solid generated by revolving the R bounded by y = x, y =…

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Q: A body cools from 75°C to 70°C in 2 minutes. What will additional time (in minutes) it takes to cool…

A: Topic:  Newton's Law of cooling using application of calculus

Q: - 1₁₂ (3+√4-2²³) dx -2

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Q: D. Graph each of the given functions and solve for the area of the region that they enclose. 1. f(x)…

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Q: y = 3t 1+t³ X= 3t 31² 1+t²³

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Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

A: Solved below.

Q: y= 3 Arcsec 3x

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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: The improper integral A) 0 B 1 C D e +∞o Sto 0 8 ex dx is

A: On solving this we will get

Q: x³-8 4 x+2 x 16 2. lim

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Q: 4x² + 4y² = 4y - 8x + 5?

A: equation can be written as 4x2+4y2-4y+8x-5=0 ⇒x2+y2-y+2x-54=0 Recall: if the general circle equation…

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

A: Given

Q: When applying integration by parts to the integral I = [In(h (x))da, with h a differentiable…

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Q: II. Let F(x)= ecosh z √x+1 1. Find F(0). 2. Find F'(x). sin(1-t) dt.

A: Let Fx=∫x+1cosh x sin1-t dt.1 To find F0.2 To find F'x.

Q: Question Find the volume of the solid whose base is a circle with radius 25 that has cross-sections…

A: Solution:

Q: Sx² + 4 ; x<2 Question (4): Using the definition, determine whether the function f(x) = (3x + 2 = ;…

A: here we have to check from left hand side of x = 2  and right hand side of x = 2 it means lim…

Q: y = tan e³x + etan3x

A: (tan x)' = sec2(x) (eax)' = a eax.

Q: (a)Estimate the area under the graph of f(x) = 1/x from x = 1 to x = 2 using five approximating…

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

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

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