Evaluate the integral. - In 2 2e° cosh Ꮎ ᏧᎾ - In 12 - In 2 2e cosh 0 d0 = [ - In 12 (Type an exact answer.)

Q: Identify and sketch the following surfaces (a) z= x² + 4x + y² − 2y + 8

A: Given equation:- z=x2+4x+y2-2y+8

Q: Estimate the limit numerically or state that the limit does not exist; 8 sin (3x) sin(2x) lim x-0

A:

Q: calculate the volume of the shape obtained by rotating the region bound by f(x)=x/4 and g(x)=…

A:

Q: 13. y = √5 + x², y=0, x=0, x=2

A:

Q: Find the area of the parallelogram with sides a = i9j+ k and b = 6i + j + k.

A:

Q: lim, 2+ f(x) = →2+ lim 2- f(x) =

A: Given query is to find indicated limit.

Q: Find a particular solution to the differential equation using the Method of Undetermined…

A: Given differential equation x''( t ) - 6x'( t ) + 9x( t ) = te3t

Q: Write the solution set of the related homogeneous system, Az = 0, in parametric form if A is row…

A: The given matrix is 1-222-1701-95. We have to find the general solution of the system.

Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: The given integral: ∫24sinttdt   ; n=4We need to approximate the given integral using the…

Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A:

Q: dentify and sketch using families of traces the surface (x - 1)² – (y + 3)² z² + 4z = 1.

A: We need to Identify and sketch using families of traces the surface (x - 1) ^ 2 - (y + 3) ^ 2 - z ^…

Q: If N is the number of bacteria in a petri dish, and bacteria population is decreasing exponentially,…

A:

Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

A: we need to find out the number of initial bacterias.

Q: The height h (in feet) of an object falling from a tall building is given by the function h(t) = 400…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple…

Q: Mary Stahley invested $6500 in a 60-month certificate of deposit (CD) that earned 6.5% annual simple…

A:

Q: Prove that  1+tan^2(Z) =sec^2(Z)

A:

Q: Find the general solution of the differential equation: y'+2y = xyz. Use lower case c for the…

A: Given differential equation y' + 2y = xy52

Q: 11. Let f(x) = x³ - 2x² + x-1 so f(1) = -1 and f(2)= 1. Let g be the X inverse of f; that is, g(x) =…

A:

Q: 11002. Use the method of cylindrical shells to find the volume V generated by rotating the y = 6(x -…

A:

Q: Find the indicated higher derivative of the given function. f(x) = x59x² + 3x² +5; find f"(x) f"(x)…

A:

Q: Set up, but do not evaluate, an integral for the length of the curve. y = 8x³, 2 6² (0 0≤x≤2 dx

A:

Q: Find a + b, 2a + 3b, |a], and la – bl. a = 5i - 6j + 5k, b = 2j - k a + b = 2a + 3b = |a| = |a - b =

A: NOTE: Refresh your page if you can't see any equations. . here we have .

Q: On a certain calculator, the inverse tangent function returns a value between 290° and 190°. In what…

A: On a certain calculator, the inverse tangent function returns a value between 290° and 190°. In what…

Q: If cos(t) =(4)/(7) and t is in the 4th quadrant, find sin(t).

A:

Q: Solve 2ayy' 4x² + 3y² 42

A:

Q: Find the centroid for f(x)=(1-x)^2 , g(x)= (x+1)

A: Given data:  Find the centroid for f(x)=(1-x)^2 , g(x)= (x+1)

Q: Find an equation for the plane that passes through the following points. (3, -1, 4), (0, 0, 5), and…

A:

Q: (c) a = i + 2j + 4k, b = 2i + 3j - k O orthogonal O parallel O neither

A: according to policy we do only first psrt of multiple there for re post other parts in next question…

Q: Use the graph of a function f to determine x or y to the nearest integer, as indicated. Some…

A: Find x

Q: Find the value of the constant b that makes the following function continuous on (-∞, ∞). (2x - 6 if…

A:

Q: A developer is considering buying a building for $267,000. She will use a straight-line depreciation…

A: given in 60 months , recovery value  is  $0initial value is $267000let y be the value of the…

Q: 4. Use the limit theorem to find 44²-7 (i) 2u³+5n lim 4-780 In nxo 2n+1 (ii) lim

A: INTRODUCTION The domain and range of a function are two important mathematical concepts that affect…

Q: Consider this series. 16 + ¹15 + (−1) + (− 2) + ... Does the series converge or diverge? Select…

A: We need to find out that the given series is converging, or diverging.

Q: Find the following limit or state that it does not exist. x-15 √√x - √15 lim X-15 V Simplify the…

A: We can factories x-15 .

Q: Determine where the function f(x)=2x-7 is continuous. The function is continuous on (Simplify your…

A:

Q: Find the angle between vectors u = (-9, -6, -1) and v= (3, 6, 4). Express the answer in radians…

A:

Q: Find the average value have of the function h on the given interval. h(u) = n(u), [1,6] U h₂ ave =

A:

Q: Find the distance from A (-6,7,8) to the line x = 3t +1, y = -t +3, z = 6t

A:

Q: If $900 is invested in an account that pays 3% compounded annually, the total amount, A(t), in the…

A: The given data is: At=9001.03t Now  A0=9001.030=900A4=9001.034=1012.9579A8=9001.038=1140.0930

Q: Evaluate the function f(x) at the given numbers (correct to six decimal places). x² - 8x f(x) = x²…

A:

Q: Find the limit: a) lim x → 5 6) lim X->-6+ c) lim X->>4 d) lim 3X X-5 5x+1 x+6 3X x³-64 6 X-> X²+2

A: The given limit is: a). limx→5-3xx-5

Q: Find the value of the constant b that makes the following function continuous on (-∞, ∞). (3x - 4 b…

A:

Q: Evaluate the integral. (20t³ i − 9t² j + 10t4 k) dt -

A: let   A=∫01(20t3i-9t2j+10t4k)dtwe know  ∫tndt=tn+1n+1+c

Q: Find equations of the tangent line and normal line to the given curve at the specified point. 3x…

A:

Q: The logistic growth model P(t) = 100 1+32.33e-0.439t represents the population of bacreriums after t…

A: GivenThe logistic growth model is P(t)=1001+32.33e-0.439t   We are required to find a. Carrying…

Q: Find the average rate of change for the function over the given interval. y=x² + 6x between x = 3…

A: Given: y = x2+6x Between x=3 and x=9

Q: Find the parametric equations of the intersection of the planes x + (y - 4) + z = 0 and -x + (y + 4)…

A:

Q: (c) Find an equation for the plane that is perpendicular to the line 1(t) = (7, 0, 9)t + (4, −1, 1)…

A: Question - (c) Find an equation for the plane that is perpendicular to the line I(t) = (7, 0, 9)t +…

Q: B. Find the distance between the line 3x - y = 0 and the point (2,-4).

A:

Q: Find the average rate of change of the function over the given interval y = √√5x + 1; between x = 3…

A: NOTE: Refresh your page if you can't see any equations. . take x=3