Σ(1) n=3 4 0.8n

Q: A stone is thrown from the top of a tall cliff. Its acceleration is a constant -32 ft (So A(t) =…

A:

Q: Present Value of an Investment Jada deposited an amount of money in a bank 7 years ago. If the bank…

A: NOTE: Refresh your page if you can't see any equations. . the future value is A=18000 number of…

Q: If f (x) = ln x, then lim I-3 А B D In 3 nonexistent f(x)-f(3) is

A:

Q: The graph of f is shown in the figure. 6 -2 f 24 6

A:

Q: Given the tangent to y = lnx is y = its equation. at (e, 1). Find a parallel tangent to y = e* and…

A: Given that the tangent to y = lnx is y=(1/2)x at (e,1).  Here we have to find a parallel tangent to…

Q: Use the chain rule to find the value of   dz dt when  t = 1. z  =  3x − 4y2,     x  =  t2 + 3,…

A:

Q: Find the curvature of the curve defined by r(t) = (3 cos(t), 4 sin(t)) 3π 4 at t

A:

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. (3, 6,…

A:

Q: Find the area of the shaded region. f(x)=x²-8x³ +24x²2. g(x) = 19x+52 The area is. (Type an integer…

A: NOTE: Refresh your page if you can't see any equations. . the given functions are intersection…

Q: Evaluate (x+y)ds where C is the straight-line segment x = 3t, y = (6-3t), z = 0 from f(x+y) C…

A: The given integral: ∫Cx+ydswhere C is the straight-line segment x=3t, y=6-3t, z=0 from 0,6,0 to…

Q: 8 Σ (—1)k+1xk k

A:

Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

A:

Q: A rectangle is inscribed between the x-axis and the parabola y = 12 - 2² as shown in the figure

A: Let point of rectangle of x axis = ( x , 0) Therefore, Point on curve (x , 12-x2)

Q: Find the curvature of the function Y 1 at x = 2. Find the radius of curvature at x = = 2.

A:

Q: b. f(x+5)-¹/2³/z+5

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 6x - 2y lim (x,y) → (2, 6)…

A:

Q: Find the curvature of the curve r(t). r(t) = (2+ In(sec t))i + (6 + t)k, -л/2 < t < π/2

A: We need to find curvature of curve.

Q: Find the centroid (x, y) of the triangle with vertices at (0, 0), (7,0), and (0,6). 18 TA = =

A: We have given vertices of a triangle and we have to find the centroid.

Q: A line's graph is given. This line's slope-intercept equation is If you would like to enlarge the…

A: Equation of line passing through two points ( x1 , y1 ) &amp; ( x2 , y2 ) is given by y - y1 = y2 -…

Q: Work. An open tank has the shape of a right circular cone. The tank is 5 feet across the top and 20…

A: Work = Distance*density*volumeVolume of…

Q: Use Separation of Variables to find the general solution. 3y' = x sec (y) (Express numbers in exact…

A:

Q: If the function f(x) is quadratic with zeros x=-6, and x=-2, then the axis of symmetry must have an…

A: Function f(x) is quadratic Function, Zeros of Function f(x) : x=-6, and x=-2.

Q: For the following two p-series, state whether it is convergent or divergent and why? ∞ (Α). Σ (Β)…

A:

Q: A poster of area 960 cm² has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

A:

Q: Calculate the volume of the solid obtained if the plane region R bounded by y=x and x= 4y - y2 is…

A: Region R bounded by y=x and x=4y-y2

Q: 1. Find the absolute maximum and minimum values of f(x) = x³ + 3x² 24x+1 on [-1,6].

A: f(x)=x3+3x2-24x+1(i) d dx(xn)=nxn-1(ii)  d dx(constant)=0for critial points put f'(x)=

Q: The altitude in feet attained by a model rocket t seconds into flight is given by the function h(t).…

A: The altitude in feet attained by a model rocket t seconds into flight is given by the function h(t).…

Q: Find the length of the curve x(t) = e²t cos(t), y = e2t sin(t) for 0 ≤ t ≤ 4. Give an exact answer,…

A:

Q: Problem 10. Consider the following first order differential equation. Check that it is separable.…

A: The given equation is:(e-5x+y+ey)y'=5

Q: Calculate the sum of the series Sn=7-3(0.8)" Σ t=1 whose partial sums are given.

A: NOTE: Refresh your page if you can't see any equations. . the given partial sum is

Q: Given the vector function r(t) = (-t, - 2t³, 5t5 + 1) Find the velocity and acceleration vectors at…

A:

Q: Locate any extrema of the function f(x) = 2x2". State only the EXACT x-value of th extrema.

A: f(x)=2x2x

Q: 10. Determine the volume of the solid generated if the area bounded by the curve y = (x² - 1)² and…

A:

Q: Approximate the area under the curve graphed below from x=2 to x = 5 using a Left Endpoint…

A: To approximate the area under the curve graphed below from x=2 to x=5 using a Left Endpoint…

Q: Find the following limit. lim

A:

Q: Find the divergence of the field. F=3zexyzi + 3zexyzj + 3yexyzk div F =

A:

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A:

Q: Let f(x) = x²-7X, 9(x) = sin(x) and P(x) = { *³²³²^(x), *²0 x=0 a) use the limit definition of the…

A: We need to find derivative of given function.

Q: 2. Let f,g: R → R³ be differentiable functions. Show that d dt (f(t) × g(t)) = d d f(t) × g(t) +…

A:

Q: After a foreign substance is introduced into the blood, the rate at which antibodies are made is…

A:

Q: 3. In this problem, you may use the following formulae without further justification: Σ k²³ = (n(n +…

A: As per guidelines, we can solve only 3 subparts if multiple subparts are posted. Please repost the…

Q: Use the Integral Test to determine whether the series is convergent or divergent. Σn³e-nº n = 1…

A:

Q: 6. Suppose that h(x) = g(f(x)) is a function where f(1) = 2 and f'(1) = 3, g(1) = 7, g'(1) = -4,…

A: Given thath(x)=g(f(x))f(1)=2, f'(1)=3, g(1)=7, g(2)=6, g'(2)=1We need to find tangent to h(x) at…

Q: The curves F1(t)= (-2t, t, 4t) and 2(t) = (sin(3t), sin(4t), t - 7) intersect at the origin. Find…

A: NOTE: Refresh your page if you can't see any equations. . both curves intersect at the origin…

Q: A.)Derive the formula V × (F × G) = (VG)F – (V.F)G – (F · V)G + (G.V)F. KDO Opet sap gom!!!

A:

Q: The marginal revenue from selling x cameras is 165 - 0.06x dollars per camera. Find the revenue…

A: given marginal revenue is 165-0.06x given R(0)=0

Q: Calculate the following sums. Use symbolic notation and fractions where needed.) (2) Σ 9 = i=1 (b) Σ…

A:

Q: The expression equals z/yt where r, the exponent of x, is: t, the exponent of y, is: 4, 4/7 (2¹4)…

A:

Q: the absolute maximum and minimum of the function on the given closed interval. 3 x³-²/x², [-1,2] 2…

A: The given function is: fx=x3-32x2.The given closed interval: -1,2.We have to find the absolute…

Q: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE.) 9x³…

A: We have to find asymptotes.