lim x-1 d x3+5 xa - X-5 * ха x2 + 4x -5

Q: y 2 y = f'(x) 4 6 x

A: here , we have graph of the derivative of function  f means  f' :-then finding following :-(a)…

Q: Show that the scalar field = 1/R], which is defined everywhere except at the origin, is a potential…

A: If f is a function then ∇f=fxi+fyj+fzk. f is a potential function of F if ∇f=F

Q: Compute the product. This exercise should be done two ways: by hand and by using technology where…

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Q: Determine the amplitude and period of the function s(t) = 0.4cos(t + pi ) + 9 without graphing the…

A: Determine the amplitude and period of the function s(t) = 0.4cos(t + pi ) + 9 without graphing the…

Q: Suppose the amount of a drug left in the body t hours after administration is mg. Find the rate of…

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Q: What are the solutions to the equation 3x² + 6x + 5 = 0? A B C D - 1 t −3+√6i 6 ± −1+ 3 i 2√6 ∙i w/²

A: 3x2+6x+5=0we know  -1=iwhere i is stand for iyota

Q: Find the eigenvalues and a corresponding eigenvector to the matrix: -2 3 A=(7²8). 10

A: Form the characteristic elation and solve to get eigenvalues and the corresponding eigenvector.

Q: Find the gradient of the function at the given point. Function Point f(x, y) (4, 5) Vf(4, 5) = x +…

A: Given function:- fx,y=x+5yy+1

Q: PLS do fast within 5 minutes and i will give like for sure Solution must be in typed form The…

A: How can both x-intercept s be determined if the equation y=-(x+6)(x-3) is given?

Q: Find the extreme values of the function f(x,y,z) = 5xy + 5z² on the circle in which the plane y - x…

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Q: Find the arc length of the curve y (x = O O O O 4 3 O 8 5 7 + from x = 0 to x = 3.

A: y=(x+59)32 from x=0 to x=3arc length(L)=∫x1x21+(dydx)2dxd dx(xn)=nxn-1

Q: A student takes out a college loan of $4000 at an annual percentage rate of 3%, compounded monthly…

A: Given data: Principal, P =$4000 Rate, r=3% Since the interest is compounded monthly, n=12

Q: does that mean that the property i provided doesn't exist?

A: The answer is in step 2.

Q: 3. Identify the graph of f(x,y)=x²-x+3y² +12y-13, state where it attains its minimum value, and find…

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Q: Evaluate Solution √²+z²dv, where E is the region bounded by the paraboloid y = x² + z² and the plane…

A: TOPIC:TRIPLE INTEGRAL

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 64 4…

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Q: The region in the first quadrant between the x-axis and y = x² from x = 0 to x = 4 is rotated about…

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Q: Solve the given differential equation. ex² dy=x√/9-ydx Choose the correct answer below. =9-²+C 4 ○…

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Q: Find numbers a and b so that f'(1) exists for ax² + b 1 x² f(x) = if if x 1.

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Q: What region R in the xy-plane maximizes the value of R (16-3x² - 2y²) dA? R is the set of points…

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

Q: For each problem, sketch the region bounded by the graphs of the functions and find the area of the…

A: Integration means to find the area under any curve. Use the formula ∫xn dx=xn+1n+1 Area of a square…

Q: (g) Graph the position, velocity, and acceleration functions for 0 ≤ t ≤ 6. O 30 20 -10 10 O 30 20…

A: Given that , ft=t3-9t2+24t

Q: If the marginal cost of producing x units of a commodity is given by  C'(x) = 0.3x2 + 2x and the…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=6ey-3ye* Select…

A: The function is given as , fx,y=6ey-3yex find all local maxima , local minima and saddle points.

Q: Using the given graph of a curve y = f(x), determine whether each of the derivatives given below are…

A: Here we have to observe the graph.

Q: If position is given by p(t) = -1² + 5t, what is the veloci v(t) at t = 2? ov(2) = 2 ov(2) = -1

A: note :- since  you have asked multiple asked questions but accoeding to bartleby  guidelines i unly…

Q: Find the average height of the paraboloid z = x² + y² over the square 0≤x≤3, 0≤ y ≤3. The average…

A: Given data The equation of paraboloid is, z=x2+y2. The limits of the square is 0≤x≤3, 0≤y≤3.

Q: A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius…

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Q: Sketch the region of integration and evaluate by changing to polar coordinates: 10 f(x) L L For…

A: To find:- ∫510∫0fx1x2+y2dydx fx=10x-x2

Q: Determine whether the sequence converges. If it does, find the limit. (-1)" In n (a) an = 5n³ (b) an…

A: We have to find whether the sequence converges or not.

Q: 1. Determine the area bound by the following functions and double- check your answer.. y = 4x² + 1,…

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Q: Consider the following. Rewrite the given integral as an iterated integral. A = B = J (x - y) dV,…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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

Q: Let D be the region bounded by the graph of y = 1 - x4, the x-axis and the y-axis in the first…

A: The given data is: y=1-x4x=0y=0

Q: For the function f(x)= 5x x-4 find f'''(x), the third derivative of f, and f(4) (x), the fourth…

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Q: Find y" by implicit differentiation. x² +9y² = 9 y" =

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Q: Integrate the following function with respect to x using partial fraction 2x - 3 r2 – 52 +6 and…

A: Given: ∫012x-3x2-5x+6dx

Q: At what points is the following function continuous? 6x tan x x² + 3 y= Choose the correct answer…

A: Given function:- y=6xtanxx2+3

Q: Please find the equation of the line if the given x and y intercepts respectively is -7/4, 3/2

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Q: solve it by hand step by step expline each steps dx dt dy dt = 3x(t) - 4y(t) + 1 = 4x(t)-7y(t) + 10t

A: The answer is in step 2.

Q: To find the extreme values of a function f(x,y) on a curve x = x(t), y = y(t), treat f as a function…

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Q: Justify parts a-d with a 2) Given: f(x)=x+3 a) Find all intervals of increase and decrease. b) Find…

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Q: Video Example Evaluate = √√√elt². Solution e(x² + y² + z²j3/2 where B is the ball: B = = {(x, y, z)…

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Q: Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and…

A: since it is given that, Sodium chlorate crystals are easy to grow in the shape of cubes by allowing…

Q: Find a plane through the points (-5,-6,2), (2,5,7), (-6,-4,6)

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Q: Use l'Hôpital's Rule to find the limit. t³-4t+15 lim t→-3 t²-t-12

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Q: Throughout this problem, consider R to be the region between the curves f(x) = 2x and g(x) = x³ in…

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Q: Find the profit function if cost and revenue are given by C(x)= 150 +3.7x and R(x)= 3x -0.06x²

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Q: Find the differences in the given base. 51 six (a) (b) (c) (d) 22 six six 501 six 222 six six 753,…

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