Find the area of the surface generated by revolving the curve about the given axis. x = 9 cos(8), y = 9 sin(0), 0≤0 ≤ ¹, SOS=1 y-axis 2

Q: Suppose that the monthly marginal cost for smokejumper harness straps is C'(x) = 3.5x + 95 and the…

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Q: Question 7 Evaluate the given definite 23 In 1

A: Given query is to find the integral.

Q: Use the Ratio Test to determine if the series converges. 80 7(k!)² Σ 4(2k)! k=1 Select the correct…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  substitute k+1…

Q: The general solution of the D.E. (x³ + 3xy²)dx + (3x²y + y³)dy = 0 is a. (x² + 6x²y² + y4) = c O (a)…

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Q: Question Classify the graph of the polar equation r = Select the correct answer below: Cardioid…

A: Solution: We know that  Equation r=a sin(b theta) --(1) then the graph is Rose

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: Let F(t) = (3t² + 5, 2e-5t, 3 sin(3t)) Find the unit tangent vector T (t) at the point t = 0. Round…

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Q: 5. Suppose that a cannonball is launched from ground level at an angle of 40° with an initial speed…

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Q: For the sequence an its first term is its second term is its third term is its fourth term is (-1)"7…

A: an=(-1)n7n2for first term put n=1

Q: ind an equation of the tangent plane to the surface z² y + In(2y — z) at the point (1,1,1). X

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Q: Find the minimum and maximum of f(x, y, z) = x² + y² + z² subject to two constraints, x + 2y + z = 8…

A: We have to find the maximum and minimum of given function.

Q: 14. A species of freshwater fish called Perch was introduced into a large lake. The equation below…

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Q: h(t) = 4e5t-7t-3 Determine the value of h'(-1).

A: Given query is to find indicated derivative.

Q: Using identities to simplify completely trigonometric expression below :  sec t / tan t    *I…

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Q: Find the eigenvalues An and eigenfunctions yn(x) for the given boundary-value problem. (Give your…

A: Find the eigenvalues An and eigenfunctions yn(x) for the given boundary-value problem. (Give your…

Q: Simplifying the logarithmic expression log, b³ - 3 log, a + 5log, a¹b will give you m+nlog, a The…

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Q: (b) Use Laplace transform to solve the following systems of equations y' + x = e³t x' - y = 0 1 x(0)…

A: Let's solve given two parallel differential equations.

Q: Consider a triangle ABC for which ZA= 105°, a = 28, b = 18. If such a triangle can not exist, then…

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Q: Find each limit, if it exists. If the limit does not exist, explain why, lim (x³ + 2)(x² - 5x) x-3 x…

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Q: 1₁ w² w² In(w) dw

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Q: 13. Nutrition-Animal Mr. Smith decides to feed his pet Dober- man pinscher a combination of two dog…

A: We need to find minimum rquirments.

Q: x-y x+y+1' 1. Let f(x, y) (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y + 1,y) Find:

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Q: Find the particular solution for the initial value problem. dy + 4x³ = 6x² and y=2 when x = 0 dx y=0

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Q: 26. Let H(t) = 5+2e-t. Find the exact value of H-¹(9).

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Q: Suppose f(x, y) = xy² + 3. Determine each of the following: f(0, -2)= f(-2,0)= f(0,0)= f(-3,-2)=…

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Q: A tank originally contains 100 gallons of fresh water. Then water containing 0.25 lbs of salt per…

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Q: 4) -- 6 Quadrant Reference Angle Tan(-) =

A: Reference angle is the smallest possible angle between the x-axis and the terminal side.

Q: Determine the largest open intervals of the domain over which the function is A. Increasing B.…

A: From the graph  function is not increasing anywhere . Decreasing (-∞ , -3 ) ∪ ( 4 , ∞ ) Constant on…

Q: Which equation below best represents the equation of a sine function with the given characteristics?…

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Q: Which of the following differential equations is solvable by the transformation y=vx, where v is a…

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Q: (-2,2 y=x+4 (3,7) y=x²-2 X

A: Given query is to find the area of the shaded region.

Q: The limit is equal to -∞ 0-1 01 0 lim x→0 Sln(1 + t²) dt x

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Q: ezy -x³y +4 x 9. find the directional derivative of f at the point (1, along the direction of the…

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Q: A flat rectangular piece of cardboard of dimensions 6 cm by 10 cm is transformed into an open-top…

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Q: A microbial population's mass grows in such a way that its rate of growth r(t) = m(t) doubles every…

A: A microbial population's mass grows in such a way that its rate of growth r(t)= m'(t) doubles…

Q: Find the general term of the sequence, starting with n= = 1. Determine whether the sequence…

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Q: Find the average value fave of the function f on the given interval. f(0) = 7 sec²(0/6), [0, 37] 2…

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Q: If y = (k+1)x+3 then y' = -0 ∞0

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Q: Determine the value of 3f(x)g(x) lim x-2 3f(x) - 2g(x)

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Q: Find (g.f)(x) if f(x) = 4x2 + 2x + 8, and g(x) = 2x -6 A) 8x² + 4x + 22 B C D 4x² + 4x + 10 4x² + 2x…

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Q: 13. A particle moves along a line so that at time t, where 0 ≤ t ≤ π, its position is given by t²…

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Q: -5 0 2 3 What is the global minimum of the function f(x)= |x - 21 on [-5, 5]?

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Q: 21. Expand completely: logn X y² - 9 -

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Q: the integral. (Use C for the constant c It sin(t) t sin(t) cos(t) dt

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Q: Find the x-intercept of the graph of y = ln(x-k) +2. Your answer will be in terms of k.

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Q: 9. a javelin thrown at 65 feet per second at an angle of 60° with the horizontal

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Q: Find the average value of the function f(x)=xex? over the interval [0.2]

A: f(x)=xex2  on 0,2formula for average value is favg.=1b-a∫abf(x)dx∫exdx=ex+c

Q: Find the gradient field of the function, g(x,y,z) = e² - In (x² + 4y²). ¹= Di + i + Dk. The gradient…

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Q: The function f(x, y) = x³ sin is a homogeneous function of degree a. 1 b. 2

A: given  f(x,y)=x3sin(yx)for homogeneous function   if f(λx,λy)=λnf(x,y)  than degree is n

Q: Which of the following is the appropriate substitution for the Bernoulli differential equation xy -…

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