Write a vector with length 9 at an angle of 150° to the positive x-axis. V =

Q: A 16ft. ladder leans against a wall. The bottom of the ladder slides away from the wall at a rate of…

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Q: At what point (x, y) is the function f(x) = -4x - 9 closest to the point (3, 1)? Enter an exact…

A: To determine the point on the function which is closest to (3, 1)

Q: 23. y = 2 x² + 1 x² - 1 3

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Q: S x² √16x² dx

A: The objective of the question is evaluate the indefinite integral.

Q: f sec³3xcos3xdx

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Q: An engineer is building experimental, dome-shaped living quarters 33 m high and modeled by the…

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Q: 15 4 12 x

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Q: Evaluate the limit: lim+∞ In √x+5x 7x

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Q: S 3 cos³ (x) dx

A: To integrate the given function

Q: Find the derivative (be sure to simplify): f(x) = sinh(ln(x²))

A: Given query is to find the derivative of the expression.

Q: Show that the function f(t)=√t+√√1+t-4 has exactly one zero in Solve the equation √t+√√1+t-4 = 0 to…

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Q: Which of the following is equivalent to 2x + 5 S (2-4x) 5 after appropriate algebraic substitution…

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Q: Evaluate the integral below taking as the region bounded by y = x and y = x². ]] (3x (3x + 1)dxdy

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Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 9…

A: Topic = Area

Q: how do we know xi = 1 + 2i/n

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Q: Find the linear approximation of f(x) = ln x at x = 1 and use it to estimate ln(1.4). L(x) =…

A: Given function:- fx=lnx

Q: Verify Green’s theorem in the plane for R C (3x 2 − 8y 2 ) dx + (4y − 6xy) dy, where C is the…

A: Given:

Q: Prove: If U AUB and An B = Ø, then A = U\ B

A: we can prove the  given statement .

Q: Evaluate ~2 √² (3x² +9y²) dydx

A: ∫02∫0x 3x2+9y2dydx

Q: Find an equation of the tangent line to the given curve at the specified point. е e6x y-of (1₁60) у…

A: Given query is to find the equation of the tangent.

Q: Find the value of f'(9) if f(t) = 10√t - 7 √t

A: Here is the solution:

Q: Given A [3] find the determinant

A: To find the determinant of given matrix.

Q: Consider the function below. In x 9√x (a) Find the interval on which f is increasing. (Enter your…

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Q: 2. Convert the following standard a. (y + 1)² = -2(x + 2)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5. Determine the location and value of the absolute extreme values of f on the given interval, if…

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Q: The equation N (t) 550 models the number of people in a town who have heard a rumor 1+49e-0.7t after…

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Q: A non-native species of fish is introduced into a lake and is attacking a certain type of native…

A: Given Native: x(t) = −447.94t3 − 5250t2 + 44992t + 150000 Non-native: y(t) = −589.14t3 − 0.7t2 +…

Q: Consider two nonnegative numbers x and y where x + y = 14. What is the maximum value of 5x²y? Enter…

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Q: (c) You are given the point (3, 2) in polar coordinates. (i) Find another pair of polar coordinates…

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Q: Use the linear approximation of f(x, y) = e²x²+2y at (0, 0)

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Q: (c) Check that your solutions t substituting the expression 63. xy + 2x + 3x² = 4

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Q: Consider x^5 + 5xy^4 = -19197, find dy/dt when x = 3, y = -6, and dx/dt = 2 dy/dt = ?

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Q: U sin ing the derivative find the test points. x=-2,-1 Ox=2,-1 Ox=-2,1 x=2.1

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Q: 37-40 Find y' and y". 37. y = cos(x²)

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Q: Use the Integral Test or a p-series to determine the convergence or divergence of the series. 1 Στη

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Q: 5. Set up a triple integral to find the volume of the tetrahedron that has vertices (0,0,0),…

A: Given vertices ( 0,0,0 ) ( 0,0,4 ) ( 3,0,0 ) ( 0,4,0 )

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, P4(x) = c = 7

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Q: couple received a $131,000 inheritance the year they turned 48 and invested it in a fund that earns…

A: According to the given data we have the following: present value of deferred annuity=$131,000…

Q: When coughing, the windpipes contract to increase the velocity of air passing through the windpipe…

A: We need to find out the v'(r), value of r that maximizes the velocity of air and v(rmax).

Q: At what point (x, y) is the function f(x) = 8x - 3 closest to the point (3, -6)? Enter an exact…

A: To determine the point x, y on the function fx=8x-3 is closest to the point 3, -6.

Q: The weight of a lake trout as a function of age satisfies the formula where Wis in kg and t is in…

A: The weight of a lake trout as a function of age satisfies the formula Wt=241-e-0.22t3 We have to…

Q: What is the maturity value of a $52590 investment in 27 months if interest is 4.3% p.a. compounded…

A: Topic - Compound interest We are given: Present value=PV=$52590 Time =t=27 months Rate of interest…

Q: 8 2 √√√8x - x² dx 0

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Q: If a company has total costs C(x) = 10,000+ 15x + 0.2x² and total revenues given by R(x) = 265x…

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Q: Let f(x,y) = 2x^2 + xy −y^2. Prove that the directional derivative of f(x,y) at point x = (3,−2) in…

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Q: Consider U₂ x²y dA, where R is the region bounded by 0 ≤ x ≤ 2, x ≤ y ≤ x +4.

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Q: Determine the vertex, focus, directrix and axis of symmetry of the parabola with the given equation:…

A: Given Equation:- 3y2+8x+24y+40=0

Q: Use the Chain Rule to calculate the partial derivatives g(x, y) = sin(x² + y²), x=4u+3v, y = v — 3u…

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Q: Solve the formula for r. 1 n=f+c+ = r

A: The given formula n=f+c+16r We have to find the formula for r.

Q: (a) Prove that F(x, y, z) = (y² cos r+z³)i+(2y sin r-4)j+(3r2+2)k is a conservative vector field.…

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