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Q: Find the derivative of the transcendental function. h(x) = - 14 sec x X h'(x) = -5x2-14 secx-tanx

A: We need to find the derivative of the given transcendental function.               hx=5x-14secx

Q: olve the equation for exact solutions in the interval [0°, 360°). Use an algebraic method. (cote 1…

A: We have to find solution

Q: sec²x - 1 sec²x 0-1 sinx

A: We will solve.

Q: Find the divergence of the vector field. F(x, y, z)= 7x¹i, 7xy7j O divF(x, y, z) = 7x³¡— Ţxy³j…

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Q: Use the alternative form of the derivative to find the derivative at x = c (If it exists). (If the…

A: Given hx=x+8, c=-8

Q: Set up, but do not evaluate, the triple integrals needed to find the center of mass of the region in…

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: A volume is described as follows: 1 1. the base is the region bounded by y = 1 - -x² and y = 0 25 2.…

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Q: Find anti derivative of    f(x)= (2x2+1)(3x-2)

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Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

A: fx and gxare integrable on the closed interval a,b and k is the constant. we have to find the false…

Q: (1) Theorem: The area A of the region bounded by the curves y = f(x), y = g(x), and the lines x = a,…

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Q: Find the derivative of the function. h(s) = (s³ - 6)² h'(s) =

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Q: The flat surface shown is submerged vertically in water. Find the fluid force against the surface.…

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Q: Find [(1 - cos² t)dt]. dx A. sin²x B. -sin²x C. 1 - sin²x D. - cos²x

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Q: Use an identity to write the expression as a single trigonometric function or as a single number. 2…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: If the number of sales is inversely proportional to the price of a product, write the differential…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. x…

A: The given differential equation is xdx+y-2xdy=0

Q: Assume that the functions ?,?,ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c,…

A: given: ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c, h′(c)=d, f(a)=e, g(e)=ℓ,…

Q: Use linear approximation to approximate cubrt(28)

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Q: An object is moving along a horizontal line such that its velocity is v(t) = 6t² - 4t. What is the…

A: The objective is to find the displacement between t=0 to t=4.

Q: 4. y = esec²z (A) sec²rtan resec² z (B)-2 secrtanrx sec²z 5. y= Arccos(x²) 2x (A) √1-2¹ 2x √1-x² (B)…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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Q: gle. Round to the nearest tenth when necessary or to the neares minute as appropriate. مت A 22m 26°…

A: The triangle has the measures A=26°, B=51° and AB=22m

Q: Estimate the instantaneous rate of change given the following: f(x) =5 at the point (-3, — 2/1) x+5…

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Q: x²-9 2 lim x 3 x 3

A: The given limit is limx→3x2-9x-3

Q: The interest on an account increases exponentially. If an initial investment of $4000 earns $1300 in…

A: Given that , Initial investment = $4000 Rate of increase = ?

Q: (10) Find the volume of a solid S where the base of S is the region enclosed by the parabola y = 1x²…

A: Solution:            lets take the integral over the y axis. We will notice that y=1-x2 is an upside…

Q: 8. THE ANSWER PROVIDED IS DOESN'T MAKE SENSE. HOW DOES 21+7 = 38? PLEASE PROVIDE CORRECT ANSWER…

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Q: Given the DE. 3dy + ydx = (1-2x)y4, Rewrite the DE into Linear Form at v O dx-v = 2x+1 dx-v=2x-1…

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Q: aight Highway. He determines the angles of depression to two mileposts, 6.5 mi apart, to be 37° and…

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Q: 14

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Q: (3) Theorem: The area between the curves y = f(x) and y g(x) and between x = a and y = b is A =…

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Q: sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: NOTE: Refresh your page if you can't see any equations. . ................upper and lower limits…

Q: The bass population of a mountain lake was measured a year ago, and the lake was found to host 6,000…

A: This is a logarithmic problem

Q: Find the absolute maximum and absolute minimum values of f on the given interval. (a) f(x) = 2x³ —…

A: The given functions, a) f(x)=2x3-3x2-12x+1, -2,3b) gθ=θ+cotθ2, π4,7π4

Q: a) A population of insects at a rate of 200+10t+0.25t² insects per day (t in days). Find the insect…

A: Hence,  the population of insects after 3 days will be 682.25 => i.e. approximately 682 insects…

Q: For the following exercises, evaluate the binomial coefficient. (3) 17 25 6. 11 7- (7) 7. (200) 8.…

A: To evaluate the binomial coefficient.

Q: M                   dy/dx - y = e^x y^2

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Q: Question 1 Suppose I have $5000 to invest, and I am able to invest it at an 8% rate compounded…

A: Topic = Algebra

Q: Find anti derivative of    3cos(x)-7x4+2x5

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Q: Example 3.6.2 Sketch the graph of y = f(x) = (2) Answer: A. The function is not defined at 3, so the…

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Q: D. Solve the given differential equation by variations of parameters. 1. y" + y = cos² 2. y" + 2y +…

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Q: Find the area of the region bounded above by y AY -x² + 8 and below by y = x². ==

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Q: (B) x = -and x = -3 14. On which interval(s) is the graph of f(x) increasing? (A) (-∞0,00) (B) (-∞,…

A: Note : as per guidelines we support only three subparts of the questions.kindly repost next…

Q: 23. Find the radius of the circle inscribed in a triangle formed by the lines 7x+24y-70-0,…

A: The given equations of the lines are: 7x+24y-70=0  ..........(1)21x-20y-70=0…

Q: Σ n=1 5n Vn3 +1

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Q: Solve y(1): dy/dt + x = 1; dx/dt-y + 4e¹ = 0; x(0)=0 and y(0)=0.

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Q: Evaluate ffysin(xy)dxdy น over the region bounded by xy = 1, xy = 4, y = 1, and y = 4 using x == , y…

A: We have to find the area using double integration.