Gren thint sin (A+i6) = xtiy, 28 Prove that, 9父+ =1 snh'B 1) x essec?A -y' sec'A =1

Q: (a) lim e-" (x³ – x² + 9) sin x – x cos x (b) lim x→0 x – sin x (c) lim (x – In x)

A: We need to find limits. NOTE - As per Bartleby's guidelines we can solve only 3 subparts. Please upl...

Q: Express the following series as a telescoping sum and evaluate its nth partial sum. 2n+1 06. E (Hint...

A: We can solve as follows

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xydx - (x + 2)dy = 0

A: Given problem:- Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.   xydx - (...

Q: Find the volume of the solid. y=x2, x=0; x=2, y=0, about the x-axis

A: use the volume of solid of revolution formula,

Q: Find the angle 0 between the vectors in radians and in degrees. u = 9i + 5j + k v = 5i - 9j (a) radi...

A: In this question, we need to find the angle θ between the given two vectors.

Q: Define the hyperbolic functions as follows. e" - e e" + e sinh r .cosh a 2 sinh x and tanh a cosh x ...

A: We have to solve both Questions.

Q: In a local art museum, a moving spotlight projects geometric figures on the wall in front of it. The...

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Q: 2. A rancher plans to fence a rectangular pasture adjacent to a river. The rancher has 100 meters of...

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Q: Explain why the function is differentiable at the given point. f(x, y) = x*e", (1, 0) The partial de...

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Q: Evaluate log, 99

A: I am attaching image so that you understand each and every step.

Q: Use a linear approximation of f(x)=cos(x) at x=5π6 to approximate cos(149∘). Give your answer round...

A: Here we have to use linear approximation formula. 

Q: Determine whether the geometric series is convergent or divergent. n=1 (-6)n - 1 O convergent diverg...

A: Let's find. 

Q: each

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Q: In one of the warehouses of a construction firm, cement is being released from an elevated storage b...

A: Given: Cement is being released from an elevated storage bin at a rate of 29 feet3/min. i.e. The ce...

Q: The velocity of a car is f(t) = 5t meters/second. Use a graph of f(t) to find the exact distance tra...

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Q: x) = 9x - 33x + 19x – 3, given that 3 is a zero.

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Q: Identify which among the numbers are odd-numbered integrals. 1. S21 cos 7x dx 2. S csc* dx 14. S dy ...

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Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

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Q: Find the area of the region bounded by the parabola y = 2x2, the tangent line to the parabola at (3,...

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Q: 2 Given a circle with radius, r, and a sector with area, A, formed by angle of 0 radians. Find a for...

A: Here we have to find the area of the sector.

Q: Calculate M6 for f(x) = 5 · In(æ³) over [1, 2].

A: Given:   f(x)=5.ln(x3) over [1,3]

Q: 4 – dt 2 cos 4t 1.

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Q: The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) = + 2x on the int...

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Q: Find the exact area of the surface obtained by rotating the curve y =-x", 3 0<x<12, about the y-axis...

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Q: sin° (3x) cos“ (3x)dx 4

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, ...

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Q: Let R(s, t) = G(u(s, t), v(s, t)), where G, u, and v are differentiable, and the following applies. ...

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Q: Use the chain rule to find the indicated partial derivatives. z = x* + xy, x = s + 2t – u, y = stu? ...

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Q: Find the radius and interval of convergence of Radius = 0, Interval = empty set >n!æ" . Radius = 0, ...

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. X = 5t, y = 9 –...

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Q: Find the domain and range of the function h(x, y) = 3\/3y – 12x². %3D

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Q: A farmer wants to fence a rectangular pasture next to a river. The pasture must contain 245,000 squa...

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Q: Directions: Evaluate the following limits. 1. lim(In (2x – 9)) 2. lim (tan-)

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Q: 3. Consider the ellipsoid x2 + 4y2 + z? = 18. Find the acute angle that the tangent plane at the poi...

A: Let us consider two surfaces f(x,y,z)=0 and g(x,y,z)=0. Now let n1 and n2 be two normal vectors on t...

Q: Find the equation of the circle, in general form, that is tangent to the line X=−6 andX=10, and pas...

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Q: g(b) Use the substitution formula, f(g(x)) g'(x) dx = | f(u) du where g(x) = u, to evaluate the foll...

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Q: secʻø =d¢ /5-sec²4 - sec2ø

A: Dear student in place of x assume phi(ϕ )

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: sin(1+In(2x))-/1+ln(2x)

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Q: A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into ...

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Q: 4 CSC* x

A: ∫csc4xco2xdx

Q: [17(xe" +e* )sin(xe*)-14sin(x)dx

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Q: For what values of x does the graph of f have a horizontal tangent? (Use n as your integer variable....

A: Given query is to find the value of x where tangent is horizontal.

Q: or f (x) = e-*+3, find f'(2.5). %3D

A: Given query is to find indicated derivative.

Q: Find a set of parametric equations for the line passing through the point (8, 0, 9) that is parallel...

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Q: Find the vector component of v = (4, 1, 7) along b = (4, 8, –8) and the vector component of v orthog...

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Q: = (5, 2, 2) = (5,8,7) Find the cosine of the angle between v and w. cos 0 = %3D

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Q: Gravel is being dumped from a conveyor belt at a rate of 40 ft/min, and its coarseness is such that ...

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Q: Find the amplitude, period, and horizontal shift of the function. y = −9 sin (2(x + ?/2

A: Given:    y=-9 sin2x+π2

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. tan2y dy = sin3x dx

A: