1. Given that y² = 48sin 0 and dy/dt = -5, find de/dt when 0 = TT/6

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: Consider the function f(x) = 1²-81 +15 I+2

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: (15) 5.00 _d²_ dx x²+ 100 = 5.00 _d² + dx - 2 X +100 = lim 848 = lim 848 b = lim Sa dx + lim so dx…

A: Find the solution

Q: (b) Find the sound level of a vacuum cleaner if its intensity is 10 times Io. The sound level of a…

A: We have to find sound level by using log formula.

Q: 2x + 3y = 1, reduce this to the intercept form. Draw the line

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Q: using numerical solution, Trapezoidal Rule to evaluate the following integral, use n= 4 1 0.2 xả…

A: Using numerical solution, Trapezoidal Rule to evaluate the following integral, use n =4,…

Q: Find the equation of the line passes through (-2,3) with y intercept 2/3 of the x intercept.

A: Given equation of line passes through ( -2 , 3 )  y intercept 2/3 of the x intercept

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: Fully factor and find all of the specific zeros of the function f(x)=2x4-9x³ + 6x² - 9x +4 Show your…

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Q: Let f(x) = 2x² + 13x + 15 3x2 + 11x + 6 As →→∞o, y → As a → ∞, y → - As →→-3, y → A Consider the end…

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Q: 700 (p+1)³² For the demand function q = D(p) = a) The elasticity b) The elasticity at p = 1, stating…

A: The demand function is given as , q=Dp=700p+13

Q: 4. √e³x - e²x dx = 3 A. ² (ex - 1)² + C < B 3 B. (e³x - e²x) + C 2|32|3 C. 2/3 3ex - 1 √2 3 D. ²/7…

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Q: Use the inverse of the 2x2 matrix 1  a 0  1 to compute the inverse of the 3x3 matrix 1  a  0  0  1…

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Q: Find the volume of the solid enclosed by the intersection of the sphere x² + y² + z² = 100 and the…

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Q: Find the spherical coordinates (p, , 0) of the point with the rectangular coordinates (0,6√3,6). Use…

A: Given rectangular coordinates:- 0,63,6

Q: 2. Find the area of the region between the graphs of ƒ(x) = 3x + 8 and g(x) = x² + 2x + 2 over [0,…

A: Given graph:-

Q: A group of engineers are building a parabolic satellite dish whose shape will be formed by rotating…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x² - y², (3, 2, 5)…

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Q: A projectile is fired from a position on the ground. The motion of the projectile in two dimensions…

A: Take the derivative of x and y with respect to theta then take the ratio to get the velocity.

Q: Problem #3: Find the work done by the force F = 9xy i+ 12y2j acting along the piecewise-smooth curve…

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Q: r(t) Find a plane containing the line y(t) z(t) - 4x + 5y4z = 3 ww 3-5t -3-3t and orthogonal to the…

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Q: Find the centroid of the region bounded by the given curves. y = 6 sin(3x), y = 6 cos(3x), TU 12 x =…

A: Here the functions are The area is given by

Q: Find the absolute extrema if they​ exist, as well as all values of x where they​ occur, for the…

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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: For each of the indefinite integrals below, choose which of the following substitutions would be…

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Q: For y = f(x) = 7x, find Ax, Ay, and Ay Ax given x₁ = 2 and x₂ = 4.

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Q: Use the given feasible region determined by the constraint inequalities to find the maximum and…

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Q: A typical dish antenna is built as a surface of revolution obtained by revolving a parabola about an…

A: We to find the surface area of the surface in terms of R and K

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: Solve the following linear programming problem. Restrict x ≥ 0 and y ≥ 0. Maximize f = 7x + 9y…

A: Given : Maximize f = 7x+9y subject to constraints 2x + 4y ≥ 8 ⇒   x + 2y ≥ 4 3x + y ≤ 7 y ≤ 4   Plot…

Q: Find an equation of the tangent plane to the surface at the given point. x² + y² - 9z² = 71, (-8,…

A: To find equation of tangent plane

Q: Use l'Hôpital's Rule to find the limit. In (x²+7x) In x lim X→0* lim X→0* In (x² +7x) In x = (Type…

A: K=limx→0+lnx2+7xlnxd dx(xn)=nxn-1d dx(lnx)=1x

Q: Find the gradient of the function at the given point. g(x, y) = 13xe/x, (17, 0) Vg(17, 0) =

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Q: estimate for f′(3)   x 0 3 6 9 12 15 f(x) 72 90 102 76 90 39

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Q: Question 2 of 10 Determine whether the equation is a conditional equation, an identity, or a…

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Q: The masses m, are located at the points P. Find the moments Mx and M, and the center of mass of the…

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Q: Find the distance from the point (-4,-6,4) to the line a(t) = ( – 5, 1, − 3)t + (− 7, — 4, 7) FORCYY

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Q: A triangle with area 30 cm^2 is cut from a corner of a square with side 10 cm, as shown in the…

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Q: Consider the following. u = (-5, 2, 4) v = (0, 1, 7) Find u x v. Determine if u x v is orthogonal to…

A: Use the formula for the cross product of two vectors.

Q: Match each of the trigonometric expressions below with the equivalent non-trigonometric function…

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Q: 6 36-2² [° [V² 0 √36-x²-² e(x² + y² +2²) dz dx dy =

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Q: 7. If f(3) = 15, f' is continuous, and f f'(x) dx = 27, what is the value of f(8)?

A: We have given a continous function f' f3=15 ∫38f'x=27 As,  ∫f'x dx=fx ∫38f'x=fx38=f8-f3 So,…

Q: Set up iterated integrals for both orders of integration. Then evaluate the double integral using…

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Q: car leaves the city traveling north at a constant speed of 60 miles per hour. A second car leaves at…

A: The details solution of the given question is given below in step 2.

Q: d dx [ 3+√√f(sin( sin(x)) cos(x) f' (sin(x)) 2√f(sin(x))

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Q: log 457,129 is between log 457,129 A and

A: As per our guidelines, we only solve one question and rest of the question will be reposted. Formula…

Q: is that a 5 or a 2?

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Q: 112. Gaussians An important function in statistics is the Gaussian (or normal distribution, or…

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Q: Complete the parametric equations of the line through the points (8,4,3) and (-6,-8,-7) r(t) = 8-14t…

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Q: Sketch the solid whose volume is given by the integral below and evaluate the integral. -π/6 •π/2 9…

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