Find the following for the given equation. (t)-9²,3a( (a) (e)- (b) (1) (c) Find()).

Q: Find x. Round your answer to the nearest tenth of a degree. 44 X 24 -0° x =

A: We have given a right angle triangle  From given triangle  Perpendicular (p) = 44 Base(b) = 24 Using…

Q: A pool shaped like the bottom half of a sphere is being filled at a rate of 22 cubic feet per…

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Q: Find the second derivative of the vector-valued function r(t) = (7t + 5 sin(t))i + (4t + 5 cos(t))j…

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Q: Complete the following: In √√√x(y² + z²) = C' ln x + D ln(y² + z²) with C' = and D =

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Q: Determine the x-intercepts of the function g(x) = 2sin(2x) + 1 on the interval [0, 2m]. {끙끙} 17 117…

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Q: Refer to the figure and find the volume V generated by rotating the given region about the specified…

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Q: 4 g(x) 3 N 2 1 2 3 -1 0 4 5 6 7 x f (x) f'(x) -1 3 6 2 -4 5 3 4 -2 7 0 1 9. The functions f and g…

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Q: Use regression to find an exponential equation that best fits the data above. The equation has form…

A: use the calculator to find the exponential regression in your calculator press STAT select edit by…

Q: 5 -5 x dx =

A: Topic = Integration

Q: Please solve using related rates and implicit differentiation: A long ladder 20 feet long is…

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Q: 4 The same capacitor circuit is now charged up to 12V and the instantaneous voltage is_v=12(1-e²²) .…

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Q: A rectangular box has a width of 7 cm and a length of 1 cm. The volume of the box is decreasing at a…

A: Topic = Volume

Q: A particle moves in a straight line with velocity 10 - 4t ft/s. Find the total displacement and…

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Q: 2 x² dx √4-x² 2

A: Let's solve given integration.

Q: Suppose that f(x, y) = 3x²y² + 9x² + 7y² then find the discriminant of f.

A: The discriminant of f(x,y) is given by D = fxx fyy - (fxy)2

Q: Find equations of the tangent plane and normal line to the surface z + 16 Tangent Plane: (make the…

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Q: Evaluate the definite integral. 7 1 √₁² 36 + (x + 5)² dx

A: Here, we have given a definite integral and be have to find its value so we will find it by using…

Q: Set up but do not evaluate an integral for the volume of the solid obtained by rotating the region…

A: Topic = Volume

Q: A population of insects increases at a rate of 270 + 14t + 1.5t2 insects per day. Find the insect…

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Q: co|= 5 Thus fff(x, y)dA = [' [ А 0 drdo

A: To determine the double integral shown below.∬fx, y dA=∫0π3∫15? dr dθAlso, to evaluate the above…

Q: given a price-demand function,  p(x) = −7x + 40,  where x is the number of items made and sold and…

A: Given query is to find the revenue function.

Q: A population grows according to an exponential (Malthusian) growth model. The initial population is…

A: Growth model :-Pn=P01+rnr=growth rate Here r=0.3 P0=5⇒Pn=51+0.3n⇒Pn=51.3n

Q: 4. How far from y-axis is the center of the circle 2x² + 2y² + 10x - 6y - 55 = 0? 5. How far from…

A: Given the equation of a circle, 2x2+2y2+10x-6y-55=0

Q: Let F(x) = f(x) and G(x) = (f(x))*. You also know that a³ = 4, ƒ(a) = 2, ƒ'(a) = 10, f'(aº) = 3 Then…

A: The objective is to find F'(a) and G'(a) .

Q: x = 3t² + 3t 2t² + 5 The position of an object at time t is given by the parametric equations Find…

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Q: The population of a city is modeled by the equation P(t) = 338,343e0.1t where t is measured in…

A: Topic = Algebra

Q: 1. At all times, the length of the long leg of a right triangle is 3 times the length x of the short…

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Q: Find an equation of the tangent line to the graph of the function at the point (-1, 4). y = 4 x y =

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Q: 2. Find the curvature to the vector-valued function r(t) = (sin(t), cos(t), t²) at t = 4.

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Q: The area of the region bounded by the two curves y = x² and y = 16 is Square Units

A: To determine the area of the region bounded by the two curves y=x2 and y=16.

Q: For the equation, find dy/dx evaluated at the given values. y² = dy = 8x - 71 at x = 9, y = -1

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Q: Oct 23, 9:35:15 PM A particle moves along the x-axis so that at time t 0 its position is given by…

A: Given query is to find interval where speed is decreasing.

Q: Order One Differential E Solve the ff. DE Equation 1. xy' - 2y = x³ ce

A: We have to solve the given differential equation

Q: 2. Let a be a real number, and consider the function h: (-∞, a) U (a, ∞) → R defined by h(x) A. The…

A: The limit of a function f(x) at x=a exists if and only if the right hand limit and left hand limit…

Q: evaluate / sin²(z) cos³(x) dx we use the identity sin²(x) + cos²(x) = 1 to obtain [ sin²(2)( cos(x)…

A: Given query is to find the substitution applied.

Q: Find the sum of the series, S. Szön n! S = Σ n=0

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Q: 7. Canada's Gini index is usually 30.0. a) Determine the Lorenz function. b) What percentage of…

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = [1,…

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Q: Find fx and fy, and evaluate each at the given point. arctan(ỵ), (2,-2) f(x, y) fx(x, y) = fy(x, y)…

A: Given:        fx,y=arctanyx , 2,-2     fxx,y=∂∂xarctanyx                   =1yx2+1∂∂xyx taking y as…

Q: Find the values of the following limit. If a limit does not exist, type DNE in the entry box. limx→9…

A: Given; Limx-9(x-9)/[sqrt(x)-3].

Q: A rectangular tank with a square base, an open top, and a volume of 27,436 ft³ is to be constructed…

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Q: Suppose sin(0) = -and that 0 terminates in Quadrant IV. Fin a) tan(0) b) cos(0) 2 D 13 Ag 1+ it

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Q: A particle moves along the x-axis so that its velocity at time 0 7 or (₂) Submit Answer U ∞ > [₂]…

A: slope of velocity vs time graph represent acceleration  and where  slope is positive indicate that…

Q: Find the equation of the tangent line at GF g(0)=2cos 0+sin²0

A: Equation of tangent line to a curve y=f(x) at a point (a,b) is given by y-b=f'(a)(x-a)

Q: Find aw/as and aw/at using the appropriate Chain Rule. Function Values w = y³ - 5x²y x = es, y = et…

A: Given query is to find indicated partial derivatives.

Q: Let f(x, y) = x² + 2y² List the critical points: 24xy. The critical point at the origin is a saddle…

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Q: x³ Find the absolute maximum and absolute minimum of the function f(x) = - 4x² + 12x - 5 over the…

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Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: a. f(f(x)) b. g(g(x)) c.…

A: Given query is to find indicated composite function.

Q: Let f(x) = 4 sec (3x) f'(x) =

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Q: What is the distance between the point (5,1) and the line with slope 2 and y intercept -2? 13√7 7…

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