Find the mass of the rectangular prism 0≤x≤2, 0≤ y ≤2, 0≤z <3, with density function p(x, y, z) = = 2.

Q: Given the following functions: Find: f(j(x)) f(x) = 3x² - 5x+2 g(x) = 7x² + 3x - 1 2x - 7 h(x) 5x -…

A: Given query is to find the Indicated composite function.

Q: f(x) = (x² − 9) -

A: Given :f(x)=x2-923

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 83 −1+1/²/(₁-¹² + e²) Option 2 1-1/2 (e-² + e¹²) Option 4 -1-1/17 (₁²¹ + e²) Option 1 1 + 1/² (e + +…

A: We have to find the inverse Laplace transform of 1s3-s. At first we find the partial fraction of the…

Q: 2. f(x) = x³ senx cos x

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Q: This question is designed to be answered without a calculator. Let f be a function such that lim…

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Q: {CLO-3} The function f(x)=2x4-4x² has a local maximum at x=-1; and a local minimum at x=0 has no…

A: Topic:- application of derivatives

Q: 5s + 4 83 2t5t³ Option 4 None of the Choices 2t + 5t³ Option 3 Option 1 5t + 2t³ 5t - 2t³ Option 2

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Q: Consider the functions z= - ex In y, x= In (u cos v), and y = u sin v. dz dz (a) Express and as…

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Q: A company manufactures two products. The price function for product A is p = 20-x (for 0 ≤ x ≤ 40),…

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Q: Given R(t) = 4 cos ti + (1+ 3cost)j +5sintk. Find the arc length of the portion of R(T) from t=0 to…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx,…

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Q: F- 2x-7 h(a) √√x +3 the function Find the Domain (11) Range of (11) Show wheather the function is…

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Q: tan2x-2sinx lim x→0 x3 a. 0 b. infinity c. 3 d. DNE Find the slope of the curve y = 64( 4 + x) 1/2…

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Q: 9 Use the shell method to find the volumes of the solids generated by revolving the shaded region…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: A rectangular swimming pool is 42 ft wide by 75 ft long. The table gives depths (d) from x = 0 at…

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Q: Find the domain of =) = √x² – 3x

A: Given query is to find the domain of the function.

Q: Evaluate the definite integral. 8 (2n-²-n-³) dn 8 (2n-²-n-³) dn=[ 4 (Type an integer or a simplified…

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Q: Evaluate the following integrals: O •(Cartesian to Polar) Given the Cartesian coordinate, find FOUR…

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Q: √ and g(x)= )=x² Let R be the region in the first quadrant bounded by the x-axis and the curves f(x)…

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Q: s 1 s(s+ 1)² -1 +et+2te-t Option 1 2+te-t Option 3 - 1 + e-t2te-t Option 2 -2+te+e-t Option 4

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Q: Given the following functions: ind: f(i(x)) f(x) = 3x² − 5x + 2 g(x) = 7x² + 3x - 1 2x - 7 h(x) = 5x…

A: Given query is to find indicated composite function.

Q: Use the by revolving The C Type an 4 S 3. to the nearest AY N Ə Shell Method the shaded is Cubic…

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Q: 2 3s +9 Option 4 Option 2 Option 3 -3t e co 2 3 23 e 3 -St None of the choices 3 -3t 2 Option 1 e

A: Given :L-123s+9

Q: (CLO-1) Determine the horizontal asymptote(s) of the given graph. 12 10 Ox=4 and x = -4 Dy=2 Ox=2 Oy…

A: The given problem is solved below.

Q: Find the absolute extrema of the function y = √x - 9 on the interval [9, 45].

A: To find the absolute extrema of the function y=x-9 on the interval 9, 45.

Q: This question is designed to be answered without a calculator. Let y = 2 sin (2x) and d'y =ky, where…

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Q: Find all critical points of the function f(x) = x³ − ²/1x² − 54x + 10. (Use symbolic notation and…

A: answer is in next step

Q: air resistance can be ignored, how high does it go?

A: Given query is to find the height of the ball.

Q: Question 11 (CLO-2) Evaluate lim f(x) where (3x-4 if x2 02 O does not exist O 10

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Q: Q/Use Lagrangian polynomial to find f'(2.1) from the following table x 1 2 3 17 22 f(x) 10

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Q: Find the equation for the line tangent to the curve 2ey = x + y at the point (2, 0). Explain your…

A: Equation of tangent to curve is given.

Q: x = 2t² and y = t³ - 3t has a point where there are two tangents. Identify that point.

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Q: 2. Error Analysis. Please complete the following parts in sequential order. a. Solve 2 log4(x-3) +…

A: The given problem is solved below in detail.

Q: 9x3+3x²-12x Solve for the vertical asymptote/s of f(x) = 9x3+30x²+24x

A: To find vertical asymptote we will put the coefficient of y equal to zero.

Q: Use linear approximation, i.e. the tangent line, to approximate √25.2 as follows: Let f(x)=√x. Find…

A: Linear approximation for fx=x at a=25The linear approximation of the function fx at point a is Lx =…

Q: his question is designed to be answered without a calculator. = f(x) = 1-2e-x, then f has horizontal…

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Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A: Let us assume it takes n half-lifes to reach 10mg

Q: √√5³-25² 2s + s ds

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Q: M8 ทะเ (23 - +3 1 k +4

A: ∑k=1∞ 1k+3-1k+4

Q: What are the rectangular coordinates of the point whose spherical coordinates are (1,,)? x = 0 y = z…

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Q: n³r" Find the radius of convergence for the series 1 3⁰ OR= =/3 OR=1 OR=3 OR=1/ R = ∞

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: (CLO-2) Find the linear approximation, L(x), to f(x) at x = xo - f(x)=√√6x+64, x = 0 O L(x)=-x-3…

A: Given f(x)=√(-6x+64)  We hav eto find the linear approximation of f(x) at x=0.

Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Given query is to find the attached population after 15 years.

Q: Evaluate lim f(x) where X-3 (3x-2 if x3 09 O does not exist O 11 07

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Q: Calculate the Taylor polynomials T₂(x) and T3(x) centered at x = a for f(x) = 18 sin(x), a = = 1/2.…

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Q: Evaluate lim √9-t-3 t-o t

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Q: Find Vf at the given point. f(x,y,z) = x² + y² − 4z² + z lnx, (1,1,3) Vf|(1,1,3) = i +(\)j + ()k…

A: Given the function,   fx,y,z=x2+y2-4z2+z lnx

Q: e²x-2x-1 x² f(x) = a) lim f(x) x⇒0+

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Q: 2 3s + 9 Option 4 Option 2 -3t e 2 3 e 23 c -34 3 None of the choices 3 -34 2 Option 1 e

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