1 Evaluate the ・20 @ following Integrals do B I 0 (3+2600)

Q: Find the first and second derivatives of the function. g(x) = -5x³ + 10x² + 4x − 64 g'(x) g"(x) =

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Q: Evaluate the integral. 37 sec 37 sec -2x tan ³x dx

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Q: 5) If f′(z) = e^z and f(0) = −3, find f (z).

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Q: π 6x Find the linearization L(x,y) of the function f(x,y) = eº cos (7y) at the points (0,0) and 0,-…

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Q: square for the following equation? x^(2)+6x+13=5

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Q: Find the absolute maximum and absolute minimum values of the function over each of the indicated…

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Q: C(t)=63.5te−0.15t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

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Q: Let a = (0, -4, - 3) and b -4, -3) and 6 = (-2, 1, 0). Find the angle between the vector (in…

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Q: metal Bar at a temperature of 120°F is placed in room temperature 10F, If after 20 mins, the…

A: Given: T1=temperature of the metal bar, 120°FT2=room temperature, 10°FT=temperature of the metal bar…

Q: Let (5,2,2). P-(1.-2,0). A=(4,3,0) be points in R³. Find the general equation of the plane P in R³…

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Q: Find by implicit differentiation. dy dx dy dx 11 3x² + y² = 4

A: Please see the below picture for detailed solution.

Q: Find the centroid (x, y) of the region bounded by the two curves y = sin x, y = 4 cos x, x = 0, and…

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Q: Find the mass of the solid bounded by the planes x+z=1, x-z = -1, y = 0, and the surface y=√z. The…

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Q: Solve the given differential equation. 3ydx - 3xdy + xdx = 2dx

A: 3ydx-3xdy+x9dx=2dxwe know ∫xndx=xn+1n+1+cd dx(yx)=xdy-ydxx2

Q: Find the scalar equation of the plane containing the line: 1₁: [x, y, z] = 1₂: [x, y, z] = [2, 6,…

A: The solution is shown below-

Q: Question 5 of 10, Step 1 of 1 The variable a is jointly proportional to the square of band c. If a =…

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Q: Find all local extreme values of the given function and identify each as a local maximum, local…

A: Topic:- Application of derivetive

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 4xy + 5y², Po(-4,1),…

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Q: If f is decreasing and its graph is concave up on (0, 1), which of the following could be the graph…

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Q: Find the Laplace transform Y(s) = L{y} of the solution of the given initial value problem. y" + gy…

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Q: Evaluate the limit sin 2x 6x lim x→0

A: N=limx→0sin2x6x∂ ∂x(sinx)=cosx∂ ∂x(xn)=nxn-1

Q: Given the graph of y = f(x) below, at which of the marked x-values can the following statements be…

A: Given: Graph of y = fx To find: The value of x for which the given statements are true.

Q: If is differentiable, then the function. e + f(x) √√3 is differentiable.

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Q: If   C(t)=71.4te−0.4t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

A: The concentration of drug in a person's system is given by the function:C(t)=71.4e-0.4t

Q: 6. Use the Mean Value Theorem to find all values of c in (6, 14) such that f(b)-f(a) f'(c) = for…

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: The figure shows a lamina that is shaded according to the given density function: darker shading…

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

Q: 53 2 5 -4 -3 -2 -1 U V 2 3 Q Find the components of the addition of the two vectors u and v shown.

A: Ans= <0,-6>  For detail...go through the solution...I have solved step by step with the help…

Q: If   C(t)=79.8te−0.13t measures the​ concentration, in ngml​, of a drug in a​ person's system t…

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Q: n constructing an open rectangular box from 1323 ft² of material, what dimensions will result in a…

A: NOTE: Refresh your page if you can't see any equations. . x=length of the box y=width of the box…

Q: π Find the length of the curve y = In (3 sec x) from 0≤x≤ 3

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Q: [2-R] [CLO 13] On the Cartesian plane, sketch the solutions to 2x + 4y ≥ 8.

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Q: A stick is thrown into the river at 12:00 PM at the location of the measuring device and travels…

A: We have to find the average acceleration form the above table given.

Q: A baseball team plays in a stadium that holds 53,000 spectators. With ticket prices at $10, the…

A: Given attendance denoted by = x there are two points ( 38000 , 10 ) & ( 42000 , 8 )

Q: (x+1 Q. #7 For the function g(x) = 3 if x 2 constant "b" that makes g(x) continuous at x=2 Final…

A: g(x) is continuous    here we find value of b by using condition of continuous function

Q: Use Ay f'(x)Ax to find a decimal approximation of the radical expression. √84 What is the value…

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Q: Find the components of the vector - 4c based on the vector shown.

A: The magnitude of the vector in x direction is represented by i component. The magnitude of the…

Q: Evaluate the limit tan 7x lim x 0 sin 4x

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Q: Setup and solve an iterated double integral that is equal to the volume of the solid in the first…

A: We have to find volume.

Q: Find the volume of the solid that lies under the elliptic paraboloid x/4 + y²19 21 and above the…

A: We have given paraboloid x24+y29+z=1 and rectangle [-1, 1]×[-2, 2]

Q: Find the volume of a pyramid with height 28 and rectangular base with dimensions 5 and 7 using…

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Q: h(x)=5.5x-3.42 The leading coefficient of the polynomial ​

A: We know that the leading term of polynomial is term that contain the highest power of variable.

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: You are given the graph of a function f. Determine the intervals where f is increasing, constant, or…

A: To determine the intervals where f is increasing The function is increasing when function goes up…

Q: Complete the parametric equations of the line through the points (1,8,3) and (4,-6, (t) = 1 + 3t…

A: The parametric equation for the line through (x, y, z) and (a, b, c) is: (x, y, z)+t((a, b, c)-(x,…

Q: volume of the solid formed when the region bounded by y = x and y = = x¹ is rotated about the…

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Q: Find f.  F"(x) = t2 - 4

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Q: Evaluate the limit sin 5x lim 10 sin 2x

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Q: Q18 Given s = 3a²c-2bc + 5abc² (a) (b) da dc || ||

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Q: Let a = (3, 5, — 3) and b = (1,3,0). Find the projection of b onto a. proja b=

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