as a single logarithm and, if possible, simplify. -log b +3 log c log b + 3 log c = Use parentheses to indicate the argument of the logarithm.)

Q: Use basic identities to simplify sin³ x + cos² x sin c. Enclose arguments of functions in…

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Q: Graph several level curves of the following function using the given window. Label at least two…

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Q: Find r(t) if r'(t) = 4t³ i + 5t+j + √tk and r(1) = i + j. r(t)

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Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2

A:

Q: 6 6 Suppose ff(x) dx = −4 and g(x) d -4 3 3 6 Evaluate (3 f(x) — 3 g(x)) dx. 3 Remember to include a…

A: Given that ∫36f(x)dx=-4   and ∫36g(x)dx=-3 we have to calculate , ∫363fx-3gxdx. To solve this…

Q: Use the quotient rule to find the derivative of the following. 2 x²-5x+1 y= 2 X +5 y'=0

A: derivative

Q: Using calculus, find the absolute maximum and absolute minimum of the function f (x) = 6x² − 36x + 2…

A: We want to find absolute minimum and maximum .

Q: solve this problem using washer method and explain the process

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Q: 0 3² 3x - 4x dx 5x

A: Basic identities of integration are used.

Q: following

A: We have to find the value of the given condition according to the given information

Q: Q2: Find y(2) if D.E as give dy 2+3y=sin 2x, y(0) = 6 dx Given

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Q: if (1+i)(x+iy) = 2+4i then 5x is : O 15 O 10 O 5 O 3

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Q: Let v(t) = (t², -4t,9). Compute the derivative of the following function. v(e¹)

A: Solve the following

Q: * Find dy/dx for the function y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

A: We know that derivatives  general power rule is - d(xn)/dx = nxn-1. And d(sinx)/dx = cosx ;…

Q: * Find dy/dx for the function_y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

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Q: 1. Evalaute lim ƒ(x), lim ƒ(x), lim f(x) for I-3+ H-3- I-3 f(x) = { 2 -x+4 x - 3 x <3 I 23

A: Topic = Limits As per guidelines , At a time only one question can be answered. please repost for…

Q: Q:3) A) Test the following surface for maxima minima and saddle point: Z=5+xy+x²+2y+3x

A: See this solution in below

Q: 55,000 Suppose that the demand function for a product is given by D(p) = and that the price p is a…

A:

Q: f(x) = 5x + 3x4 -8x²+2x+9 Degree:

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 35e7%dz =

A: Topic = Integration

Q: Solve the given differential equation by separation of variables. dy dx x√ 1 - y² y = =

A: Solving the problem by finding the value of the problem.

Q: Find f′(x), if f(x)=(x4+1)(3x−1).

A:

Q: 9) Find the point on the parabola y = 10-x² closest to the point (0, 5.5).

A: Given question:- Find the point on parabola y= 10-x2 closest to point (0,5.5)

Q: Consider the region R bounded by the curves y = 2 sin(2x) and y = 0 in the interval [0,] with a…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: x 2) Discuss the continuity of the graph of f(x) given below on the closed interval [-4, 2] D(-4,6)…

A: This question is related to continuity of functions, we will solve it using given information.

Q: Q3 Find the value of Q. where Q = M/N. " 6 3 1 M= 7 -2 -1 40 1. Add file L-3 4 ГО TO N=1 L2 91 1 3 7…

A: See this solution in below

Q: A manufacturer's total cost equation per day is given by the equation TC = 440+4q+,00010². If each…

A:

Q: 2 2 J 1 2 3

A:

Q: Express as a single logarithm and, if possible, simplify. log (x²-2x-35) - log (x²-25) log…

A: Using log(a)- log(b)= log(a/b)

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: Given that a  differential equations and we classify each differential equations is separable, exact…

Q: Q2/ Reversing the order of integration ſª ſªxsinydydx.

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Q: R: y² = 4x, y = 4, y -axis

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Q: Jse calculus to find the open intervals on which the function f(x) = x+8√√2-x is increasing or…

A: solution given below

Q: Q3: Solve the following differential equation by using Variable Separable Method: (y² +1) ecosx y²…

A: Topic = Differential equation

Q: f dx 3sinhx - 5 cosh x

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

Q: Find the local maxima, local minima, and saddle points of the function, f(x,y) = x³ + 3xy + y³

A: Topic = Functions

Q: * Parallel lines have the slope (m1x m2 )= -1 true False

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

Q: Can you please write out an explination that shows steps?

A:

Q: 7. Use the Divergence Test to determine whether thee following series diverge or state that the test…

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Q: 24 S2−3x√1 + y² dydx 0

A: To solve the following iterated integral.∫02∫x24-3x1+y2 dy dx

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: ux v of u = 2i + 3j, v = -i + j is *

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Q: Which of the following graphs represents the function g(x) = x(x + 1)²(x − 2)? g(x) 4 4 3 g(x) 4 3 O…

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Q: 8. Use the Integral Test to determine whether k4 Σk5 +55 k=1 converges.

A: Solve the following

Q: Find the indicated derivative and simplify. -[9x log x6] dx [9x log x] = 9x1 dx

A:

Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)-0 Find y(0.1)?

A: Please see the below picture for detailed solution.

Q: 35

A: Please refer to the image below

Q: Laplas Inv Q1/ Find -1 s² (s+1)(S-1)²

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Q: Find the integrating factor u(x) and solve the differential equation (integrating as a total…

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