1. (w² – z² – 4z – 1))dw + 2w(z + w + 2) dz = 0

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Q: Given: g(x) = the square root of x, find g(x+h) - g(x) / h

A: This question can be solved by applying the concept of function and rationalization.

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Q: Find the derivative of the function. h(s) = -2/7s2 + 9 h'(s) =

A: Solving the problem by finding the derivative of the function.

Q: Find the derivative of the function. Functions f(t) = (3t + 18)2/3 Symbols Relations f "(e) = Sets V...

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Q: ds Find the function s(t) satisfying = 5-4 cos t and s(0) = 5. dt ds The function satisfying = 5 -4 ...

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Q: Q4: Evaluate the function at the given values f(x) = v20 – x² when x = - 4

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Q: perty tax is based on the assessed value of a property. A house that has an assessed value of $150,0...

A: Given query is to find the relation between value of the property and the tax.

Q: Given: f(x) = 3x2 - 5x + 1, find f(2+h) - f(2) / h

A: The objective is to find f(2+h) - f(2) / h.

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A: For the solution follow the next step.

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Q: Consider the following matrix. 1 k 2 -5 6 1 Assume that the matrix is the augmented matrix of a syst...

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Q: Use the Lagrange multiplier method to determine the maximum and minimum values of f(x,y) = 4x2 + 10y...

A: We use Lagrange multipliers method to find the maximum and minimum value of f(x,y) .first we find ou...

Q: 13.

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Q: If the given values in a right triangle are cos A = * and a = 2, find the hypotenuse c %3D 2/2 3 c. ...

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Q: Determine the equation of the parabola whose graph is given below. Write the equation in general for...

A: Solving the problem by finding the equation of the parabola.

Q: 3. Use integration to determine the formula for the "equatior: given that : F(t) = ( 2t , 12e" , sin...

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Q: Hint: The rate of change of temperature is proportional to the difference in the temperature and the...

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Q: Given the following vectors a = (-1,-2),5 = (-3,-4),c = 2,-1), d = (-4,3) Use the dot product and sc...

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Q: 6. Find the domain of the following functions (where defined) a). f(x,y) = square root x+y+1/x^2 - ...

A: We can solve as follows

Q: Find the derivative of the function. 9(t) - t2 g'(t) »

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Q: 1. Find the derivatives of each of the following functions. (a) f(x) = cos x In r O (z) = In(cos a) ...

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Q: Differentiate the functions

A: As per our guidelines we are supposed to answer only one question i.e. the question no 17. For the s...

Q: 3.1 (x+1) (x'+5x+2) ふeren ta ee

A: Topic = Derivative As per guidelines , At a time only one question can be answered.

Q: Suppose that dz converges. What can we conclude about the constant p? Op>1 Op Op< 3

A: Explanation of the answer is as follows

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A: We have to find the limit at the given function from the given graph.

Q: 1. (w? – z2 – 4z – 1))dw + 2w(z + w + 2) dz = 0

A: We use exact and non exact differential equations concept to solve the given differential equation. ...

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Q: Find the solution of the differential equation that satisfies the given initial condition. 2t + sec ...

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Q: If b = 1, c = 2, and ZA = 60o, find a. %3D

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Q: in Exercises 21-26, a function h(x) is defined in terms of a differen- 21. Mx) (x) 23. h(x) = -(-x) ...

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Q: y=2 x=1+y e) (2y+5x) dx dy answer: 31 y=0 X=0 2x (2xy - 1)dy dx answer: 3 -1 y2

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Q: Use the properties of logarithms to evaluate each of the fol -17 (a) 3 Ine + Ine (b) log, 20 – log, ...

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Q: What is the future value of $1,540 invested for 5 years at 5% interest compounded monthly? Round you...

A: Topic = Algebra

Q: Öz Use implicit differentiation to find and 3yz? – x In(yz) = z. dx dy

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Q: Using initial guess x, = 3, apply Newton's Method to calculate X1, X2, and x3 to find an approximate...

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Q: Use the fact that the resistance of a wire carrying an electrical current is directly proportional t...

A: The length of the copper wire, l = 10 ft The resistance of the copper wire, R = 0.2 ohm The constant...

Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -0. (If a...

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Q: the table of values for y = f(x) to complete a table for y = f=1(x). (Order your answers from smalle...

A: Given query is to find the the inverse function from the table.

Q: Find the derivative of the function. h(s) = -2/752 + 9 h'(s) : %3D

A: Given query is to find derivative of the expression.

Q: find the f(x+h) - f(x) / h for: f(x) = x² - 5x - 1

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