W = 2x³ + 3xy + 2yz - z², Solve for Wx + Wy + W₂ when x = = 1; y = 2; z = 3 a. 18 b. 17 C. 19 d. 21

Q: Given f(x) = -6x²-30x - 24 x+4 -, which of the following statements are true? Select the correct…

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Q: A-(52-5y3) x (2x² - zx) =

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Q: Solve the following differential equations. x dy + ( xy + y - 1 ) dx = 0 when x=0, y =0.

A: To solve the following differential equation.x dy+xy+y-1 dx=0, when x=0, y=0.

Q: If r > 1, nPr is less than nCr. Determine whether the statement is true or false. If the…

A: Given: If r > 1, Formula Used: Crn = n!r!(n-r)! Prn = n!(n-r)!

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

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Q: Calculate the derivative of the function. f'(x)= f(x) = 5x + x²

A: The given function is; f(x)= sqrt(5x+x2).

Q: Describe what it means to raise a number to a power. In your description, include a discussion of…

A: Concept used: Basic power rule Raising power denotes the repeated multiplication of the integer.

Q: Use the slopes of tangents to determine whether the function f(x) -6x² + 36x is increasing,…

A: This question can be solved using the concepts of application of derivatives.

Q: Which one of the following intervals is not symmetric about x = 5? a. 11, 92 b. 14, 62 c. 13, 82 d.…

A: Given function: x=5 Intervals:  a. 11, 92       (b). 14, 62     (c).  13, 82     (d).5,5.2

Q: Solve equation .Round decimal answers to four decimal places. ex-4 = 4

A: Given data:- ex-4 = 4

Q: Use an appropriate Pythagorean identity to find the Indicated value. Write your answer as a…

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Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket…

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Q: 8. н dx 3x + y

A: Topic:- differential equations

Q: Use the graph of f(x) to evaluate the following: 9 5 4 3 رنا 2 1 f(x) 2 5 Average rate of change of…

A: Graph of the function is given, we have to find average rate of change over the interval 1,4.

Q: The commutative properties state that a + b = and ab =

A: Cumulative properties:- Both addition and multiplication come under the commutative property.…

Q: Evaluate the limit of the function as x approaches zero from the left (0): lim, 0- 00 01 O None of…

A: To evaluate: limx→0- -sin(2x)1-cosx ⇒limx→0- -sin(2x)1-cosx = limx→0- -2sinxcosxsin2x1+cosx⇒limx→0-…

Q: Find all the points on the graph of f(x)=x^2+2x+1 whose tangent line goes through the point (−1,−4)

A: f(x)=x2+2x+1

Q: determine, without graphing, whether the given quadratic function has a maximum value or a minimum…

A: For a quadratic function f(x)=ax2+bx +c, when a>0 we say the function has a minimum value. When…

Q: Can you send it again cause the answer is mass up

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Q: 3. Consider the vector field F = (y cos(xy), x cos(xy), — sin(z)) and the curve C parametrise by…

A: Given F=y cos(yx), x cos(yx), -sin z

Q: The following is the graph of a function f(x). -5 -4 -3 -2 -1 5 4 Clear All Draw: 2 1 -2 -4 11 2 3 4…

A: given line pass through (1,0) and (0,-2)

Q: A wooden beam has a rectangular cross section of height h and width w (see figure). The strength S…

A:

Q: Can a real number be both rational and irrational? Explain your answer.

A: Real number This shows that there are various types of real numbers, such as natural numbers, whole…

Q: QUESTION 9 Find the equation of the tangent line of y=x² at the point (1,1) Oy=-2x+1 O y-2=--(x-1)…

A: To find the equation of tangent line.

Q: If f(8) = - 3, write an ordered pair that must be on the graph of y = f(x - 5) +3.

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Q: -10 101 MA 8 6 2 6 10 The graph of f(x) is shown in the figure. Where is f'(x) > 0? 6 8 10 X

A: The graph of the function fx is To evaluate: the intervals where f'x>0

Q: (in dollars) to produce x thousand digital music players isgiven by the function C1x2 = x2 - 140x +…

A: Given Function: f(x)=x2-140x+7400

Q: 4 Determine whether y(x) = 2e + xe is a solution of y" + 2y + y = 0. 5 Is y(x) = 1 a solution of y"…

A: The given differential equation is; y'-5y=0

Q: Evaluate the indefinite integral by using the substitution u = 7 - x³ to reduce the integral to…

A: Given the query is to find the integral.

Q: 14. A water trough has a cross section in the shape of an equilateral triangle with sides of length…

A: Given data, Side of an equilateral triangle a=1 m Height of the water level h=0.5 m

Q: 13. x² + y² + y = 7 4

A: 14. The given function x4+y2+y=7 We have to find the derivative of the function by using implicit…

Q: [² Identify the limit that represents the limit definition of the definite integral Select the…

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

Q: Use the limit definition to prove the quotient rule; i.e., find the derivative of f(x) u(x) v(x)…

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Q: 5 Is y(x) = 1 a solution of y" + 2y + y = x?

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Q: Consider the graph of y = f(x) shown below in blue. Find the open interval(s) where f'(x) is…

A: Given query is to find the interval where f'(x) is positive.

Q: For Exercises 109–111, (a) evaluate the discriminant and (b) determine the number and type of…

A: The discriminant of a quadratic equation is used to find the number and nature of the roots. It is…

Q: √√x-2 Find the derivative of y=4 °v-() ()* ✓ = (3) (5) * O None of the choices = °v-(#)()* °v-(=)…

A: The function is given by y = x-24x To evaluate: The derivative of the function.

Q: Solve the following differential equations. Question 6 ( 3x – 1 ) y’ = 6y - 10(3x – 1)1/3

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Q: Find the domain and range of the function graphed below. 8 7 6 Domain: (-00,00) 15 Range: 3 -8 -7 -6…

A: The graph of the function is To evaluate: The domain and the range of the function.

Q: True or false: = 82. 82 1.

A: Given data:- The given equation, 18-2=82

Q: rmine the equation of the plane containing the point and the line. (-7, 10,-3), r(t) = (1 - 4t, 6t -…

A: We will find the required  equation  of plane.

Q: Which of the following is a differential equation? A. dx dy B. (2x + y) dy + 5 = 0 D. yxdx xo C. ay…

A: A differential equation  is an equation that contains the derivative of an unknown function.

Q: Determine the limit: lim I 15 √x-2

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Find the union: (7, 8, 9, 10, 11} U {6, 8, 10, 12}.

A: To find the union of 7,8,9,10,11 ∪ 6,8,10,12 .

Q: 2 Determine the order, unknown function, and the independent variable in each of the following…

A: Order of a differential equation is given by the highest order derivative present in it.

Q: Could you kindly write it with pen and paper. I can't understand in this format.

A: Previous solution given is wrong, it take 5 instead of 3 in limit. Let's solve given integration.

Q: A water tank in the shape of an inverted circular cone has a base radius of 3 m and height of 4 m.…

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

Q: Simplify completely. Write your answer using positive exponents only: (2w5p¹v) (8w-8y¹5)

A: Given query is to simplify the expression.

Q: If h(x) = f(g(x)), find h'(5) given the following table of data. x f(x) g(x) f'(x) g'(x) 4 6 3 7…

A: Given:- hx=fgx

Q: f(x) = x² + 1 3-x (√x if x ≤ 1 if 1 4

A: Given :fx=x2+1if x≤13-xif 1<x≤4xif x>4