Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set. 3x - 5y +z+7 = 0 - 9x + 2y + 3z + 21 = 0 5x - 9y - z-7 = 0

Q: A solution to the trigonometric equation 2 sin² x = 2 – - V3 cos x i. 90° ii. O° iii. 30° i only i a...

A: Given: 2sin2x=2-3cosx   As we know that; The Pythagorean identity; sin2θ+cos2θ=1    

Q: Let {an}n=1 be a convergent sequence such that a1= V5 and an+1= 5an Compute lim an

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Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x° +0.07x + 14x + 60...

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Q: he demand, D, for a new rollerball pen is given by D = 0.006p° - 0.4p + 180p, wherep is the price in...

A: Since you have asked multiple question, we will solve the first 3 part of the question for you as pe...

Q: If sec 4θ = csc(θ+20), then θ is equal to?

A: topic - trigonometric identities

Q: CHAIN RULE DERIVATIVES Directions: Differentiate the given fnctions 7) gx) = 13lbc" (5bt 4c t 9)s

A: Given function g(x) = 13bc3(5b+4c+9)5 Find:- Find differentiation with respect to 'x'

Q: 3. Use Gauss-Jordan Method to find the solution of the system of equation below. Enclose the Gaussia...

A: In this question we have to find the solution of the system of the equation using the Gauss-Jordan M...

Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y= x ...

A: Differentiate with respect to x. 

Q: Consider the function f(x) (-00, A, A, B), (B, C, and C, ) where A, and C are the critical numbers a...

A: Topic = Functions

Q: 3 sin (x) 4- V1-x2

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: 2. Use the Integral Test to determine if the series 1 (n+ 2)/4 n=1 converges or diverges.

A: Given problem:-

Q: Consider the function f(x) 2x + 6x2 18x 54. a. Find the first derivative. f'(x) b. List any critical...

A: Given problem:- Consider the function f(x) = 2x³ + 6x² -18x-54   a. Find the first derivative. f'(x)...

Q: 5] compute: 7A -5B where: 2+3i itqi -si A = 3+7i -4 ?b-8 7 3ti 2+si ?5-8 5-2i -4-3i 8ミ チ+

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: Using the separation of variable method, solve the following differential equations dy а). = x³ y? %...

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Q: (-) (4) Let an = sin for n EN = {1, 2, 3, ..}. sin-1 n+1 (a) Determine if the sequence {an}=1 conver...

A: Given problem:-

Q: 1dx

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Q: If cos? 0 – 3 cos 0 +2 = sin² 0 and 0 an acute angle, then the value of (4 cot 0 + 2 csc 0) is 8. 3 ...

A: Given query is to find the value of indicated expression.

Q: Use the Integral Test to determine if the series 1 Σ (n +2)°/¾ n=1 converges or diverges.

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Q: If f(x) = x + V2 – x and g(u) = u + v2 – u, is it true that f = g?

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Q: Check if the following is true or false: (x² + 3)dx = 18 %3D

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Q: Given revenue and cost functions R(q)=80q−0.2q2 and C(q)=15q+500​, find the quantity that maximizes ...

A: This question can be solved using the concept of maxima and minima.

Q: Using calculus, find the volume of the solid defined by 1<r< 3,0 <osT/2 and 0 < O ST.

A: The objective of the question is determine the volume of the solid at given region.

Q: The sum of squares of two consecutive odd numbers is 130. Find the sum of the numbers. Let: x = 1st ...

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Q: Question 4 Evaluate the integral *dx, 2" -+C In2 A +C In2 B 2 -+C In2 D +C In2

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Q: IV. Problem Solving: A. Write the expression as a single Integral = xp(x)f S +xp(x)fT 2. f f(x)dx – ...

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Q: Carbon decays exponentially. How many grams of the carbon will be left in 123 years, if 161 grams we...

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Q: 8. y = In(x + V +1)

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Q: s, if any, of the given functions. De ion is increasing or decreasing. y = = x' - x

A: We will find the maximum and minimum value. 

Q: Write the equation for a sphere centered at the point ( 10, 10, – 8) and has the point (9, 1, 6).

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Q: Give a recursive definition for each of the following. (You don't need to prove your definitions are...

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Q: 10. x= cost; y = sin't

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Q: 1. y= x - x'cosx + 2xsinx + 2cosx

A: solution:-(1)y=x3-x2cosx+2xsinx+2cosxy'=ddxx3-x2ddxcosx+cosxddxx2+2xddxsinx+sinxddxx+2ddxcosx=3x2-x2...

Q: 9 y= Arctan( 1-2x

A: Use simple differentiation twice to get the answer.

Q: Question 7 4dy Evaluate the integral ; 5y +2 (A In|5y +2| +C 5 (B -2미by+ 리 + C In|5y +2| + C (D In|5...

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Q: Determine the value of the given integral given the equation presented below. Answers should be expr...

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Q: 2sim x-1 -y = COST+2

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Q: 1. y= x-x'cosx + 2xsinx + 2cosx

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Q: 4. Starting from the same point, Royden starts walking eastward at 0.5 m/s while Nilo starts running...

A: Draw a schematic diagram of given question.

Q: 2. 5x 2 -4 [4, o) )(-00, 1] or [4, o) D[1, 4] )(-0∞, 1]

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Q: Q1) For the following functions, find fxx, fyy, fxy and fyx. 1. f(x, y) = e* + x In y + y In x

A: Since you have asked multiple Questions, we will solve the first question for you. If you want any s...

Q: Use the First Derivative Test to find relative (local) maximum points points, if any, of the given f...

A: given 

Q: Evaluate the Integral 3sin2ß) 4 cos2ß dß. A 30 - (4 – 3sin2f) 5 + C (4- 3cos28) 5+ C B 30 -(4- 3cos2...

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Q: Imagine that at a particular time, a kitchen counter has on it 10 bacteria and that this type of bac...

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Q: 7hen a drug is intravenously administered to a patient on a continuous basis, the amount A (in milli...

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Q: 7. y= tan e+ e

A: This is a problem of differentiation of the function. By using general formula of the differentiatio...

Q: True or False Any whole number is divisible by 3 if and only if the sum of its digits is divisible ...

A: We have to find the our statements are true or false

Q: Q 1) Find an antiderivative for each function. S dt : a) S (1 – cot? x) dx b) +2) dx

A: We know that,  Int(x^n)=x^n+1/n+1+c And, Int(1/x)=log|x|+c

Q: Question 6 Evaluate the integral J sinh? COSA(2X) +C cost(2x) A sint(2x) B +C sinh“(2x) +C 8 cost4(2...

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Q: Evaluate the integral x Inx dx Select one: 3 3 O ri Ina- +C O 3 Inz In r- +C O- In z- +C O None of t...

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