Solve for x, y and z using (a) Cramer’s Rule, (b) Inverse Matrix Method

Q: The base of a solid is the region enclosed by a circle having a radius of 7 cm. Find the volume of…

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Q: )A. Let,g(t) be the solution of the initial value problem with g(1)-1 Find g(t) g(t) 1/(14) B. Let…

A: We have to find the solution of the given differential equation.

Q: 56x²5x-50 15x²-44x-20 20x²-7x-6 2x² + 9x + 10 n

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Q: Find the solution of the differential equation y(t) = = 1 t sec y = 6 cos t { x + + + ² ( 1 ) x - *…

A: The given differential equation is  y'+1/5sec(t/5) y= 6cos(t/5) , y(0) = 1  where 0<t/5<

Q: Find y' of tan(x²y4) = 3x + y²

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: 15-16 Find the domain of each function. 1 - et² 15. (a) f(x) (b) f(x

A: Please refer to the image below

Q: Given the equation of parabola y² + 4x - 2y - 11 = 0, find the following: A. Standard form / Vertex…

A: Solution is here

Q: Use Gaussian elimination and Gauss Jordan method to solve the system of linear equation. x - 2y-6z =…

A: The given system of linear equations, x-2y-6z=122x+4y+12z=-17x-4y-12z=22 We have to find the…

Q: 5. If f(x)=x²-3x+2 and g(x)=√√4-3x A) Find fog (-2) = B) Find go f (1) T

A: We can solve it by the help of function of function method.

Q: The loudness, L, in decibels(dB), is given by the formula L = 10. log loud in decibels is this sound…

A: Topic- functions We are given,Loudnes L, in decibels(dB) by the formula L=10·logII0where I is the…

Q: lim ex-4 X→4

A: Using tabular methods to calculate the limit at x tending to 4.

Q: The average speed of a gas molecule in meters per second is Vaug molar mass M is given in…

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Q: Consider f(x)=5x-3-41/x^2 Which of the following does the x-intercept of the tangent line at x=2…

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Q: EXAMPLES Find an equation of the tangent line to the parabola y--&x+9 at the point (2.-3). SOLUTION…

A: Find equation of tangent line

Q: A. Exact Differential Equations Verify that the following DEs are exact, then find the general…

A: Consider the differential equation               M(x,y) dx +N(x,y) dy =0…

Q: 3 Calculator active. Line L is tangent to the graph of y = 2 sin x at the point (k, 2 sin k), where…

A: Equation of tangent line L of a curve y=f(x)  at a point (a,b) is given byy-f(b)=f'(a)(x-a)

Q: 3) Use the appropriate integral formula for the length of a curve represented by a function y = f(x)…

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Q: then n = √a· √² = √d" 5 n q q and m =

A: am.an = am+n .

Q: Estimate f′(1)f′(1) where f(x)=x^3+1x^2−19x+4 to within one decimal place by using a small enough…

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Q: e the integral: [₂³ 1 A r² dr

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Q: Write the standard form of the equation of the circle with the given center and radius. Center…

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Q: Consider the following graph of y = f(x): s What is the lim fx f(x) x-0 A.0 B. 1 OC. -1 D. 2 E. The…

A: From the graph we can see that as x tends to 0, f(x) tends to 1.

Q: During each cycle, the velocity v (in meters per second) of 9 a robotic welding device is given by v…

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Q: OV 7 The graph of a linear equation, y = f(x) is shown above. Find the interval where f(x) < 1.…

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Q: 10) A semicircle of radius 2r is inscribed in a rectangle so that the diameter of the semicircle is…

A: The length of the rectangle is l = 22r = 4r The width of the rectangle is w = 2r Formula Used: The…

Q: Use implicit differentiation to find dy/dx for the following: 2x^3 - y^3 - e^y = 10

A: This question can be solved using the concept of differentiation of implicit and explicit function

Q: A firm produces a good from two raw materials X and Y which can be bought at unit prices of pX and…

A: We need to find x and y.

Q: 7- 7+3 7-2 + 3 北

A: Solution ) ( y + 3 )/( y - 2 ) + ( y - 3 )/( y + 1 )  L.C.M. of ( y - 2 ) ( y + 1) = ( y - 2 ) ( y +…

Q: Complete the table and predict the limit, if it exists. (Round your answers to three decimal places.…

A: Let's find limit is exit or not.

Q: Please help me answer this question  Brenda is stumped when it comes to graphing polynomials.  She…

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Q: f(x)=5sin(2x) - 2x² - 4x Find the maximum or the minimum of the function using newton's method of…

A: Newton's method of optimization is the general method for finding the minima or maxima of the given…

Q: Evaluate A. 30 S 7 dx -2 B. 35 C. 40 D. 45

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Q: If f'(x) = e^x - 5x and f(1) = -12, then what does f(x) equal?

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Q: Differentiate. f(x) = 8 e 6x f'(x) = [

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Q: Determine algebraically whether the function is even, odd, or neither even nor odd f(x) = - 0.72x^2…

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Q: f(x)=2x-1 9X+1

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Q: Use the Intermediate value theorem to show that the given polynomial F(t)= 2t2 + 3 - 3t has a real…

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Q: 9²-9 9² + 69 79 2 9²-29-3 9² +29-3 2

A: To simplify ans solve the given question

Q: A curve passes through the point (0, 2) and has the property that the slope of the curve at every…

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Q: Draw the region of integration and reverse the order of integration to 1 I T.C. Y evaluate the…

A: The given integral is: I=∫01∫y1ex2dxdy The bounded region by the curves x=y, x=1 from y=0 to 1 is as…

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

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) force e (9 + 7e ³/2 dr

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Q: K Use the following formula. nt A = P + C Suppose that you drive 50,000 miles per year and gas…

A: a) Number of gallons needed for hybrid   = 50,000/50 = 1,000 gallons/ year     Number of gallons…

Q: N 2 -3 EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²-8x + 9 at the point (2,…

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Q: 4 f(x)=x+acos x, where a is a positive constant and 0≤x≤ 2. Find the x-coordinates of all points,…

A: The function is given by fx = x+acos(x), a&gt;0 and0≤x≤2π The equation of the line is y = x+a To…

Q: y!!" - 5xy¹ = ex +1

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Q: 3. Check for homogeneity and obtain the general solution. (Let 4C=C) (x² + y²)dx + xy dy = 0

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Q: Integrate: 16-y4 y³ - dy

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Q: Solve for the complete solution of the differential equa y" − 6y' + 9y = 0; y(0) = − 1, y'(0) = 2.…

A: Topic:- differential equations

Q: 3) A university has 10 lecture halls. Each lecture hall has 15 rows of desks supo de With 5 desks in…

A: totak lecture halls=15