Describe all the x-values at a distance of 15 or less from the number 10. Enter your answer in interval notation. To enter ∞o, type infinity. To enter U, type U.

Q: Solve for x using the system of 6. equations. 7y = 5x and 35 + 4x = 3y

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Q: The ideal gas law is known as PV = nRT Where P, V, n, and T refer to pressure, volume, moles and…

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Q: Find the slope (if it is defined) of the line determined by the pair of points. (If an answer is…

A: Given query is to find the slope of the link ne.

Q: A point is located in a polar coordinate system by the coordinates r = 5.4 m and = 32°. Find the x-…

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Q: The fox population in a certain region has an annual growth rate of 6 percent per year. It is…

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Q: 6 by power Series method, Solve the following ODES: Σ m=0 amxm = a₂ + a₁x + a₂x² + a3x³ +....... •ý…

A: The solution of the differential equation is given below.

Q: Find the area of the surface generated by revolving the curve y = x-axis. The area of the surface is…

A: Given curve, y=-x321,-26≤x≤0

Q: converges

A: We have to determine the given series is convergent or divergent using integral test

Q: Which of the following is true? A differential equation involving derivatives of one or more…

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Q: 0.75-carat diamond is $5150. If the weight and the price of the diamond is linearly related, and you…

A: Given query is to find the weight of the dimond can be bought in $8900.

Q: Find the indefinite integral. (Use C for the constant of integration.) 2 z√ 25z² - 49 √₂√² dz

A: Let's solve given integral.

Q: The unit cost, in dollars, to produce bins of cat food is $2 and the fixed cost is $11524. The…

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Q: The average price of a 0.5-carat round diamond is $3700 and the average price of a 0.75-carat…

A: Given query is to find the cost of 2.5 carat diamond.

Q: Find a formula for the exponential function passing through the points (-1,2) and (1,8) y =

A: We can find the exponential function as below.

Q: (5) A unit disk centered at the origin is sliced so that the right portion has width h. De- rive a…

A: Given fx=1-x2 width of the slice is h

Q: 2. Find the area of the surface generated by revolving the given curve about the y -axis. (a)…

A: The surface area of the curve is given by

Q: In a series resistance-capacitance DC circuit, the instantaneous charge Q on the capacitor as a…

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Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

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Q: A graphing calculator is recommended. For the function, consider the following. nd g(--/-) g(x) =…

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Q: Sketch the vector field F(x, y) = xỉ + yj and calculate the line integral of F along the line…

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Q: If x=log b5 and y= log b2, express log 50 in terms of x and y. log +50= (Simplify your answer.)

A: Given query is to express logarithmic term as x and y.

Q: 12. Find and simplify f(x)−ƒ(a) - for each of the following functions. x-a (a) y = f(x) = x² +4 (b)…

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Q: F] Draw a rough sketch of the following relations. (Show work) 1) f(x) = 3x - 2 2) f(x) = x² + 4 3)…

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Q: Determine the point(s) at which the given function f(x) is continuous. f(x)=√6x +30 Describe the set…

A: We have given function  fx=6x+30 Function will be continuous if  6x+30≥0 6x≥-30 x≥-306 x≥-5 Interval…

Q: +6 x² 2 - 4

A: To write the form of partial fraction decomposition for the given expression.

Q: The conversion of temperature units from degrees Fahrenheit to degrees Celsius is given by the…

A: Given query is to find composite function.

Q: 1. Find the G.S. and P.S. of y" = 6x, y'(0) = 2, y(0) = 1.

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Q: For what value of the constant c is the function f continuous at 6 where if b ≤ 6 Jcb + 9 c(b)² 9 if…

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Q: The cost, in dollars, to produce a designer dog leashes is C(x) = 7x + 1, and the price-demand…

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Q: 24. What does the integral test tell us about the summation below? A. The integral test cannot be…

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Q: Find the area of the surface generated by revolving the curve y = √2x-x², 0.5≤x≤1.25, about the…

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Q: 1. Find the G.S. and P.S. of y" = 6x, y'(0) = 2, y(0) = 1.

A: We can solve the given differential equation by using the variable separable method.

Q: 13. Identify the best integration technique for the following: (sin.x cos³x) dx A. Partial Fraction…

A: Identify the integration technique

Q: 3. d² y dx-² 5 -3x4 y d³y dx-3 = x ln x

A: Here is the solution:

Q: The function x²y=4+Cy is the solution to the Differential Equation 2y'+xy²=0 Note: C is arbitrary…

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Q: 3. Which of the following functions, 2 x(t) = 1, x(t) = ²/₁ is a solution to the DE x'= -x²? x(t) =…

A: As per our guidelines we are allowed to solve only 1 complete question. kindly repost others. THANK…

Q: a focus is at 2. The center is at (-2,4), a vertex is at (3,4), and (4,4)

A: We have to find the equation of ellipse.   According to our guidelines we can solve only one…

Q: The function f(x) has a critical point at x = 3. This could mean that A. There is a minimum at x-3…

A: Given that the function f(x) has a critical point at x=3.

Q: 'ind the general term of the sequence, starting with n = Determine whether the sequence converges,…

A: Topic:- sequence and series

Q: Evaluate the line integral r(t) = (sin t, cos t, t), F · dr, where F(x, y, z) = −3xi + 2yj + 4zk and…

A: Given:- Fx,y,z=-3xi+2yj+4zk rt=sint,cost,t To find:- ∫cF.dr , where c is given vector rt ,0≤t≤3π2

Q: 12. Find the antiderivative of the following expression: sin (x)] 6sec (x) - 12cse' (x)] A. 6sec (x)…

A: Integration formula ∫ (cosec2xdx) =-cotx+c ∫xndx=xn+1n+1+c

Q: find the derivative of the function using the definition of derivative & state the domain of the…

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Q: How many of the following relations are functions? ((-1,1), (1, 2), (2, 2), (2,-2)} N-1 5r-6y - 12…

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Q: 5 4 3 2 in -5 -4 -3 -2 -1 77 1 1 2 -3 -5+ ● 2 Write the domain of the function above using interval…

A: A graph of a function is given below. To write the domain of the function above by using interval…

Q: The graph gives the number of farms in the United States from 1850 to 2000. y 7000 6000 5000 4000…

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Q: iF w=f(x-y₁ y-Z, Z-x) then dw dw dw = ? dx dy dz Chain roll

A: Chain Rule : If w= f(a,b,c) and a=g(x,y,z) ; b= h(x,y,z) and c= l(x,y,z) then…

Q: 2 X • xý - (x+2) y = -2X²-2x Ans: y=C₂x²³ +2×

A: Given :xy'-x+2y=-2x2-2xy=∑m=0∞amxm=a0+a1x+a2x2+a3x3+...

Q: Evaluate the following Limits: 3 1. lim x418 2. lim. 1 3+ 2x x-1 x-1 √4x+5-3 3√x6+8 3. lim x→∞0…

A: 1) Given, limx→-∞33+21xLetL=limx→-∞33+21xL=33+21-∞We know that…

Q: The unit cost, in dollars, to produce tubs of ice cream is $12 and the fixed cost is $7200. The…

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Q: On the graph shown, what is f(2)? Y 000 -1 02 3 CJ 7 4 C-C x

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