Find the first term and the common difference. 3 7 9. 2, - - 2' 4 ... 4 a, =], d=D %3D (Simplify your answers. Type integers or fractions.)

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A: Here we have to find the value of b-a.

Q: b) Evaluate d. dx = dt Jo

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Q: d²y Solve the ivp differential equation: dx² +y = e2*; y(0) = 0, y'(0) = { %3|

A: Given d2ydx2 + y = e2x;  y(0)=0,  y'(0)=25

Q: 6. Use Lagrange multipliers to find the minimum and maximum values of f(x, y, z) = 2x + 2y + z under…

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A: Using the definition of maclaurin series ee can find series or by given function's series we can…

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A: As we know that; The expression for the gradient or slope; m=dydx And The Power law; ddxxn=nxn-1

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A: 5.

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A: We know, ddxsin-1(x)=11-x2

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A: This question can be solved using the concept of units and measurement.

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A: To evaluate the given intgral.

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A: We need to evaluate integral.

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Q: Let Ax) = 2x - 7x +4x. %3D a. On what interval(s) is f'(x) > 0? b. On what interval(s) is fx)…

A: Given: fx=2x3-7x2+4x   The Power law: ddxxn=nxn-1

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A: Given query is to find the linear firm of the equation.

Q: 8. Given, h(x) =2 – x and g(x) = -x² + 4 a) Plot the two functions on the same graph for -2 < x <4…

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A: Here we have the perimeter of the isosceles triangle = 38 m,  Let the equal sides of triangle = x…

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A: We need to find slope and equation of tangent line.

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Q: 7. Find the length of the curve y (r + 4)/2 on the interval [0,3] 8. Set up, but do not evaluate, an…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The graph below is the function f(x) 03 -5 -4 -3 -2 3 4 -2 -4 -5 Find lim f(x) = x→ -1 Find lim x→…

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A: Given problem:- solve (2x2-y) dx+xdy=0

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Q: the answer to Step 2 is very confusing.  Can you please elaborate how putting y=4 in the equation of…

A: Apologies for the inconvenience.   Given that where the two lines L1 and L2 intersect there y…

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Q: 2 32 |for 1st<3. length of the curve c(t) =| In t,-t"

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Q: Suppose log ,2 = a and log ,3= c. Use the properties of logarithms to find the following. log b…

A: Now,                logb1728b=logb1728+logbb=3logb12+logbbUse logbb=1.=3logb12+1

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A: Given

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A: Here is the solution:

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A: Here, the given surface is: z=f(x,y)=x3-y3 To find the tangent plane to the surface at a point…