3. y= 1 at point (0, -) X-3

Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A: deandn=a.ean 

Q: 3a + 4b = ( lal =

A: The objective is to solve the above question.

Q: n² + 2n + 3 E-1)" 5n4 +n+1 n=1

A:

Q: 3. Determine whether F is a conservative vector field. If it is, find a function f such that F= Vf. ...

A:

Q: For items 5-7: Given that f(x)dx = 3 and g(x)dx = 4, evaluate 5. [4 f(x)– 3 g(x)]dx А. 12 В. О С. 24...

A: Let's find. 

Q: 3. The statement f(x) dx = [ f(y) dy is, A. true B. false C. sometimes true D. neither true nor fals...

A: Given,            The statement is ∫abfxdx=∫abfydy.To find : Check whether the statement is true of ...

Q: Find the length of the tangent to a circle from point of tangency to point (8,2) . The circle is def...

A:

Q: Match each Power Series with it's centre. One of the series is not a Power Series, so match that ser...

A: The power series with center "a" is given by: ∑n=0∞an(x-a)n

Q: The area which is inside the circle r = 8 cos 0 and outside the circle r = 2 cos 0. %3D

A:

Q: Consider the following limit. 6x2 + x - 1 lim x - (-1/2)+ 10x² - 5x - 5 Simplify the rational expres...

A:

Q: Given the System of Differential Equations dx = 4x dt dy = 3x – 5y dt Rewrite the System as a Matrix...

A: we know that  x' = dx/dt  y' = dy/dt 

Q: 1. find an equation of the line tangent to y = x-3 at point (O,-) %3D

A:

Q: х+3if x1 6. lim x→1 f(x) f(x)

A:

Q: Write an equivalent first-order differential equation and initial condition for y. y= -1+ ](5t - 3y(...

A:

Q: Consider a closed rectangular box with a square base with side length `x` and height 'y'. Find the s...

A:

Q: nclude spaces in between 5. d te In (In y)) at y dy

A:

Q: 1. It is the process of finding the set of all functions whose derivative is known. B. antiderivatio...

A:

Q: 8. 15 Use the figure above to find the exact value of sin 20, cos 20, tan 20. sin 20= cos 20= tan 20...

A:

Q: 4. Which of the following statements about the definite integral is/are false? f(x)dx=1 II. f(ex)dx=...

A: Given three option We should check the condition is true or false And identify which is false

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 4 and a root of multiplicity 1...

A:

Q: du 13. (1 + t) - + u = 1 + t, t> 0 dt dr + r = te' dt 14. t In t

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 10i +3, NOTE: Enter the exact answer...

A:

Q: Apply Differential Equation A lake has a volume of 458 cubic km, and its rate of inflow and outflow ...

A:

Q: Use Theorem 7.1.1 to find £{f(t)}. (Write your answer as a function of s.) f(t) = sinh kt L{f(t)} %3...

A:

Q: What is the average value of the function f(x) = sin2xcos3x on the interval [0,? a. t b. 0 π с. d. 1...

A:

Q: Find

A: We will find the derivative of the above function using logarithmic differentiation. 

Q: A=TTr Vr? th2. The radiu ight circular cone rand height h à gilen b A=TrVr? th? is in creasing at Th...

A:

Q: 1-cost lim sint et-1 + t t t+0

A:

Q: Solve the following initial value problem. y6) -2y" +y' 3 + 7x e*; y(0)=y'(0) = 0, y"(0)= 1 The solu...

A:

Q: 1. lim x2 – 2x + 4 x→1 f(x) f(x)

A:

Q: f (x) %3D х* — Зх3 + 2x? +х — 1. 1.Know the function Find the Taylor polynomial for а = 2 and orde= ...

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y= 2 andy = = 2x about the l...

A:

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 3 and...

A: Given query is to find the formula for polynomial p(x).

Q: A particle moves on a straight line with velocity function v(t) = sin ot cos' at. Find the position ...

A: integration

Q: Find f x) and f xof fCx) = 11x³

A:

Q: 21,500 %3D C. The cost to maintain inventory for the weather balloons is given by C(x) = where x is ...

A:

Q: Let f(x)= (2x-3)/(x-3). Find the interval(s) where f(x) is concave up, and the interval(s) where f(x...

A:

Q: 12) Find the volume of the solid bounded by x² +y² = 4 and z=x+y in the first octant.

A:

Q: Find the equation of the tangent plane to the graph of 5y f(x, y) at the point (4, -7). (Use symboli...

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y =x' and x = y about the x-...

A: Given query is to find the volume of solid generated.

Q: Let a = and b =. Show that there are scalars s and t so that sa + tb =. You might want to sketch the...

A:

Q: Find the adjoint of A (1 2 4 A =3 4 5 2 -2 2

A:

Q: Prove that lim (9x* - 25) = -9

A:

Q: using the first derivative test, determine the relative extrema of the function f(x)= 1/3x3-2x2-5x-1...

A: Given query is to find the extrimas for the function.

Q: Match each Power Series with it's centre. One of the series is not a Power Series, so match that ser...

A:

Q: Suppose that R1 = 7.71 + 0.83t and R2 7.71 + 0.43t model the revenue (in %3D billions of dollars) fo...

A:

Q: Analyze and sketch a graph of the function. Find any Intercepts, relative extrema, points of inflect...

A:

Q: Let f(x)= √2x^2+2x+5 f'(x)= f'(2)=

A: Given fx=x2+2x+5 To find f'(x) & f'(2):

Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 50 v cos 50 de

A:

Q: Evaluate / (ei + a* ) dt

A: