A painting is purchased as an investment for $125. If its value increases continuously so that it doubles every 4 years, then its value is given by the function V (t) = 125 2/4 for t > 0 where t is the number of years since the painting was purchased, and V (t) is its value (in dollars) at time t. Find V (16) and V (20). V (16) =$ V (20) = $

Q: F(x)=√x² about x = 16 using te Legler Series what be the first three tems. LAXE

A: fx=x Taylor series at x=afx=f(a)0!x-a0+f'(a)1!x-a1+f''(a)2!x-a2+f'''(a)3!x-a3+.....

Q: Calculate d.S where F = (4x³z, 4y³z, 3z¹) S is the surface of the solid bounded by the hemispheres =…

A: Given that , F=4x3z,4y3z,3z4 and bounded by z=16-x2-y2 , z=1-x2-y2 and the plane z=0. Calculate…

Q: Suppose that f(x, y) = D x at which {(x, y) | 2 ≤ x ≤ 4,2 ≤ y ≤ 5}. Y - ✔ Then the double integral…

A:

Q: 10) Compute the integral over D: √₁₂(x + y (x + y) dx dy y=2r D 3 لنا y=x

A:

Q: (a) x (1) - (Type an exact answer) A)

A:

Q: efi Consider the vector field F = Evaluate F(t) = t²i+t³j, 0≤ t ≤3 F. dr along the curve C:

A: To solve the following integral for 0<t<3.

Q: This question is based on the following table, which shows the number of foreclosures in three…

A: Let's rearrange this table of foreclosures such that the name of the states comes in column and the…

Q: Find the surface area of the part of the plane z = 7+ 2x + 6y that lies inside the cylinder x² + y²…

A:

Q: Find the complex zeros of the following polynomial function. Write f in factored form. + 170x² + 169…

A: We have to find the complex zeroes of the given function.

Q: Approximate the area under the curve graphed below from 8 using a Left Endpoint approximation with 5…

A:

Q: Determine the center of mass in (x, y) for the lamina bounded by the graphs of the equations below.…

A: y= √(x-4) y=0 x=5 Density function= 23xy

Q: Trying to prepare a budget, Gerald has done research and found that he spends an average of $92 on…

A: For finding the amount of money after paying the bills , we will use the concept of savings…

Q: 6 Evaluate ay ds where C'is the right half of the circle x² + y² = 9 C Calculator Check Answer

A:

Q: A pendulum has a length of 0.83 m. What is the period of this pendulum? Express your answer to two…

A:

Q: x + 2 x²-4 For the function f(x)=- lim, f(x) find the limits.

A:

Q: Evaluate the following iterated integral. lze dy dx dz ○ 8(1-e) ○ 8(1-e-¹6) O None of the above 0²…

A: We have to evaluate the given triple integral. For this first we will integrate with respect to y…

Q: Evaluate the integral, [ (In S (ln(x))² X -dx

A:

Q: A projectile is launched so that its velocity in feet per second at t seconds is given by the…

A:

Q: 3 9. So dx (x+2)√x+1

A: The given integral is 1/[(x+2)(sqrt(x+1))], x from 0 to 3.

Q: The graph of g(x) = Ixl+d is the image of f(x) = xl after a single transformation. What is the value…

A:

Q: Use the Trapezoidal Rule to estimate the number of square meters of land in a lot, where x anc meet…

A: The given data is:

Q: Find the lengths of the sides of the triangle PQR. P(2, -3, -2), Q(8, 0, 4), R(11, -6, -2) |PQ| IQRI…

A: An isosceles triangle is a triangle that has two equal sides . In a right triangle square of the…

Q: Sketch the conic. Include the directrix that corresponds to the focus at the origin. Label the…

A:

Q: fx(2, 2) = fy(2, 2) = # f(x, y) = x² + 4x¹y.

A:

Q: Textbook Given f"(z) Find ¹ƒ(²)= @Videos [+] = - -36 sin(6x) and f'(0) = -1 and f(0) = 4. Question…

A:

Q: of r(x) L (a) Estimate f(x)dx f(x)dx. -4:85

A:

Q: Find the surface area of the part of the plane z = 2 + 5x + 3y that lies inside the cylinder x² + y²…

A: We have to find the surface area of the part if plane lying inside the cylinder.

Q: Evaluate the definite integral by interpreting it in terms of areas. 9 [(5x (5x – 20)dx 3

A:

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) 4x² +6 X lim X-3 If the…

A: We have to evaluate the limit algebraically:limx→-3 4x2+6x

Q: Sx³√x² - 16 dx

A:

Q: Approximate the zero(s) of the function. Use Newton's Method and continue the process until two…

A:

Q: Given the equation: e-0.07t = 0.05 Solve for t. Round your answer to four decimal places.

A:

Q: Consider the vector field F r(t) = t² i + t³j, 0≤ t ≤1 Calculator Check Answer - Evaluate LP F. dr…

A:

Q: Find Lady + yda, where C is the arc of the curve y = e² for 0 ≤ x ≤ 3

A:

Q: Evaluate Szy² ds where C' is the right half of the circle a² + y² = 4

A: Given: The curve C is the right half of the circle x2+y2=4. To find: Value of the integral ∫Cxy2ds.…

Q: (b) Use metho a maximum value and Let 8(x)=f(1)dt, 0≤x≤7 where the 0 (a) At what value of x does…

A: Graph

Q: Find the maximum perimeter of a right triangle with hypotenuse 21 cm.

A: To find the maximum perimeter of a right triangle with hypotenuse 21 cm.

Q: (a) Find and evaluate the first-order partial derivatives of the function. f(x, y) = 2e³ ln(ry) (b)…

A:

Q: Use the substitution u = xy and v = xy²

A:

Q: Find the surface area of the part of the plane z = 6 + 2x + 3y that lies inside the cylinder x² + y²…

A:

Q: Electric charge is distributed over the triangular region D shown below so that the charge density…

A: We can solve this question by the help of double integration method  First find the equation of line…

Q: find the global maximum and minimum values of g(t) = 4t + (1/t) on the interval 0.1 ≥ t ≥ 10

A: Given function g( t ) = 4t + 1t

Q: Differentiate the function f(x) = ((cos(x))/(sin(x)-2ln(x))

A:

Q: -2000x √25-x² A firm has the marginal-demand function D'(x) = - The demand function is D(x) = where…

A: Given

Q: Evaluate = fay²da + zªdy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

A:

Q: Find the derivative of the function & write your answer in simplified, fully factored form y = (x² -…

A: Given

Q: H 4 7:0 g: 4 L!! Which graph is the inverse of the graph shown? JOU X

A:

Q: 6) [4x³ In(x)dx

A: Consider

Q: The region bounded by f(x) = -1x² + 4x + 21, x = 0, and y = 0 is rotated about the y-axis. Find the…

A: fx=-x2+4x+21

Q: If z = -4x² + 2y² + 5y, find the differential dz. You should have variables dx, dy, y, and x in your…

A: