(2-1)(x-2) (shape a++)

Q: Find the sum of the first 14 terms of the geometric sequence 1 9,  1 3, 1,   . (Round your answer…

A:

Q: d dx tan x S 2 2 1 + tdt

A:

Q: Use linear approximation, which is mathematically expressed as L(x) = f(a) + f '(a)-(x - a), In…

A:

Q: couple received a $131,000 inheritance the year they turned 48 and invested it in a fund that earns…

A: According to the given data we have the following: present value of deferred annuity=$131,000…

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = where is the…

A: Topic- Functions We are given P=14.7e-0.21x Where P is the atmospheric pressue in pounds per square…

Q: Calculate the gradient of f(x, y) = cos(x² + 3y) Vf= ←

A: We have to find the gradient of the given vector.

Q: A function contains the following ordered pairs. ((0, -8), (1, -6), (3, -2), (4, 0), (5, 2)) Which…

A: To find the function: Find a general rule satisfied by all the elements .

Q: 2. Convert the following standard a. (y + 1)² = -2(x + 2)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). x18 x118 Provide your answer…

A:

Q: If I cut a Pizza into 2 equal pieces, How long is the crust(circum.) is each piece??? Smidget Radius…

A:

Q: could you please show the solution cleaerly ?

A: Given series:- ∑n=1∞an=∑n=1∞4Pn5n

Q: 1. Evaluate the following integrals: 5/2 d. S3 1 1/2 2 2x -x -dx

A: The integral is  ∫1/25/2 12x3-x2dx

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

A: Concept: Trapezoidal rule : ∫ydx= h2[y0+y6+2(y1+y2+y3+y4+y5)] Simpsons one-third rule: ∫ydx=…

Q: 2y dx (1-y)' 7

A:

Q: If f(x) = (3x -5)e-2x , find f'' (x)+ 4f' (x) + 4f(x)

A: To determine the given value with derivatives and function

Q: Find the directional derivative of the function f(x, y, z) = xe³ + ye² + zeª at the point (0, 0, 0)…

A: The given function is:f(x,y,z)=xey+yez+zex

Q: Find the critical points of the function x3 ² + 2x² - + 2x² - 12x. 3 Use a comma to separate…

A: for critical points  f'(x)=0d dx(xn)=nxn-1

Q: he manager of a large apartment complex knows from experience that 110 units will be occupied if the…

A: NOTE: Refresh your page if you can't see any equations. . x=number of units y=price per unit from…

Q: Question Three (a) Prove that F(x, y, z)= (y² cosa+z³)i+(2y sin a-4)j+(3rz+2)k is a conservative…

A:

Q: Suppose that you have open a saving account with initial deposit of $ 5000, you continue to deposit…

A:

Q: f(b)-f(a) Find the value or values of c that satisfy the equation b-a f(x) = 3x³ - 3x², [-1,2] =…

A:

Q: Evaluate the following limit using L'Hospital's rule. Provide your answer below: lim (cos(9x))(+2)…

A: d dx(lnx=1xd dx(cosx)=-sinxd dx(xn)=nxn-1sinxcosx=tanx

Q: Find the equation of the lines tangent to the curve x² + y² = 4 and parallel to the line x = 3 ?…

A:

Q: Find a power series representation for the function. 8 + Χ (1 − x)2 f(x) Σ( 1) η Determine the…

A: The given function is: f(x)=8+x(1-x)2

Q: Find the value of f'(9) if f(t) = 10√t - 7 √t

A: Here is the solution:

Q: Solve the formula for r. 1 n=f+c+ = r

A: The given formula n=f+c+16r We have to find the formula for r.

Q: Use the Alternating Series Test, if applicable, to determine the convergence or divergence of the…

A: NOTE: Refresh your page if you can't see any equations. . use the alternating series test

Q: a. Find the linear approximation for the following function at the given point. b. Use part (a) to…

A:

Q: Use a geometric series or the nth-Term Test to determine the convergence or divergence of the…

A:

Q: Graph the line with the given point and slope. Using the format of graph in picture. 1.) (-6,4);m=…

A:

Q: a) Sketch by hand a slope field for the differential equation y'= x/y. Use it to sketch the four…

A: We need to find slope field.

Q: Consider the point (음, %) Fort 1. Find (sc (t) A).& 10 22-1 B) 은 C) - 음 이응 Ja 100 0)-10 F) - g) none…

A:

Q: A box with a volume of 8m³ is to be constructed with a gold-plated top, silver-plated bottom, and…

A: Given:         Assuming the box is a cube.         The volume of cube = side³           side3=8…

Q: Consider two nonnegative numbers x and y where x + y = 2. What is the maximum value of 11x²y? Enter…

A: Let's find maximum value of function.

Q: 1. xe3xdx

A:

Q: Find the slope of the curve x3 = (y - x2)2 at (1,2).

A: Topic:- application of derivatives

Q: First, compute the gradient of the following function. Then evaluate it at the given point P. F(x,y)…

A:

Q: lim 1→3 n 2 i=1 1 n1+ (2i/n)

A:

Q: Use polar coordinates to set up and evaluate the double integral JJ f(x, y) = 5arctan, R: x² + y²…

A:

Q: Determine the vertex, focus, directrix and axis of symmetry of the parabola with the given equation:…

A: we need to find out the vertex, focus, directrix and axis of symmetry of the parabola and also need…

Q: Evaluate √80 22² x²e-x² dx.

A:

Q: (a) Verify Green's theorem in the plane for ∫C​(3x2−8y2)dx+(4y−6xy)dy, where C is the boundary of…

A: Note: as per guidelines we support only one question in one request. Kindly repost next questions in…

Q: (x-9) State where the power series Σ=1 is centered n³

A:

Q: Find the derivative (be sure to simplify): f(x) = sinh(ln(x²))

A: Given query is to find the derivative of the expression.

Q: What is the maturity value of a $52590 investment in 27 months if interest is 4.3% p.a. compounded…

A: Topic - Compound interest We are given: Present value=PV=$52590 Time =t=27 months Rate of interest…

Q: In (ecos5x) dx

A: Given query is to find the integral.

Q: Let f(x,y) = 2x^2 + xy −y^2. Prove that the directional derivative of f(x,y) at point x = (3,−2) in…

A:

Q: Using test points from the original function give where the function is i 0x1 0x1 Ox>-3 Ox 1 x < 1

A: Solve this function by taking derivative greater than zero

Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 8 sin(x). If ƒ(0) f'(0) = 3,…

A:

Q: What is the slope of the line tangent to the curve x² + y2 = 1 and parallel to the line y = - 2 ?…

A: Given query is to find the slope of the tangent line.