Which of the following expresses 1-4+16-64 +256 in sigma notation? 5 a. Σ(-4)k-1 k=1 4 b. Σ (-1) (4)k k=0 ... 2 C. Σ (-1)+1(4)k+2 k= -2

Q: Solve the initial value problem dy dt = 4t + 9t², y(1) = 3.

A: We  will find the required solution of initial value problem.

Q: Given four points A(-6,-5), B(4,b), D(5,5) and E(3,7). The straight line AE cuts the y-axis at C and…

A:

Q: Set up the triple integral for the function f(x, y, z) = 5 over the solid {(x, y, z) | x² + y² + z²…

A: The given function is:f(x,y,z)=5Solid S= (x, y, z) | x2+y2+z2≤28,  z≥0

Q: A company wants to use data thas collected to predict customer satisfaction (as a percentage) based…

A: Please see the below answer.

Q: Given the vectors v and u, answer a. through d. below. v=7i-3k_u=i+j+k a. Find the dot product of v…

A: Concept: The scalar product of the two specified vectors is referred to as the dot product of two…

Q: Determine if the following sequences converge or diverge. If convergent, find the limit. You must…

A:

Q: 1. Find the equation of the tangent line to the graph of the function implicitly defined by the…

A: given that, 3y+cos(y)=x2  and ordinate is 0 find the equation of the tangent?

Q: Concept

A:

Q: Given the vectors v and u, answer a. through d. below. v = 10i+2j-11k u = 3i+ 4j a. Find the dot…

A:

Q: 3) (6349 #3 p. 114) Let y = f (x) = 14x^2 + 3x. Find the increment ∆y and differential dy. Find the…

A: f(x)=14x2+3xd dx(xn)=nxn-1dy=f'(x)dx∆y=f(x+∆x)-f(x)

Q: Decide whether the series So Use a comparison test to a p series 15k4 k5 + 5k + 3 k=1 k=1 converges…

A:

Q: 5 The gain of an amplifier is found to be G= 20 log (10V out) :: The tasks are to find equations…

A:

Q: Find the absolute maximum and minimum values of the following function on the given interval. If…

A:

Q: A vehicle purchased for $25,000 depreciates at a constant rate of 8%. Determine the approximate…

A:

Q: Use Newton's method to approximate a root of the equation 3x² + 6x² +4 = 0 as follows. Let x₁ = 3 be…

A:

Q: Calculating First-Order Partial Derivatives In Exercises 1-22, find af/ax and af/ay. 17. f(x, y) =…

A:

Q: A box with a square base and open top must have a volume of 78732 cm³. We wish to find the…

A: let  length of base = x  height = y volume V = 78732

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 6 –…

A:

Q: The position of an object in circular motion is modeled by the given parametric equations, where t…

A: given  x=2sin(π6t)               y=2cos(π6t)     sin2x+cos2x=1           x2+y2=4time=2πw    where w…

Q: For the given cost function C(x) = 78400 + 700x + x², First, find the average cost function. Use it…

A:

Q: Determine the following limit, using ∞ or -∞o when appropriate, or state that it does not exist. lim…

A:

Q: 1. 3 (6-x²)²

A:

Q: Use a definite integral to find the area under the curve between the given x-values. 3 X f(x) = from…

A: To find the area under the curve.

Q: (2,8) a -2) ← f'(x) b (6,-5) graph of f' is shown. If f(2)= 17, the

A: Topic:- calculus

Q: Escape Velocity The minimum velocity required for an object to escape Earth's gravitational pull is…

A:

Q: 6. If f(x) = 3x - 4 and g(x) = x², find the value of f(3) - g(2).

A: Disclaimer: Since you asked multiple question, we will solve the first question you. If you want any…

Q: 2. For what values of "C" is the function & continuous on (-00,00) When fix)=2x+c.ifx<l [3x²+20,…

A:

Q: Find the Jacobian J of the transformation T(u, v, w) = (u (—v— 7), −7u (1 − w), 2uvw) = (x, y, z).…

A: The given transformation is:T(u, v, w)=u(-v-7), -7u(1-w), 2uvw=(x,y,z)

Q: Evaluate the following integral. 4 3-3x 3-3x-y !!! 00 Sdz dy dx 4 3-3x 3-3x-y SS 00 0 dz dy dx =…

A:

Q: Use the transformation u = y-x, v=y to set up a double integral necessary to evaluate SS R on the…

A:

Q: Given a nominal interest rate of 4.0% compounded quarterly, determine the starting principal…

A:

Q: Consider the function y= x Find y'.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Edwin is a lifeguard and spots a drowning child 60 meters along the shore and 40 meters from the…

A: Let Edwin run x meters before jumping in the river. Then the student is at a distance of (60 - x)…

Q: Let f(x, y) = 5x² + 3x + 7y + 4y² + 3xy. List the critical point: The critical point is a Select an…

A:

Q: If the population of squirrels on campus t years after the beginning of 1855 is given by the…

A: Givens(t)=40001+21e-0.95t   We need to find t when s(t)=3600

Q: Find the Taylor polynomials p3 and p4 centered at a=0 for f(x) = (1+x)-³. P3(x) =

A: we will find the required.

Q: of air per minute. Find the rate at which the radius is changing at the moment when the radius is 25…

A:

Q: f(x, y) = 2cos(2x-9y) and g(x, y) = -9cos(2x-9y). af ду og dx The partial derivatives and are equal.…

A:

Q: 1. After Thanksgiving with her extended family, Surrena has a splitting headache. To take the edge…

A:

Q: Let A = O 2√6 00 O-2 02 Note that the quadratic formula = O -1 2 3 -2√6 Find the sum of all…

A:

Q: dx (6-x²)² 3

A:

Q: Find the accumulated amount after 3 years if $4000 is invested at 4% / year compounded continuously.…

A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If…

Q: Let f(x) be a function that is defined and has a continuous derivative on the interval (2, ∞).…

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

Q: If 1000 square centimeters of material is available to make a box with a square base and an open…

A:

Q: The arc length function for a curve y = f(x), where f is an increasing function, is s(x) = -fv² (a)…

A:

Q: (a) Evaluate the following integrals: (i) x²edx (4) J dx (l) J e* sinh (-)dx

A:

Q: One base of a trapezoid is decreasing at a rate of 888 kilometers per second and the height of the…

A:

Q: Name each quadrant described. 5.) a. sin > 0 and cos 0 0 and sin(90° + 0) >0

A: To determine the quadrant in which the given angles lie.

Q: The series converges. Σ 2( − 1) 1.1-0.2/k○ diverges k=0

A:

Q: For the function f(x, y) = 3x² — 5xy — 5y² + 4x − 3y + 5, find a unit tangent vector to the level…

A: The given curve is: f(x,y)=3x2-5xy-5y2+4x-3y+5