Evaluate the following summations. (a) _ Σ = 4k2 + 5k – 3 n-1 k=1 (b) Σ+1 i=1 Σ=&ij

Q: 8. u² du -3

A: L=∫-2u2duwe know ∫xndx=xn+1n+1+c

Q: The slope of the tangent line to the parabola y = 3x² + 2x + 5 at the point (1, 10) is: The equation…

A:

Q: Estimate the time for the population to reach 60,000. (Round your answer to two decimal places.) hr

A: Given query is to find the time for population to reach 60000.

Q: 3. f(x) = Χ (x+2)² 1 x+2

A: Given that  f(x)=x(x+2)2-1x+2 As per our guideline we supposed to answer only  first question, to…

Q: Determine where the function is (a) increasing; (b) decreasing; and (c) determine where relative…

A:

Q: Find the radius of convergence, R, of the series. 00 Σ n!xn 25 8 (3n - 1) n = 1 R = 11 X Find the…

A:

Q: Evaluate cosh -1(3).

A:

Q: Identify the theorems and/or identities that justify each step in the derivation below. If A and B…

A: The objective of the question is choosing corresponding identity law and rule.

Q: Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral…

A: Evaluate the laplace transform ?

Q: Farmer Ed has 7,000 meters of fencing, and wants to enclose a rectangular plot that borders on a…

A:

Q: The hands of a clock in some tower are approximately 4.5 m and 2 m in length. How fast is the…

A: Given: The hands of the clock are approximately 4.5 m and 2 m in length, that is, the minute hand is…

Q: how do I find the inverse of f(x) = 2(√x) + x^3

A:

Q: 5. ftan² x sec¹ x dx 6. f sin5 x cos x dx

A:

Q: ax Find the value of a so that the function f(x) = xex has a critical point at x = = 3.

A:

Q: xy² Find 22414A, SS dA, R= [0, 1] × [-2,2] X +1 R

A:

Q: A tank contains 100 gal of fresh water. A solution containing 5 lb/gal of soluble lawn fertilizer…

A:

Q: Selected measurements of a continuous function f are given in the table, Use Simpson's Rule to…

A:

Q: At what points is the function y= cos X 6x + 12 continuous? Describe the set of x-values where the…

A:

Q: The plane containing the point (0,-1,-8) and parallel to the plane 3x - 6y + 2z = -2 has equation…

A:

Q: Find the complex zeros of the quadratic function. Graph the function. f(x)=x²+36 x= (Simplify your…

A:

Q: Use the first derivative to find all critical points and use the second derivative to find all…

A: The given function is: y=fx=2x3+3x2-72x+4

Q: Assume C is a circle centered at the origin, oriented counterclockwise, that encloses disk R in the…

A:

Q: Consider f(x) = (a) f'(x)= = x² -1x - 78 x+6 (b) Find all points P(x, y) on the curve y = f(x) whose…

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A:

Q: Find [5 50e0.03x dx

A: I=∫50e0.03xdx∫eaxdx=eaxa+c

Q: 2) Find the derivative of the function f(x) = *³-2x x²

A:

Q: Solve, (dr + 256x)

A: To solve the following integral problem

Q: 1 // √₂²²² + 3² + ²² dV, where E lies between the spheres x² + y² + z² = 16 and E Evaluate x² + y²…

A:

Q: Find the horizontal and vertical intercepts for + s² - rs = 16, if the r-axis is the horizontal axis…

A: To solve the following problem

Q: Find dy dx dy dx = for y= x³ √9 – x³ شرح

A: Given y=x39-x3

Q: I'm confused on how you got 1.905 in the numerator

A: Pi = 3.14    The rate of volume of gravel dumped is: dv/dt = 10 In circular cone relation between…

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A:

Q: Add as indicated. Express your answer as a single polynomial in standard form. (x² + 4x +9) + (8x-7)…

A: The given expression is: x2+4x+9+8x-7  Express as a single polynomial in standard form.

Q: Find a fourth-degree polynomial with integer coefficients that has zeros 3i and -1, with -1 a zero…

A: To find a fourth-degree polynomial with integer coefficients that has zeros 3i and -1, with -1 a…

Q: Use the power series 00 Σ (-1)"x" n = 0 to determine a power series, centered at 0, for the…

A:

Q: f(x)=x²-2x+5 X= (Simplify your answer, including any radicals as needed. Use integers or fractions…

A:

Q: Let f(x)=x² + 5x + 1 and (t) = n(t) + et. Use your calculator to evaluate the following valuesounded…

A:

Q: From the properties of exponential functions, the graph of f(x)=ax always passes through the point…

A:

Q: Find the first derivative of f(x) ƒ'(x)= = 8x + 10 19 x

A:

Q: a.b= ▸ Find a ⋅ b if |a| = 8, |b| = 10, and the angle between a and b isradians.

A: We can find the dot product using the given data in the below steps.

Q: 2 W S 395 X Find the distance from the point (-9,7,4) to the line ä(t) = (-3, 2, 4)t + (2, -3, 8).…

A:

Q: D 3 The region D above lies between the two red lines and the red parabola y = -x². It can be…

A:

Q: 5) x² √2x - x² S√zi

A: ∫x22x-x2dx since you have posted multiple question i can answer first question as per our company…

Q: 1. Draw and set up the integrals for the area in the 1st quadrant enclosed by x = 4y² and x = y¹/2.…

A: I have solved step by step in detail...go through the solution

Q: Question 5 of 5 Solve the compound ineq -4x<=-28

A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 1) 2) t³ + 2t² √t dt √x (x-2) dx

A: Here is the solution:

Q: Question Set up the triple integral for the function f(x, y, z) = 4x² z + 4y²% +42³ over the solid…

A:

Q: Let F = (2xy + z²x²,2xz) and let C be the circle r(t) = (5 sin t,3 sin t,6 cos t), for 0 st≤ 2.…

A:

Q: Find a function ƒ(x) such that ƒ'(x) = −8x² + 1 and ƒ(0) = 1 ƒ(x) = |

A: f'(x)=-8x2+1f(0)=1∫xndx=xn+1n+1+c

Q: At what points is the following function continuous? f(x) = x²-2x-8 X-4 6, 1 x #4 x = 4 The function…

A: f(x)=x2-2x-8x-4,x≠46,                   x=4at x=4, f(x)=6