Find values of a, b, and c such that the graph of the polynomial p (x) = ax²+bx+c passes through the points (1,7), (-1, 13), and (2,7). a= i b= i C= i

Q: 16. Using the limit as h goes to 0, find the slope of each of the following: a) ƒ(x) = −6x² + 7x − 3…

A:

Q: A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the…

A: Given problem:- A thermometer is removed from a room where the temperature is 70° F and is taken…

Q: Evaluate the integral [x²y³² (x²y + xy² + y²²)dxdy dz 001

A: see below the answer and calculation

Q: Write an equation (any form) for the quadratic graphed below 15 3 2 1 5 -4 -3 -2 -1 2 3 4/5 -1 -2 -3…

A: We have to find out graph

Q: 1. A spring is stretched 175 mm by an 8-kg block. If the block is displaced 100 mm downward from its…

A: NOTE: Refresh your page if you can't see any equations. . the given mass is   kg . the spring…

Q: If sin t =1/ 5, and tt is in quadrant I, find the exact value of sin(2 t), cos (2 t), and tan(2 t)…

A:

Q: integral is easier to evaluate in one order than the other. Find the best order and evaluate the…

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: For the solution follow the next step.

Q: Q5/ Determine the positive root of f(x) = x10 - 1 using the Newton-Raphson method and an initial…

A: Given

Q: Solve the given initial-value problem. dx-x - x = 5y², x(9) = 1 x(x) = 51,² – 404 y Give the largest…

A: To solve the given differential equation.

Q: 3. A cable goes over a frictionless pulley at B and supports a block of mass m. The other end of the…

A: Solution

Q: Write the first five terms of the sequence: +∞ {√n² + 10n - n } n =1 Determine whether the sequence…

A:

Q: 5) Find 16 (ja) 1 & 2 (Geja)) 3 G = 3+3D 1+2D For

A:

Q: 5. For what values of x will the function, f(x) = a) -6,0 b) -6, -3,0 x-3 x³+3x²-18x be…

A: Given :f(x)=x-3x3+3x2-18x

Q: Find the area and arc length 1) 11 ft 3) 315 16 ft

A:

Q: 8. What rule should be used in deriving f(x)=x5? A. Constant rule B. Sum rule 9. Find dy/dx y=e³x A.…

A:

Q: Find the limit if it exist if it does not exist right DNE limit X to zeros in 2x/4x

A: This question can be solved using the concept of limits.

Q: Which of the following is an example of a series such that Σa, converges but Σa, diverges? Α.Σ (1) 3…

A: This is a problem related to series and sum calculation. Based on the general formula and concept we…

Q: A) For the functions below Find fx. fy fy and fy (Answer the Mary). 1)f(x, y) = x²y + cosy + y sinx.…

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: To determine whether the given diffrential equation is exact.If if is exact, to solve it. If it is…

Q: If y = 1/2 u + 4 u - 4 3/4 O-25/289 and u = none of the above √x + x 10 find dy dx when x = 4.

A: 1. y=u+4u-4 and u=x+x102. y=fx2+9 and f'5=-2

Q: 4 Evaluate the indefinite integral by using the substitution u = y² + 4y² + 2 to reduce the integral…

A:

Q: Transcendental Curve Sketching 6. y= 5. y=(x+2)e²+1 1 7. y= (ex + 1)² 3* - 9 lnx-2 8. y=xe*

A: Transcendental Curve Sketching. (5).  y=(x+1)ex2+1     We have, y=(x+1)ex2+1      It's graph is :…

Q: Which of the following is not a hypothesis of the Integral Test? Assume f(x) is such that a = f(n).…

A:

Q: Determine whether the series converges. The series converges. O The series diverges. 00 k ΣIn(k+1)…

A: The simple statement use for series..

Q: The count in a bacteria culture was 200 after 10 minutes and 1700 after 30 minutes. Assuming the…

A:

Q: Fill in the following blanks: (Choose Six only) 1) An example of a nonlinear third-order…

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

Q: In Problems 6-10, let R be the region bounded by y=x² + 1 and y = x + 1.Each problem will describe a…

A:

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

A:

Q: What is the interval of convergence for power series & n³ (x+1)”. -? 3" n=1 A.(-3,3) 4 2 B. —— 3…

A:

Q: The graph shown below f(x) = 3sin(x). X If g(x) = f(t) dt, what is g′ (π)? 1 2 3 4 5 5432- +++hat O…

A:

Q: Use the subsitution t = tan(x/2) to transform the integrand into a rational function of t and then…

A:

Q: Find the integral f(x,y,z)dA of the function f(x,y,z)=(x+2)(y+3)(z+4) over a right S triangle in the…

A: Given f(x,y,z)=(x+2)(y+3)(z+4) To evaluate the surface integral ∬Sf(x,y,z)dA over the given surface…

Q: For #s 7-8. Choose from the given options the slope of the curve at the given point. 7. y = x² +…

A:

Q: Find the derivative to by implicit differentiation Sinx +4 cos y=3

A:

Q: Indeterminate Form 1 1 6. lim x-0 sin 2x

A:

Q: solve using laplace transform y" + y = f(t) 69- where: y (0)=0 y'(0)=1 1 1 0, 0≤ t 2π

A:

Q: Consider the equation 4y^2 + z^2 − 4x − 8y + 4z + 8 = 0. Then classify the surface it represents…

A: Given equation of surfaces 4y2+z2-4x-8y+4z+8=0

Q: Find the absolute maximum and minimum values of the following function over the indicated interval,…

A: To find the absolute maxima and minima  of a function f(x)(i) find x such that f'(x)=0(ii)  find the…

Q: f(x) = x²+6x+5 x-1

A:

Q: The light intensity on a point is given 1()=5 ²+2/+16 1+2 Find the minimal intensity and the time at…

A:

Q: Solve the equation by the method o f homogeneous differential equatio ns y' = ² + tan (2) x In |tan…

A:

Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A:

Q: Find the derivative y by implicit differentiation 4xy2=5x+8

A:

Q: Find an explicit solution of the given initial-value problem. (1+x¹) dy + x(1 + 4y2) dx = 0, y(1) =…

A: See the answer below

Q: 15 10 -L₂¹⁰ ƒ (² f(x)dx - where a = f(x)dx = Sª ƒ(2)dx and b

A:

Q: Find the equation of the curve that passes through the point (0, 3) and has a slope of 2 x+1 O y =…

A:

Q: Compute the following integral: [x²√1 + x¹ dx

A:

Q: Find the area of the region between the curves y=x and y=x^3 on the interval [-1, 1]

A:

Q: Z=√2(cos135+isin 135)

A: