Question 30 a) If the the average value of the function g(a) 6a-3a over the interval 0,is given as 4, then find the possible value of the number h.

Q: 1. Prove using vectors that the points (-1, 3, 3), (0, 1, 2), (2, 2, 2), and (3, 0, 1) are the…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: For each problem, use the method of cylindrical shells to find the volume of the solid that results…

A:

Q: A cable lowers equipment into a mine shaft. After 5 minutes the equipment is 243 meters from the…

A: The given problem is solved below in detail.

Q: At time t in seconds, a particle's distance s(t), in micrometers (um), from a point is given by s(t)…

A:

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. Σ n V n2 + 4…

A:

Q: 6x

A: How can i find the intercepts of this Equation F(x)= x^3- 6x^2 write down the co - ordinates of…

Q: TAKE NOTE: KINDLY WRITE IT DOWN ON A WHITE PAPER AND USE THE TEMPLATE BELOW WRITE IT PLEASE ON A…

A: The region is bounded by the graphs,  y=x2-2 and y=6-x2

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) r cos(s) u du = ds J

A:

Q: Find the function satisfying the differential equation f'(t) – f(t) = -2t and the condition f(2) =…

A:

Q: Consider the model of Newton's law of cooling and warming given by: dT 40 -T T(0) = To. dt 4. The…

A: This question can be solved using the concept of solution of differential equation.

Q: Test for convergence or divergence, using one of the tests listed below. 4 n3 - 343 n = 8 O…

A:

Q: Let y = f(x) be the solution to the initial-value problem dy = -3x + 2y dx with the initial…

A: Given the initial value problem is dydx=-3x+2y,  f(1)=0.5,  h=0.1 Here  f(x,y) = -3x+2y, x0=1,…

Q: Solve the logarithmic equation. 2 log x= log (10x- 250) + 1 X3= (Simplify your answer. Type an exact…

A:

Q: For each problem, find the volume of the solid that results when the region enclosed by the curves…

A: Solution is given below:

Q: Find the absolute maximum and minimum of the function f(x,y) = 2y + 64x – 14 over the closed region…

A: The solution is given in the next steps.

Q: : If a linear system has the augmented matrix 1 3 1 -2 0 Then x1 = 0, x2 = 0, x3 = 0 is a solution…

A:

Q: +2=0 (p) (e) In e -lna4 In 3 In r 4 In 3 (f) log16 Vr +1 = 4 %3D

A: In these equations x value exists only if the equation is valid.

Q: IV. In each of the following, evaluate | F(t) dt: 4 1. T(t) = 7(t : 1+t î – e-2 ĵ– te' k ; a = 0 and…

A: According to company rule we can answer only first question and rest can be reposted.

Q: 1. Prove using vectors that the points (4, 3, 0), (2, 0, 1), (4, 1, -1), and (2, 2, 2) are the…

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

Q: Evaluate the indefinite integral as a power series. What is the radius of convergence? d.x 1+ x5 13.

A:

Q: 4. Tell whether the transformation appears to be a dilation. Explain. a. Yes; the figures are…

A: Tell whether the transformation appears to be dialatioan

Q: A produce grower is purchasing fertilizer containing 3 nutrients: A, B and C. The minimum weekly…

A: (a) Write down the LP Model. In Blend 1,the number of units of the nutrient of A is 2n .In Blend…

Q: Determine the extreme values of the ff. functions. f(x) = 2x^2 +8x -11 on [2,4]

A: This is a problem related to maxima and minima. Based on the general concepts we will answer the…

Q: .     f(x) = a/x2+b2 B.      f(x) = sin(ax+b) C.     f(x) = (x-a)(x-b) describe the critical…

A: Solving questions

Q: Solve the initial value problem dy 9(t + 1) – 6y = 18t, dt for t > -1 with y(0) 11. y =

A:

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

A:

Q: Consider the following function. f(x) - x2 - 8x (a) Find the critical numbers of f. (Enter your…

A:

Q: a, Find the points of intersection of the curves y= x² +6 and y= 5x. %3D X, = and x2= %3D b, Find…

A:

Q: etermine the hybridization of carbon in CH4. In a seperate sheet explain, how you decided the…

A: Find your answer below

Q: Question 4 Given y=[ 2 +(x²+1)ª ]³; Find y' O Y = 64 (x2+1)° O (E) None of the choices O y=24x…

A:

Q: 2. ) If a = 3i, b = i+j, c= i – 2j then: a) Find a + b + c in in i, j form. b) Find b + 2c in i, j…

A:

Q: Problem #7: Use the chain rule to find the value of when t= 3. z = 2x – 2y2, x = 7+6, y = 41 – 3 %3D

A:

Q: Given the following function: - 6x – 1 - 6x +7 if x 2 8 if x < 8 f(x) = Step 1 of 2: Find f(9).

A:

Q: 3. Find Power Series Representation of f (x) around c=0. %3| a) f(x)= and 1-x b) f(x)= (1–x)

A: Solving

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) d 7 cot (u) du = do

A:

Q: Find the break-even point(s) for the revenue and cost functions below. Separate multiple answers…

A:

Q: Find a general term (as a function of the variable n) for the sequence {a1, a2, az, a4, ...} =…

A:

Q: Choose the correct statement for the linear system whose augmented matrix is 1 -1 0 -3 8 -1 2 -2 3…

A:

Q: Write the integral in terms of u and du. Then evaluate. (8х + 19)-2 dx, и 3D 8х + 19 (Use symbolic…

A:

Q: Evaluate the iterated integral. '5 (4z fIn(x) xe-Y dy dx dz Need Help? Read It Watch It

A:

Q: A thermometer is taken from an inside room to the outside, where the air temperature is -12" C.…

A: Explanation of the answer is as follows

Q: Q2 / Find the directional derivative of f(x.y.z) 4xy +5xz2 +6yz2 At the point P(3,1,4) in the…

A: ∂f∂x=4y+5z2∂f∂x=84∂f∂y=4x+6z2∂f∂y=108∂f∂z=10xz+12yz∂f∂z=168Therefore, the gradient is∇f (3, 1, 4)…

Q: 1. 2,5,8,11,14,.... 2. 50,43,36, 29,....

A:

Q: A quadrilateral has sides equal to 12 cm, 20 cm, 8 cm, and 17 cm respectively. If the sum of the two…

A:

Q: 4 Find lim х — 4 Væ – 2 x→4

A:

Q: Solve the following equations over the given interval. 1) 4 cos? x-3 = 0 over [0°, 360°) 2) sin?x +…

A:

Q: 300÷2

A:

Q: Write the system of equations that corresponds to the following augmented matrix. 1-9 9. -3 5-4…

A:

Q: Cos x (1) What is f(0) if | f(t)dt = x cos x? sin r (i) –1 (ii) 0 (iii) 1 (iv) 2 (v) 3

A:

Q: Find the area of the region enclosed by one loop of the curve r = sin(60) 36

A: I am attaching image so that you understand each and every step.