Let f(x) = -0.4x² + 9x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal places. (our Answer: Answer

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.02t° +…

A: This question can be solved using the concept of interpretation of a function and its derivative at…

Q: QUESTION 1:-.. a) State the order of the ordinary differential equation and determine whether the…

A:

Q: B) Find for the Implicit function: dx x² - sin(xy) + y² = 5xy

A:

Q: 3. The possition function s(t) = -1612 + 30t %3D Find : (a) average velocity over the time int erval…

A:

Q: Find a parameterization of the portion of the circular cylinder y +z´ = 16 between the planes x = 0…

A: We have to find the parametrization of the cylinder.

Q: Find the area of the region bounded by the given curve:r = 5e 2 on the interval

A:

Q: Write the logarithmic equation y = In (4x) in exponential form. The equivalent exponential form is

A:

Q: Find c 0 such that the area of the region enclosed by the parabolas y- x- c and y = c-a2 is 100.

A: To find the value of c such that area of the region enclosed is 100.

Q: 3. The radius of a sphere is increased from 20 cm to 20.2 cm. Estimate the change in volume.

A: First write the volume of a sphere and then diffrenciate it and put all the values.

Q: Find the divergence of the field. F = (2x+7y-8z)i + (5x +3y+6z)j + (-6x-y+2z)H div F =

A:

Q: Question 8 dx Evaluate the integral improper integral (2x – 1) 3 00 (А) 1/9 в) 1/6 (c) 1/8 D 1/4

A:

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

A:

Q: Let й —, i = where A and B are some constants. Given that ủ + 40 = find the value of the product…

A:

Q: 2. A triangle is inscribed in an ellipse whose equation is 9x? + 16y? - 216x- 320y+ 2320 = 0. One…

A:

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

A:

Q: etermine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Given: (-5,4,-1) and (-3,-5,0)

Q: Suppose that csc(t) = and that tis in quadrant IV. Find the exact value of cos(t). -3/2 V5 V5 3 -2/3…

A:

Q: Q2 Obtain the general solution for the following differential equation. (b) y" – 4y' + 3y = 3e2x +…

A:

Q: Use the first fundamental theorem of calculus to find F'(x) F(x) = cosr' dt

A: In this question we have to find F'(x).

Q: Verify Green's Theorem by evaluating both integrals ax dA ду for the given path. C: rectangle with…

A: From: (0, 0) to (5, 0)y=0, dy=0∫ y2 dx+ x2 dy =0From: (5,0) to (5, 9)x=5, dx=0∫09 x2 dy= ∫0925…

Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from a = 0 to a = 1…

A: This question can be solved using the formula of arc length.

Q: What is the largest value of x for which the series (x - 8)" n 4 is absolutely convergent? Answer:

A: FOLLOW NEXT STEP

Q: Determine whether Hhe Series convergence or diverges. Stare which test cf con vergence ( divergence…

A:

Q: A farmer is constructing three equally-sized pens against the side of a barn for his animals, as…

A:

Q: A football is kicked from the ground 70 yards along a parabolic path. The maximum height of the ball…

A:

Q: Determine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Please see the answer below.

Q: Derivalive: f) JFonx-4 2.gm)- (Jx+ 37 Ax+1

A:

Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: (a) The given function is: f(x)=x3 The formula for the linear approximation at x=27 is given by:…

Q: When a factory operates from 6 AM to 6 PM, Its total fuel consumption varies according to the…

A:

Q: Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. A…

A:

Q: a) Favoring convenience, should you integrate with respect to r or y? b) What are the limits of…

A: Follow the procedure given below.

Q: 439) Use the matrix capabilities of a graphing utility to solvecif possible) the systems of linedr…

A:

Q: (V3, 1,0) and v = (1,0, v/2) is The acute angle between the vectors u = a) O b) A O d) None of these…

A: Given problem:- The acute angle between the vectors u = (√3, 1, 0) and v = (1, 0, √2)

Q: Given a derivative transform of s³Y (s) – s²y (0) – sy (0) – y" (0) – 382Y (s)- 3sy (0) - 3y (0) +Y…

A: We will use the formulae of Laplace transform of derivatives of a function.

Q: Find the area of the region bounded by: r 9 cos(80) 0 < 0 < 2T

A:

Q: Calculate following derivative if y(t) 21-3 + 712. (Use symbolic notation and fractions where…

A: Given problem:- if y(t) = 2t-3 +7t2 find d2y/dt2 at t=2

Q: x cos y + sin 2y = xy

A:

Q: Evaluate the sum: 2k), for n=21. k = 1

A: We can find the answer as below.

Q: x²y' + 2xy – 2y = 0

A:

Q: If x* + y* – xy+z – 3z = 1, then dz %3D a) None of these b)금 (423-y) c) y-4x3-4y3+x 2z-3 d) y-4x3…

A:

Q: :Q2 Find F(t) for the differential equation below x²y' + 2xy – 2y = 0

A: We have to find the solution of differential equation.

Q: Determine whether the function is one-to-one. {(2,6). (3,9). (– 7,3), (1, – 5)} Is the function…

A:

Q: • F(x)=x2 -7x+20, g(x)= 2x+6.

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

Q: x²y' + 2xy – 2y = 0

A:

Q: ||F(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = t’i+ t®j K(t) =

A: See the answer below

Q: QUESTION 12 Let S(x) =x2. Find the producer surplus at the equilibrium. x =3. $2 $ 27 $9 $ 18

A:

Q: Use the derivative f’(x)=x^2(x-5)(x+5) to determine The local maxima and minimal of f and the…

A:

Q: The dimensions of a rectangle are measured to be 8 ± 0.1 by 4 ± 0.2 inches. What is the approximate…

A:

Q: Determine the intersection point of the two lines or show that they do not intersect. a. The line…

A: Given problem:- Determine the intersection point of the two lines or show that they do not…

Q: Question An open-top box is to be made from a 24-inch by 36-inch piece of plastic by removing a…

A: