d the equation of the tangent line to the graph at the specified value of x. y=x√3-x², z = 1.

Q: example of properties of definite integral

A:

Q: 16. Evaluate the integral or show that it is divergent dx x+1 1 (a) √ (3x+1)³², I (3+1), (b) /…

A: We need to find out here  integrals.

Q: The volume of a cube is increasing at the rate of 4cm³/min. How fast is the surface area increasing…

A:

Q: 3. The region bounded by the curve y=sec x, the x axis, the y axis and the line x=0.25pi is revolved…

A:

Q: R(t) = (2 In|sec tl, sin 2t, cos 2t) Find the distance travelled by a particle along the curve…

A:

Q: 22. Calculate the arc length of the graph of (a) y = f(x) = 1⁄2x³ + x-¹ over [1,3]. Hint: (b) y = 1…

A:

Q: x² - 25 to fill in the table: Xx - 5 6 5.5 5.1 5.01 Based on ONLY the table of values above, what…

A:

Q: 2 J xe9x da 0

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Let f(x) = { 6 - x - x² if x ≤ 2 2x - 7 if x > 2 Calculate the following limits. Enter "DNE" if the…

A: On solving this we will get

Q: 3. z = x+y x-y

A: Given:        z=x+yx-y Partial derivative with respect to x:      ∂z∂x=∂∂xx+yx-y      Treat y as…

Q: TYPEWRITTEN

A:

Q: Suppose the consumption function for a particular country is c(x), where x is national disposable…

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

Q: Find the particular solution of dy/dx=6e^3x+1,andf(0)=0.

A:

Q: Let C be a curve with the parametric equations à = − ln(t + 1); y = sint, t = [0, 1]. a. Set-up the…

A:

Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂ : r = 2-2 sin (in red) and let R be the…

A: Let's solve. Two curves given r=3 and  r=2-2sin(theta).

Q: 5. Calculate the sum of the first 23 terms of the sequence defined below. tn 10+ 3n, n E N

A: We have to find the sum

Q: 10.1.16 Question Help w a Given parametric equations and parameter intervals for the motion of a…

A:

Q: Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of…

A: using double derivative test to find out height when cylinder volume would be maximum.

Q: 7. xdy = (5y + x + 1)dx Ans: y = -x-+cx5

A:

Q: Find the area bounded by the curves -x + y² = 8, x = -2y and y = -2.

A:

Q: Determine the center-radius Form of the equation of the sphere who diameter has endpoints at (2, -3,…

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

Q: In an autocatalytic chemical reaction, the product form is a catalyst for the reaction. If Qo is the…

A:

Q: 4. Evaluate the line integral along the path C given by x = 2t, y = 10t, where 0 ≤ t ≤ 1. (a)…

A: Both integral is solved.

Q: [₂7-4x dx -2 Determine the value of [4f(x) dx given that [ƒ(x) dx = 10 and ſº ƒ (x) dx = 3. 27 sin…

A:

Q: 2x³ - 4x² − x − 3 dx x² - 2x - 3 zln |x+1| +31n|x - 3| + C Option 1 2 In x + 1-3 ln|x - 3| + C…

A: Given, ∫2x3-4x2-x-3x2-2x-3dx

Q: 9. Alabama Instruments Company has set up a production line to manufacture a new calculator. The…

A:

Q: Question 6 6dx For the method of partial fractions, to evaluate S90 -1 = S Adx + S = X-1 Bdx X+1'…

A:

Q: For what value of a, we have 0= . You may explain your answer below if you like (optional). (z) < 4

A:

Q: Find the area of the region in the first quadrant bounded by the curve y = √x² + 5, the x-axis and…

A: Given: y=x2+5 Graph of the functions given are

Q: 5. (4xdy + 3ydx) + x³y² (xdy + ydx) = 0 Ans: 6x³y² + x6y6 = c

A:

Q: need the answer quickl

A:

Q: Let f be a function which has an inverse and let f(-1) = 2. If Q is the surface of revolution…

A:

Q: · ƒ³3(x + 1)(x + 2)²(x² −1)dx with and without the even-odd theorems (show both solutions).

A:

Q: Consider the points K(-1,0, 7) and M(1, -2,5), the vector MN = (1,4, -3), and the line with…

A:

Q: A payment of $2,690 was due two years ago, and a payment of $1,650 is due today. What single payment…

A: We have to solve for single payment.

Q: Ja cos³ 0 sin 20 de

A:

Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y=-2 about the…

A:

Q: Find the equation of the tangent line to the graph of the function f (x) = sin (7√) at the point…

A: Here we have to find the equation of the tangent line of the function…

Q: iven R'(t) = (4e²t, 2t ,2cosh t), and R(0) = (1, −2, 3), 1+t² find Ŕ(t), and give the parametric…

A:

Q: Calculate the average rate of change for the function f(x) over the interval-1≤x≤3

A: Topic = Algebra

Q: closed box with a square base is to contain 252 cubic feet. The bottom costs $5 per square ot, the…

A: Please refer to the image below

Q: A company determines that its total cost, in thousands of rands, for producing x  items is (image…

A:

Q: ydx-xdy + xydy = 0

A: To solve the given ordinary differential equation problem.

Q: Give the general form of the equation of the plane that is perpendicular to the plane x+2y = z + 5…

A: equation of line

Q: Compute 4 sin(TTX) d dx A. 4 sin(TTX) B. 4sin(TTX) In4 C. 4sin(x) (πIn4).cos(TTX) D. 4 sin(TTX)…

A:

Q: If f(x) = 24x + 12, find the slope of the secant line between the values of x₁ = - 1 and ₂ = = 2.

A: Topic = Function

Q: Find the inverse of 2=2-51.

A: Here, we need to find the inverse of z = 2-5i. So,…

Q: Find the area bounded by the parabolas (x - 1)² = 4ay and y² + 4a = 4ax.

A: Here we have to find out the area between the given curve that is we have given two parabolas

Q: 156. Find the area of the region D, bounded by y = √4x², x= √3, which is the region x=2, and y = 0.

A:

Q: u = xz siny + yz cosx + xy tanz

A: