Find the sum of the values of f(x) = x³ over the integers 1, 2, 3, ..., 10.

Q: limg-0 2x sinx 4-4cosx

A: We can find the limit as below, using L'Hospital rule.

Q: Find the area between the curve f(x) = x2 +11 and the x-axis from x = 3 to x = 7. The area is square…

A:

Q: Consider the graphic representation of f 1 -3 According to the graph, which option is true? (Existe…

A: limit

Q: Fill in the blanks: 2² + 1 The equation describes an ellipse. The volume of the solid obtained by…

A: We need to find volume.

Q: Find the unit tangent vector T(7) for the line tangent to the space curve r(t) = (12 cost, 12 sint,…

A:

Q: Given the function: f(x) = { // x³-1 x-1 if x #1 k if x = 1 What should be the value of k so that f…

A:

Q: Test the following series for convergence or divergence. State the test you are using and show all…

A: We need to check whether the given series diverges or converges.

Q: Given : y = cot √2x + 1 Find dy dx O csc² √2x + 1 √2x+1 O csc² √2x + 1 2√2x+1

A:

Q: Please provide Handwritten answer of all parts.

A: Please provide Handwritten answer of all parts.

Q: Use the Inverse Function Theorem to find (s−¹)' (6) given that s(x)=√√-8x - 4. Note that s(-5) = 6.…

A:

Q: Find the general solution of the following differential equation. y" - 11y' + 18y = 0 NOTE: Use c₁…

A:

Q: Determine where the function discontinuous. [-(x+2)² +1→x≤-2 f(x)=x+1→-2≤x≤3 [(x-3)² −1→x>3 Using…

A: the given function,  f(x)=-x+22+1,x≤-2x+1,-2≤x≤3x-32-1,x>3

Q: f(3x² cot 2x³ csc 2x³) dx O-csc 2x³ + C CSC O csc 2x³ + C Ocsc 2x³ + C CSC O-csc 2x³ + C

A: We can solve as follows

Q: Cos de 1-Sin e

A: To evaluate: I=∫cos3θ1-sin θdθ=∫cos2θ×cos θ1-sin θdθ=∫(1-sin2θ)cos θ1-sin θdθ=∫(1-sin θ)(1+sin θ)cos…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 12] r 2 X…

A:

Q: On which of the following interval is f(x) S O (0, +∞0) ○ (2, +∞) O [2, +∞0) 0 (-∞, +∞0) 1 x-2…

A: We will the fact that root value should be positive.

Q: Find the derivative of the following function. Factor fully and simplify your answer so no negative…

A:

Q: What is the polar equation of a circle of radius a centered at the origin? Use this equation to…

A:

Q: Using the Inverse Function Theorem, what is (-1) (8) given that (x) = √6x-2? Note that (11)= 8. (Do…

A:

Q: B)Convert r = √2 cos(8-) to cartesian.

A:

Q: B)Solve differential equation dy -(x²+y) = dx x+siny

A: Given that,

Q: ..suspended a mass of 10 kg from a ceiling by two cords that make angles of 30° and 45° to the…

A: This question can be solved using the concept of component form of vectors.

Q: Find the value of E, the margin of error, for c = 0.99, n = 15 and s=5.4. OA. 1.072 OB. 3.659 O C.…

A:

Q: von ² moren notional a from x = 1 to x = 2 8 y = ln x -

A: Given :y=lnx-x28

Q: (5) f(x) = cos (5 - 2x) (7) f(x): = cos (√x³ + 1) (9) f(x) = cot (x5) (6) f(x) = cos (4x7 + 3) (8)…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: B)Solve the differential equation x+4y M

A: Given differential equation is:

Q: Fill in the blanks: x² + The equation describes an ellipse. The volume of the solid obtained by…

A:

Q: Draw a graph to match the description given. f(x) has a positive derivative over (-∞, -1) and…

A: Here, given that the function f(x) has a positive derivative over -∞,-1 & (-1,7) and a negative…

Q: For the function f(x) = 2x2 - 5x a) Find f'(x) from FIRST PRINCIPLES b) Use your result from a) to…

A:

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 1x³/2, 0 ≤…

A:

Q: Given f(x) = 3x+8, (a) Find f(x+h) and simplify. (b) Find f(x+h)-f(x) h Part: 0 / 2 Part 1 of 2 (a)…

A:

Q: Find the domain and range of the following function: f (x)  {(2,3),(3,4),(5,7),(10,3)}

A: Given: f (x) = {(2,3),(3,4),(5,7),(10,3)}

Q: Determine dy/dx given that y = 1+sin x COS C 1 O (1+sin x)² -1 O 1+sin x 1 O 1+sin x -1 O (1+sin x)²

A: The objective of the question is determine the derivative of the given function and choose the…

Q: Find the area of the region enclosed by the graphs of the polar curves given by 8/4, 0 = 0 and r cos…

A:

Q: Find the area between f(x)=x² - 16 and the x-axis from x = 0 to x = 7. The area is square units.…

A:

Q: Using the Inverse Function Theorem, what is (g-¹) (-2) given that g(x) -3x+2 = ? Note that x-8…

A:

Q: Find the first derivative of -5x²+2x-5 210x -5x²+2x-4 ебх о о 5x2-2x+5 P5х 2 x2+1 e5x

A:

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ — 210x² + 3600x - 200,…

A:

Q: A baseball is hit 3 feet above the ground at 80 feet per second and at an angle of 45° with respect…

A:

Q: Solve x + 13| ≤3 the following inequality and graph the solution set. Select the correct choice…

A:

Q: Q1A) The vectors A = 3i + j + 4k, B = 2i - 3j - k, find vector normal to A and In plane of A and, B.

A: Solution is given below:

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A:

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A:

Q: For the function f(x) = (5x² − 2)4 determine the second derivative in factored form.

A:

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: We need to find area.

Q: 1-p p#1 u(c) = In c Show that limp-11-p C¹-p Given this result, is u continuous at p=1 ? p=1 = In c

A: Given that,uc=c1-ρ1-ρρ≠1ln cρ=1

Q: hid. The line y d. The line y = -5/8 -5/8 redbuthents 2 y 0 X = ochiul 14 4 X = - y² 2 1 y² dibel 2…

A:

Q: 1. The radioactive isotope hydrogen-3 has a half-life of 12.3 years. a. If a sample of 80 mg of…

A:

Q: 1fd³y ydx 'y da (21)

A:

Q: 31 Matrix A =[42],find Eigen values of A².

A: