The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using horizontal element of area is g(y) dy. What is the value of d? :

Q: 5. If A is (8, -7) and B is (5, 16), find a unit vector in the same direction as AB.

A:

Q: -2, if x < -1 f(x) = (x + 1, if x ≥ −1

A:

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

A:

Q: 4. [ε (8x − 3) (4x² – 3x) * dx

A:

Q: Tutorial Exercise Calculate two iterations of Newton's Method to approximate a zero of the function…

A:

Q: so ne dx

A:

Q: 7. Evaluate the integral

A: answer is in next step.

Q: Is it possible to get the area between y² = 3x and y = x³, using a. vertical strips b. horizontal…

A: Question is solved.

Q: Given the differential equation xy³dx + (x²y² + 1) dy = 0, What is SN ? dx

A:

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A:

Q: Find the derivative of the trigonometric function. y(x) = cos(sqrt(sin(cot(pi*x))))

A:

Q: 5. For items 1-2, identify the substitution equations and solve the solution for each. (x - 2y + 5)…

A:

Q: The figure shows f, f', and f". Determine which is which. 2 y 0 -2 1

A: In this question we have to determine which is f, f' and f''.

Q: For each of the following functions, do t a. Determine if f is continuous at a. Determine if f is…

A:

Q: Find the Jacobian of the transformation z = 4u – 6v, y = u² − 2v

A: The objective of the question is determine the jacobian transformation.

Q: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

A: Given problem:- A rectangle is to be inscribed in an isosceles right triangle in such a way that one…

Q: .. Find the derivative of each of the following functions:- 1. y=(sin ¹x²+ 1+tan x

A:

Q: -: Show that -1+i√3 =1 for all combination of signs.

A:

Q: Given the number or numbers where the function is discontinuous. Is the discontinuity removable?…

A:

Q: Find the nth Maclaurin polynomial for the function. 4x - 5 f(x) n = 4 x + 1 P4(x) = =

A: The function is  f(x)=4x-5x+1

Q: The graph of f(x) is shown. At which of the point(s) is f '(x) 0? E A D B C

A:

Q: Find the slope of the tangent line to the graph of f(x) at the point (1,2). The function is…

A:

Q: Let x³ + yª + 8x + 3y = 7. Computeat (2,1)

A:

Q: Given ; = -5 cos 0 and r₂ = 5+5 cos 0 Sketch and then set up integral for area bounded by the…

A:

Q: 3 S² 2 (3x+1) dx x-1

A:

Q: 옻 sin 8x lim X→0 X K X f(x) -0.1 -0.01 -0.001 0.001 0.01 0.1

A:

Q: Find the coordinates of the vertices of the polygon after the indicated translation to a new…

A:

Q: 5sec 5 sec 5x tan 5x dx

A: Given, ∫5sec 5x sec 5x tan 5x dx

Q: 1. [(5x (5x - 3)100 dx 2. (x - 3)¹/4 dx 5 3. 3. / ( x ² + ² ) ( ²2 2²³ + x) ² da 2) dx

A: 1) Given ∫5x-3100 dx Substitute   u=5x-3                  du=5 dx    ⇒ dx=du5 ∫5x-3100 dx = 15∫u100…

Q: 3 Jess bought a new car for £12 000. In the first year the value of the car depreciates by 20%. In…

A:

Q: 8. a. Using the vectors x = (3, 3, 1) and y = (-−1, 2, -3), verify that the following formula is…

A:

Q: Find an equation of the set of all points equidistant from the points A(-2, 5, 2) and B(4, 3, -2).…

A:

Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and f'(0) = 8,…

A:

Q: 3. Integrate the function below using Algebraic and 4 lines only (solution + answer). substitution S…

A: ∫x11 dx

Q: Problem 2. Find an equation for the tangent line to the curve y = 2x² + x3 at x = 4. You must use…

A:

Q: 4 T sin ³ (73) cas ³ (7) dx

A:

Q: The projected population of a certain ethnic group(in millions) can be approximated by p(t) =…

A:

Q: Find the volume of the solid bounded below by the circular paraboloid z = z² + y² and above by the…

A:

Q: A point P is moving along the curve y = √√x² + 5. When P reaches the point (2, 3), y is increasing…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 101 as follows: Let f(x) = = and…

A: We need to find value using linear approximation.

Q: 5a) 1 x[In (2x)]3 S.₁- -dx 5b) X ² (x² - 4)" S₁²7 3/2 dx

A: As per guidelines, I can answer only one question. Since both the question are not interrelated. So…

Q: ? Question Find the four distinct critical points of h(x, y) = x²y + xy² + x³y² + xy³. * Incorrect.…

A:

Q: given m=6, n=1, and v=(-4,7), what is v(n-m)?

A:

Q: f(x, y, z) = x cos(y - z), find: 02 f дудх 02 f дхдz 3. Given (a) (b) (c) (d) 82 f 0x2 8 f дхдудz

A:

Q: Find the area of the shaded region. f(x) = 10x - 3x²-x³, g(x) = 0 The area is (Type an integer or a…

A: This question can be solved using the concept of  area bounded by two curves.

Q: A Ferris wheel is 15 meters in diameter and boarded from a platform that is 2 meters above the…

A:

Q: Let u= -10i+4j- 4k, v= 5i-2j+2k, w=2j-5k. Which vectors, if any are (a) perpendicular? (b) Parallel?

A:

Q: Differentiate each of the following functions. (1) F(t) = (2t − 3)²

A: Differentiation

Q: Show that the Fourier series of is: 2 ƒ (a) = (1/2 + 1). - Σ n=1,3,5,00 1 1 Hence find the sum of…

A:

Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 24 cm to a length…

A: