√√√√3²-1 For the integral X What is the re-write of this integral? -dx, let z= x² - 1.

Q: 1 Lim x-0* x 1 sin x

A:

Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x+2y=5.

A: Given Function f f(x,y)=14-x2-y2 on line x+2y=5We need to find the maximum value For the line…

Q: (√t-9) dt

A:

Q: π Determine the slope of the tangent line, then find the equation of the tangent line at t = 4 x = 9…

A: Topic = Derivative

Q: limx→∞ x - 3 x + 1 2

A:

Q: (d) On what interval(s) is f(x) ≤ g(x)? (Enter your answer using interval notation.) (f) On what…

A: To answer the given questions using the given graph.

Q: II. Solve the following problems. Enclose final answer. 1. The Maximum point of y = (x²+2x+10) (x-3)

A:

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: answer is in next step.

Q: 3.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: apply Pythagoras

Q: (√t-9) dt

A:

Q: Find the limit. x² - 25 lim x 5 x²8x + 15

A: We need to find the limit:limx→5x2-25x2-8x+25

Q: Find the equation of the tangent line to the curve y = √-4 at the point (5,1). Oy=-1 Oy=-1 Oy=2x-2

A: Given y=x-4       point (5,1)To find equation of tangent line:

Q: The solution set of 12x +21>4 (-∞, -4) U (1, ∞ ) .A O (-∞, -5) U (1, ∞ ) .B (-∞, -3) U (1, ∞ ) .CO…

A: Topic = Inequality Correct option = C

Q: The scientific notation of the number 0.0023 is 2.3x10-3 صواب خطأ

A: The given number is 0.0023We need to write the scientific notation of the number 0.0023

Q: Calculate y'. y = ln(x ln x)

A: Given: y=lnxlnx

Q: Which of the following statements is an exponential function? A y=14x+2 (B) y=(6x)² Ⓒ y=(2x+5)3…

A:

Q: 3. The Critical Point of y = xe-*

A: Answer :-  We have to find the critical point of y = xe-x

Q: The interval notation for the set (xlx ≤4 or x>-2} is. [-2,4] A O (-2,4] BO R .CO DO [-2,4) EO…

A:

Q: 5. Given the matrices below, find B. A 2 1 2000000 A = 3 4 0000000 B = [5 -3 0]

A:

Q: 3 Find the approximate value of fe-x² d x, by using the Simpson's rule with n = 8. Click here to…

A: As we know from the Simpson's rule: ∫abfxdx=∆x3fx0+4x1+2fx2+4fx3+2fx4+...+4fxn-3+2fxn-2+4fxn-1+fxn…

Q: Sx√x +Tdx

A:

Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A: Radius of the cone is(r) = 3 ft =36 inches Altitude of the cone is (h)= 4ft =48inches ( And let the…

Q: Find the indicated partial derivative(s). f(x, y) = x¹y² - x³y; Find fxxx and faux

A: Given :f(x,y)=x4y2-x3y

Q: ӘТ ӘР V

A:

Q: So 0 Evaluate the integral, if it exists. exc 1+e2x dx

A:

Q: Q.1/a) Solve the following integration by parts integral method fre x³ ex²+1dx 2+1dx

A:

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t)= -…

A: Given query is to find the height when velocity is 100ft/sec.

Q: II. Solve the following problems. Enclose final answer. 9. A gutter with trapezoidal cross section…

A:

Q: A. Determine whether each integral is improper. If it is improper, give your justification. 1² d 4.

A:

Q: The value of f (3), for the following function f (x)=√√2x-20

A:

Q: Q9. The Laplace transform of the function u: [0, ∞o) → R (t−2)² + (t− 2) sin(5(t-2)), u(t): can be…

A:

Q: 5. S Evaluate the integral, if it exists. du √u - 2u² Ա

A:

Q: If x = t² and y = t³, then y O t O o O 3/4t O 3/t O Other: =?

A: In this question, we have given the values of x and y in the form of the variable t and we want to…

Q: The radius of a sphere is increasing at a rate of 4 meters per minute. When the radius is 11 meters,…

A:

Q: Use the guidelines to sketch the graph of the function. f(x)==-₁

A:

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: Using the given data we have: where x is the horizontal length and y is the length of the string.

Q: y = f(x) denote the function defined as x²+x-2, if x < 1; f(x) = 1 X, if 1 ≤ x < 2; √x – 1, if x ≥…

A:

Q: 1. Find the limit. t² 4 8 lim t-2 +3

A:

Q: 7.Find of xy of z = 2x³-5xy²

A: To find ∂2z∂x∂y for the given function z=2x3-5xy2

Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

A:

Q: πρ2. The = The area of a healing wound is given by A radius is decreasing at the rate of 3…

A:

Q: (a) The total surface area of an open cylinder is 27 cm³ given that radius, rcm. i. Show that the…

A: Given that; Total surface area of am open cylinder is 27pi cm^3. Radius r cm.

Q: 12. Find the standard form of the equation of the hyperbola with the given characteristics.…

A: Given problem:- Find the standard form of the equation of the hyperbola with the given…

Q: The region bounded by y = 3x - 9 andy = -3x2 + 18 x - 9 revolved about the y-axis. Find the volume…

A:

Q: 5. S Evaluate the integral, if it exists. du √u - 2u² u

A: We have to find the solutions

Q: Vx(A x B)=(B-V)A-B(V-A)-(A-V)B+ A(V-B)

A: Solution

Q: Evaluate Dy tan(y) + 1 tan(y) - 1

A:

Q: Show all the necessary figures and solutions to each of the following problems. 2. Find the area…

A: The given curves are: y=x3-6x2+8x and y=x2-4x. A rough sketch of the area of the region is:

Q: Solve the following problems. Enclose final answer. 4 4. Given z = x-y, Find az/ax x+y

A:

Q: Find L-1 (5² 7². 2s+3 s²+4s+13

A: To find the inverse laplace.L-12s+3s2+4s+13