sin (+) can be expanded to: π TT O sin COS sin sin 4 7 TT O sin sin COS cos 4 T Osin COS + cos sin मम COS + cos cos 4 K/4 T π π

Q: In evaluating 5 3 Add your answer dx is same as evaluating lim (In(f(x))). Determine the value of…

A:

Q: -x/3 Jx/4 cscxcotxdx

A: topic- definite integral

Q: Evaluate (²6² 0 Oa. 16 946 O b. 16 936 O c. 8 945 O d. None of the choices. O e. 16 945 1 1-y - xy…

A:

Q: -21 1 (1 + 3x)2 dx

A:

Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 7x and dx…

A:

Q: The height and radius, respectively, of a cylindrical tank is 5 m and 2 m. If the tank is full of…

A: Given that: Height = 5 m Radius = 2 m We take a slice of height △x at a height x So the volume of…

Q: Let R be the region bounded by the functions f(x) = -4x² - x and g(x) = -5x as shown in the diagram…

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

Q: B-Find the center of mass of the region bounded above by the half circle y = √ Na²-x² and below by…

A:

Q: Fin the AREA enclosed by the given curve: r=acos(3θ)

A:

Q: Question 13 :  A street light is at the top of a 11 ft tall pole. A woman 6 ft tall walks away from…

A:

Q: Find the derivative of the function at Po in the direction of u. x-y g(x,y)= xy+2 Po(1,-1), u=12i+5j…

A: Given :g(x,y)=x-yxy+2u=12i+5j

Q: L²x√x-2dx

A:

Q: 4. Consider the solid formed by the boundaries outside the elliptic paraboloid x² + y² = z and…

A: Given

Q: HA-[-2]. If = O A-¹ O A-¹ = O A-¹ = O A-¹, 24 = find A-¹. 3 = 6 -4] [4-2] 6 -5]

A:

Q: D. Graph each of the given functions and solve for the area of the region that they enclose. 2. 4.…

A: Given

Q: (1) / 25 5 + 7x dx √x T/3 1+(cos0)² de (cos 0)² √3/³ 1 + (3) √x-4\dx

A:

Q: d) S tanrd. cos³x

A:

Q: SHE 1+ (In x)' = dx = (sec x) = f sin x dx = [cos.x dx = (arctan x)': = [f(x) g(x)] = ==dx =

A:

Q: Answer and give the complete solution. The lower edge of a mural, 12 ft high, is 6 ft above an…

A:

Q: Find the following improper integrals a) dr b) fodr

A:

Q: 1.30 Find the value of the integral ₁00 √x dx by using simpson method (n = 6)? 1.00

A:

Q: 10. Prove the identity: 2 + cot² (x) _ 1 = sin² x - csc² (x)

A:

Q: Which of the formulas below will give the area of the region enclosed by the polar equation r = 4…

A:

Q: 1. Consider a point in Cartesian coordinates given by (3√3, -3, -8). (a) Find a corresponding…

A: Given that Cartesian coordinates (x,y,z)=(3sqrt(3),-3,-8).

Q: (a) Find the vertex and axis of symmetry of the quadratic functi or concave down. (c) Graph the…

A: we have to vertex and axis of symmetry

Q: 13-f(t)=t-cost;

A:

Q: 12-f(t)= -31 e-³¹ sin 2t t

A:

Q: Discuss the relationship between the number of solutions of the following system and the constant k.…

A:

Q: If v= = (x² + y² +2²), then 925 + 02 +223 is 1 -1 -1/2 O Other:

A:

Q: Verify that 2²4 ахду 22+ ду ах - for f(x, y) = 2x³y6 - 4x5y4.

A:

Q: Where is f(a) not continuous? JAROMEN M 0 :-2 SE 4 O 0 02 O nowhere O-2 and 2 O-2 0 2

A: here in graph we see that function is not contineous at 2 and -2 value there is not contineous graph…

Q: 3) x² + y² + 16x+10y+80= 0

A: Given

Q: Sx² + 4 ; x<2 Question (4): Using the definition, determine whether the function f(x) = (3x + 2 = ;…

A: here we have to check from left hand side of x = 2  and right hand side of x = 2 it means lim…

Q: Given F(x) below, find F'(x). -1.0 - F(x)= -dt 1+8

A: answer is in next step.

Q: Please show work! The area of a rectangle is fixed at 60 square meters. The base is increasing at a…

A:

Q: * (ارفق الاجابة) The eigen value of matrix 1 -1 O 1+i, 1-i O 1+i, 1+i O 1,-1 11 1-i, 1-i

A:

Q: Consider the differential equation y' = y 2 - 4y + 3. Which of the following could be a graph of…

A:

Q: Evaluate S dx √x² +25

A:

Q: Q1/ From the following table of values, find the approximate value of f '(1.5)? X 1.0 1.5 2.0 3.0…

A:

Q: (Inverse Trigo, Higher Order Derivati Directions: Find the derivative of the following fu 1. f(x) =…

A:

Q: 3x² dx

A:

Q: (b) En=1 m

A:

Q: 2. Find an equation for the plane that passes through the points P=(2,-1,3), Q = (0,0,5) and…

A:

Q: 3) Evaluate for ln(x + 1)dx x

A:

Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: Given problem:- A manufacturer is planning to sell a total of 500 machines to both foreign and…

Q: ¹ (²³) 4- If f(r) = cot-1 + tan-¹ prove that f'(r) = r²+4

A:

Q: 3. An architect is asked to design a game room in the shape of an isosceles trapezoid, where the non…

A: I am attaching image so that you understand each and every step.

Q: Find the limits analytically. Show all work and use proper limit notation. √x² +8-3 1. lim X-1 x+1

A:

Q: (b)show that: I(cosh at cos at) = s*+4a"

A:

Q: b. Solve the following initial value problem for y as a function of x for differential equation x-2…

A: The objective is to solve the differential equation.