2. Find the area of the region bounded by x = y² - 4 and x = 3y.

Q: Find the maturity value of a loan of $49,583 after 18 months. The loan carries a simple interest…

A: To find the maturity value in the given case.

Q: 2 1 x^²({( ²² - ² - ) } L 3 S S

A: Given that,      L-12s-1s32

Q: 10. 2 w² + 4w W 1 dw

A: Given problem:-

Q: Evaluate the following determinant by using row-operations. Carefully -1 3 4 -10 -4 A -> -4 -8 9 6…

A: To find the determinant of the given matrix A.

Q: x = y² - 2y and x = 4y - y²

A: The given curves are; x=y2-2y and x=4y-y2 Now find the point of intersection between the given…

Q: If Arnold earns a salary of $18,564 a year and is paid biweekly, how much is his gross pay per…

A: Here is the solution

Q: 13. Solve for x. log₂ (2x + 3) = 2 log₂ (x)

A:

Q: JC LUDJE SH 31 Exercises 4.4 Use Laplace transforms to solve the given different d²y dy 1. 3- + dx²…

A: Topic:- application of integration

Q: B. In the diagram below, not drawn to scale, A, B, C and D are points on the circumference of a…

A:

Q: 1. Evaluate the given integral Q. /9-22 Q= - 1²³ 1²/³3 (№²=³² 0 0 0 Your answer (y - x) dx dy dz

A:

Q: 5) The number of 3 - digit numbers with repeats, that are multiples of 5 and less than 600 that can…

A: Permutation is used

Q: 29. Verify that the piecewise-defined function 1-x², x<0 x ≥ 0 is a solution of the differential…

A:

Q: Printegrating Factors (x² - Sin²y) dx + x sin zydy = o

A:

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A: Topic:- calculus

Q: What is this character after the 16???

A: The number is  168.  The character after 16 is 8.

Q: Find the area of the region bounded by the parabola y² = 2x2 and the line y = x - 5. 16 17 18 19…

A: Given: y2=2x-2 and y=x-5 Now find the point of intersection between the given curves. y2=2x-2 ;…

Q: Given: c= 8, a = 5, C = 67°

A:

Q: Use the second fundamental theorem of calculus to evaluate the following: 1 1 + 1 + sin 0 5) de 1 -…

A: Value of definite integration is given.

Q: Convert the Cartesian equation x² + y² + 3x = 0 to a polar equation. r² = = -3 cos 0 r= 3 cose r= -3…

A: Given x2+y2+3x=0To find polar equation:

Q: Identify the vertex of the parabola: y = -4(x - 2) 2 - 3. (2, 3) (-2, -3) (-2, 3) (2, -3)

A:

Q: 8 kg/m, where x is measured in meters from one end of the rod. √x+1 The linear density p in a rod 3…

A:

Q: Z A Consider the tetrahedron ABCD with vertex A at the origin as shown: (a) Find the equation of the…

A: Given that: A=0, 0, 0; B=0, 0, 3; C=0, 4, 0; D=6, 0, 0 We have to find:  a) An equation of a line…

Q: / which of the Following series converge and which diverge? Givereasons for your Answer Σ sechn n=1

A:

Q: Evaluate the integral 2 ક્ષ ;-) Sa Say e dxdy

A:

Q: Let y = tan(5x + 2). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when…

A:

Q: III. The Auxiliary Equation 1. (4D³-23D³-33D²-17D-3)y=0

A:

Q: 4. For the below ordinary differential equation, state the order and determine if the equation is…

A:

Q: -mperature of a northern city from 6 a.m. to 6 p.r 2.3 (in degrees Celsius) and x is the number of…

A: We have to choose the correct option from the given options according to the given information

Q: If 0 = 0 and R = 7√2, then F₂ = 2

A:

Q: {(† - ₹)}₁_^

A:

Q: P1: Calculate the area bounded by the curves: C. y = e²x and x - 2y + 5 = 0..

A:

Q: = 1. Verify that y(x) = - +12e¹** is a solution of the ordinary differential equation y' = 14y + 1.…

A:

Q: 45. I= (A) 2 (C) 3 +c, then f '(1) is equal to - 14 2 2-x ปี = √/²=Xx dx = ²√ √/²² (x) + c (B) 1…

A:

Q: Q4: Let y = √r and t = x² then y(") = 0 if n=

A:

Q: udv = uv J to Explain why the substitutions below are inappropriate. Let u = e 1. Suppose we apply…

A: Here, to evaluate: ∫xexdx using integration by parts.

Q: (9x-4y+4)dx-(2x-y+1)dy=0

A:

Q: Test the series for convergence O a. the series diverges O b. the series converges ∞ 3k k-1!

A: We need to evaluate the convergence of the series :

Q: √₁ 5. X x² 2 ²+x-6dx

A: Given:        ∫x2x2+x-6dx For the integrand x2x2+x-6, take partial fraction      =∫-95x+3+45x-2+1dx…

Q: Locate and classify the critical points of y=x²-4x-1

A: The given equation is  y=x2-4x-1.

Q: L-1 4s - 10 2 S s² + 25

A:

Q: dx (4+x²)² √

A: Explained below

Q: A tank contains 400 liters of fresh water. Brine containing 0.3 kg/L of salt runs into the tank at…

A: We need to find concentration.

Q: cteria. If the bacteria grows continuously, how many will there be at 7:30 pm?

A:

Q: Write the equation of a circle with a center at (2, -3) and a radius of 4. ( x - 2) 2 + ( y + 3) 2…

A: To write the equation of a circle with a center at (2, -3) and a radius of 4.

Q: For the function f(x) 2x2, find the difference quotient 4a + 2h h 4 a²+ h 4 a + 2 h f(a+h) h f(a)

A:

Q: 2. Evaluate x sin xdr using integration by parts.

A:

Q: Use multiple application of simpson's 1/3 rule to numerically in- tegrate: f(x) = 8 + 5 sin (x) 0 to…

A: We need to use Simpson's one third rule.

Q: Solve the initial value differential equation with initial values y(0)=2 and y'(0)=6 y" - 3y + 2y =…

A:

Q: Find the trigonometric Faurier Series of the function defined by; flx) = x + # if = < X <... -T..

A:

Q: Find the solution by using Solution of 2nd order D-Es 2 X ý XỨ ty - xy + y = Lnx -

A: