J (u-2) (u+3) du

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

A:

Q: 8.) y' = x-y+5 x+y-l

A: To solve the differential equation.

Q: 8. 3. √1 - 9t² dt

A:

Q: Numerical Integration: 2 1 1. 2. =dx X 5 (2x² – 3x) dx 0 2

A:

Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. Then Area region = [ f(x) dx + √ f(x) dx +…

A:

Q: A light shines from the top of a pole 15 m high. A ball is dropped from the same height from a point…

A: solution is here

Q: Using the graph of f(a), what is the lim, f(s)? 2 00 O -1.5 8 "00

A:

Q: HW.1 X y 58 Find y. (10) for the following data in the below table. 6 9 14 17 10

A: We will use Lagrange's Interpolating polynomial to find y10.

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)= -2 ex cos (yz),…

A:

Q: 10. y (e-3x+4 +2)/(e2+3x +1)

A: The given function is ; y=(e-3x+4+2)/(e2+3x+1).

Q: d) S tanrd. cos³x

A:

Q: Consider the spherical equation given by p = 4 cos sin p. Determine its corre- sponding equation in…

A: Given

Q: Consider the differential equation y" = e² + zy' where y is considered to be a function of a. In…

A: We have to find if given y is solution to the differential equation or not.

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [*^f(x) dx + [²8(x) x +…

A:

Q: If the function u = 2e^u e^2u 1/2 Other: In (2² +2²¹²) then ro + you is 4

A: First we calculate partial derivative.

Q: Test the convergence of the following series. (a) Σ*, 1 (b) Σπ=1 2 (c) Σπι (d) Σ*-11+n=

A: We have to check convergency of given series

Q: sin (x) dx (2+3 cus(x))² 3(2+3 cos(x)) с

A:

Q: After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the…

A: answer is in next step

Q: A B B + A Bx + + I A Т Identify the form of the partial fraction decomposition of the rational…

A:

Q: The graph of r = -2+3 cos is symmetric with respect to the O x-axis and origin origin only

A: given r=-2+3cos∅   it is the equation of limacon.

Q: 4.Determine the area bounded above by y: 5 + x² and below by y = 1 + 2x²

A:

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

A:

Q: =1 Let R be the region bounded by the functions f(x) = -x² - 4x and g(x) = as shown in the diagram…

A:

Q: Sketch the region enclosed by the following curve and find its area. x=y¹, y = √2-x, y=0

A:

Q: Find lim (11) O limit does not exist Oe¹-2 Oe¹-4 O2 Other 1/2

A:

Q: Solve the following deferential equations b) -2√x √x

A:

Q: f(x) = 4x² 8x +3 - x²+x-12

A: The given function is f(x)=4x2-8x+3x2+x-12

Q: Find the solution of y" − 8y' + 16y = 0, y(0) = 1 and y'(0) = 5. y(t) = Ae4t + Be-4t y(t) = e4t+te4t…

A: The given equation is;  y''-8y'+16y=0, y(0)=1 and y'(0)=5.

Q: 24 24 The two-dimensional Laplace equation + = 0 describes the potentials and steady-state…

A: Given :f(x,y)=e7y sin(-7x)

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

A: Given

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: For a cyclic group of order 420, the number of generators are, (a) 66 (b) 76 (c) 86 (d) 96

A:

Q: Answer and give a complete solution. A ladder 25 ft long stands against a wall. The lower end is…

A:

Q: 3. Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

A: given isr=2-3cosθ

Q: d^2B(u)/du^2 ,but where B(u)= 1/(1+u)^7

A: Given B(u)=1(1+u)7To find d2[Bu]du2:

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

A: Given, (x,y,z)= (3√3,-3,-8)

Q: y = e ²₁ y = 1, x = 2; about y = 2

A: the solve volume

Q: Find the volume of the parallelepiped determined by the vectors (0, 4, 5), (2, 0, 5), and (-1, 3,…

A: Volume of parallepiped is (a X b).c

Q: II. Let F(x)= ecosh z √x+1 1. Find F(0). 2. Find F'(x). sin(1-t) dt.

A: Let Fx=∫x+1cosh x sin1-t dt.1 To find F0.2 To find F'x.

Q: f(x)=x The domain is (Type your answer in interval notation.)

A: Given query is to find the domain of the function.

Q: The force on the triangular plate that is submerged in water as shown below waters surface 6m 4m is…

A:

Q: Draw a graph to match the description given. f(x) is increasing over (-∞o,-5) and decreasing over…

A:

Q: 5. y² = У X x-1

A: Solution is here

Q: x²+4x x-4 x²+3x-12 Evaluate the limit: lim

A:

Q: 3. Use appropriate differentiation techniques to determine the first derivatives of the following…

A: see below the answer and calculation

Q: Determine the area of the region bounded by 3x - 5y + 4 = 0 and y-axis from y = 2 to y = 5.

A:

Q: Solutikn is not clear, can it be handwritten please. Thank you.

A:

Q: Verify that 2+ ?х ду 2+ дудх : for f(x, y) = 2x³y6 – 4x5y4.

A: Partial differential.

Q: 2. The value of the integral in terms of u is? 2u³-21n|u³+1| + C 2u³-3u² +6u-6ln|u + 1| + C 6u+…

A: We know that integration of xn is xn+1/n+1.     Here i attached the solution of this question.

Q: Determine the value of k for which Assume that k is a positive number. k k 1/² 2/² | = 4 2k = 0

A: Given determinant of the 2 by 2 matrix is 0