valuate (3x + 2)In(x) dx

Q: BE-8- 1 (a) [. . | Determine if the vectors 0 and 1 span R° 3 (b;. | Can these three vectors form a…

A: (a)Her,e the matrix generated by the vectors is: 1000512-23

Q: For | cos 3x cos 4x dx :

A:

Q: Express the following sums using sigma notation. a. 7 + 8 + 9 + 10 + 11 b. 8 + 16 + 24 + 32 + 40 +…

A:

Q: Evaluate thne integrat -6 to -10. A. 21/2 B. 1/2 C. In 3

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Find all solutions to the equation. 2 sinx- cosx=1 Write your answer in radians in terms of t, and…

A: Given: 2sin2x-cosx=1   As we know that; The general solution of the trigonometric equation cosx=cosα…

Q: Evaluate:* (s-20 Is²-9. :L-1

A: Given; (s-20) /(s2-9).

Q: Given the following vector field and oriented curve C, evaluate F•T ds. F= (-6y,6x) on the…

A:

Q: Use the Alternating Series Test to determine whether the alte S(-1)k+1_ k 7k + 8 00 k k = 1 Identify…

A:

Q: 3. 4x 3 + dx

A:

Q: Find the equation of the tangent and the equation of the normal to the curve y = + at the point…

A: Our Aim is to find the equation of the tangent and the equation of the normalto the curve y=x+1x…

Q: s-3 F(s) = The inverse Laplace Transform of is O f(1) = sin 3t –3 cos 3t O f() = 3 sin 3t-3 cos 3t…

A:

Q: dy Do not simplify your answers. dx IV. Find Vsec-1r sin æ 1. y = (use logarithmic differentiation)…

A:

Q: [cos 3x cos 4x dx

A:

Q: If the derivative dx (instead of .) exists at a point and dx = 0, then the tangent line at that…

A:

Q: Question 2 [ a) [ :Explain why the following series (-1)" 1 + n5/2 n= is Alternating. b) !n. J: Use…

A:

Q: Evaluate the followina intearals. Show all the necessary or complete solutions. 1 3. - x² dx

A: Given :∫01x41-x2dx

Q: Seco-Cose Lim Cos h h2 h -2

A:

Q: The differential equation (cos(x) sin(x) - xy²) dx + (y - x²y) dy = 0 can be solved by: B. exact…

A: Explained below

Q: S (3x – 2)° dx

A: To FInd : ∫3x-22dx

Q: Given f(x) =x²- 1, find the value f(x+h) - f(x). 2x + h - 2 2х + h

A:

Q: log, (cot-x) 3. lim 1- cosh(2") X -00

A: limit.

Q: Find all solutions to the equation. 2 sinx- cosx=1 Write your answer in radians in terms of t, and…

A:

Q: Find the vertical asymptote(s) of the graph of the function. -2 3. (0) -+3)

A: Find vertical asymptotes

Q: Q2: Find a root of x – 0.5 – 2-2x = 0 by using Newton-Raphson method correct to 4 decimals so that…

A: We have to find the root of given function by Newton Raphson method.

Q: (b) / (4 – t)Vt dt

A: Given integral is definite integral, because here limits are given. In this integral upper limit is…

Q: Suppose a curve is defined by the equation 16(?2+?2)=45.16(x2+y2)=45. Show that if you translate the…

A:

Q: Evaluate the indefinite integral solve for two cases csc² 20 cot 20 de

A:

Q: If D is the triangle with vertices (0,0), (55,0), (55,49), then dA=

A: double integration

Q: Find the slope of the tangent line to the curve la? + 4xy – ly = 11 at the point (2, 1).

A:

Q: Evaluate: L-1 [2s-9) ls²+2)

A:

Q: for In (x + x) dx

A: A detailed solution is given below.

Q: for the function below f(x, y) = 5xy – 7x² – y² + 3x – 6y + 2 Partial Derivative for y = %3D 5x- 7у…

A:

Q: Find the divergence of the following vector field. F= (3xyz, - 2xy z, - 4xyz?) %3D The divergence of…

A:

Q: Find the solution of the following Differential Equations 5) y"-ky' = 0, y(0) = 2, y'(0) = k .

A: We have to find the solution of given differential equation.

Q: Vr2 – 2x – 3x (x² 4. lim 4x + 5 (72 25) ten2(r1 2)

A: first we will take x common from numerator and denominator, then take limit.

Q: Question 3 - a) ji following series : Determine whether the (-1)"4"-1 32n+1n n=1 is convergent or…

A:

Q: 2- Suppose that vector v has initial point (-4,5) and terminal point (-1,12). a- Find the component…

A: a)A position vector v→ is defined as a line extending from the initial point (x1,y1) to the final…

Q: So 0 cos r0 do

A:

Q: A hot air balloon rising vertically is tracked by an observer located 5 km from the lift-off point.…

A: Given: x=5 km θ=π5 raddθdt=0.3 rad/min The person and the hot air balloon form a right triangle,…

Q: Q/ For the function shown bellow; find dyldx using Chain rule 4 2x + 4)ª ||

A: The function is given by y = 2x+44 To evaluate: The derivative of the function using Chain Rule of…

Q: 1- sin r 6. Find lim 1/2 CSC x Csc x

A:

Q: 2) Find the volume of the solid under the plane z = 3x +y and above the region determined by y = x'…

A:

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

A:

Q: Consider the function f(x) = : x2. (a) Find the intercepts of the graph of f (if any). (b) Find the…

A:

Q: Determine the Laplace transforms of * 3, 7 12

A: Determine the Laplace transforms

Q: sinh(4x) dx 3x Evaluate

A:

Q: x-4 Evaluate the limits lim: 00 -4 1

A:

Q: 1. Obtain the general solution unless otherwise instructed -24 5. у" + 4y" +9у'+ 10у when x = y = 0,…

A:

Q: 12. S cosh(5x – 7) dx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Obtain the general solution unless otherwise instructed 1. arž -y = 10sin²x dx² SUMMARY OF ANSWERS…

A: