Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s). U = sin(2 x) dx 9 + cos(2 x) + C

Q: Question 3 (1 point) Suppose a, 3, and 7 are vectors such that = (3, 1, -5) and 7xa= (7, -7, 1). , b...

A: Find your answer below 

Q: 13- Find the volume V of tetrahedron bounded by the coordinates planes and the plane z = 6 - 2x + 3y

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Find the interval of convergence of Σ (х - 6) In (5n) n=2 (Use symbolic notation and fractions where...

A: Interval of convergence is given below.

Q: Suppose an object in circular orbit stops in a position where cos(0) The terminal point is located i...

A:

Q: M, - N If Q, where Q is a function of x only, then the differential %3D equation M+ Ny = 0 has an in...

A:

Q: Given the graph below, evaluate the following limits: y = b Retrieved from:basiccalc_initial_release...

A:

Q: Q2) A) Find the quantities for the following 6.р 12+3x 4

A:

Q: Create an LOWER TRIANGULAR MATRIX using ROW operations. Show each step and the formulas used. Then, ...

A:   Given matrix  H:  1 6 5 8 8 -4 -4 -3 -5 3 -1 -2 5 -9 -5 7 -3 1 6 1 6 3 -7 -7 6

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A:

Q: A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest p...

A: This question can be solved by the concept of maxima and minima.

Q: 7. If y 6e5, then y' = 30e*. The derivative of a product will never be equal to the product of deriv...

A:

Q: 9. Find dy/dx by implicit differentiation of y? = In(x), at (e36,6).

A:

Q: Find the interval of convergence for the given power series. Use interval notation, with exact value...

A: Solution: Use the Ratio Test to compute the convergence interval Compute LL=limn→∞x-2n+1n+1-3n+1n-2n...

Q: 3x2 + 9x + 6 Given the function f(x) = identify the x2 +x - 2 following. a) y-intercept: (0,_) b) x-...

A:

Q: Find y' and simplify: y = cot(tan x³) - %3D -3x²sec? x 13 y' = 1+tan?x3 %3D X. 3x2sec? x3 y' = 1+tan...

A:

Q: d²y dx2 + 4 + 5y = 2e-2", y(0) = 1, y' (0) = -2 dx

A:

Q: Need help with completing two derivatives: For y = tx^2 + t^5 x I need to find dy/dx and dy/dt wit...

A:

Q: How

A: We will use Lagranges Multipliers. 

Q: What is y if y= x when x 2? Oa.-1/4 Ob.3/8 Oc 1/4 Od.-3/8

A: According to question,Given function,y = x-2 

Q: QUESTION 10 How fast is the area of a circle changing when the radius is 10 cm. if the radius is cha...

A:

Q: Question3: Solve the following LPP graphically and state which type solution of solution problem wil...

A: a) The graphical plot of the constraints is shown below : We observe that there is no overlap of th...

Q: (d) Find the solution y = ¢(t) of the given problem and evaluate $(t) at t = 0.1,0.2, 0.3 and 0.4. y...

A:

Q: Find all the values of x such that the given series would converge. (2a)" n7 n=1 The series is conve...

A: The given series is: ∑n=1∞(2x)nn7...(1) Let, an=(2x)nn7; n≥1

Q: 2x² + 3 dx J x(x – 1)2 x(х —

A:

Q: QUESTION 10 9dz 9dz The infinity in the can be eliminated by lim 2 (1-3z)4 t o2 (1-3z)4 O True O Fal...

A: The given integral is I=∫2∞9 dz(1-3z)4...(1)

Q: Let V represent the volume of a cone with radius r cm and height h cm. Write an equation for V (in c...

A: Since you asked multiple questions, we will solve the first question for you. If you need any specif...

Q: QUESTION 4 Find the equation of the tangent line to the curve at (1, 4). y = x' + O a. x = 1 O b.y =...

A:

Q: The graph of an exponential function is shown in the figure below. The horizontal asymptote is shown...

A:

Q: applying lim 6-ydy can be eliminated by The infinity in the V6-ydy t-- 80 O True O False

A:

Q: a) Let 3x2-1, for x3 f(x)= be a piecewise function. Eevaluate | Fx)dx= b) Let f(x) = 3x-1, for x< 3

A:

Q: Consider the linear function defined by: f(x) = -3x + 2 (a) Calculate: f(-1), f(5) (b) Determine the...

A: Note: As per company guidelines we are supposed to solve only 1 question or 3 subparts. So, kindly r...

Q: 4. Find by implicit differentiation of x sin(y) = y cos (x) dx

A: The given problem is solved below in detail.

Q: Solve using fragmentation of fractions 1 dX x(х — 1)?

A:

Q: Use Euler's method with step size 0.2 to compute the approximate y-values y(0.2) and y(0.4), of the ...

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)...

A: Given that fx=x+5cosx    x∈0,2πTo find : point of inflectionSolution:if find point of inflection the...

Q: y'=(x^2+y^2)/xy solve using homogeneous equation (diff eq)

A:

Q: substitution

A: We have to find value of the given definite integral according to the given information

Q: Find the value of b for which the differential equation (yety +x) dr + (bret) dy = 0 is exact, then ...

A: Given :ye4xy+xdx+bxe4xydy=0

Q: Find Zx if z = In. In y 1 – In y Z x Zx = 1/x In y

A:

Q: For the given cost function C(x) = 57600 + 800x + x² find: a) The cost at the production level 1250 ...

A:

Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) = n = 4, c = 2 Pa(x) =

A:

Q: Q1:B/ Use l'Hôpital's rule to find the limits lim x-1 In x, x-1

A:

Q: Evaluate the integral using integration by parts. 5x dx 5x dx =

A:

Q: of e dydx

A:

Q: (x – 3)" Σ For what value of x does the series converge? n=0

A:

Q: a) Estimate the area under the graph of f(x)=2x+1 from x= 1 to x=2 using four approximating rectangl...

A: Given problems:- a).  Estimate the area  under the graph f(x) =2x+1 from x=1 to x=2 using four appro...

Q: dx 2x x2

A:

Q: Differentiate. (а) у 3 За? sin z

A:

Q: Q2:B/ Find dy/dx f Via - "sin Vi dt y = + cos t dt

A:

Q: Moving to another question will save this response. sestion 2 A curve has an equation of y = x³ - 6x...

A: Guven equation of curve y= x3-6x2+9x+2 At point of inflection double derivative y"=0