Make the indicated u-substitution, and then use the Table of Integrals to evaluate the integral. e6x dx, u = (4 – 3e3=)? NOTE: Enter the exact answer. +C (4 – 3ese 2dr

Q: (2) V+ Vx? + Va 4x2+2yx2-Vx+1 4x2+2x2+Vx-1 (a) (b) 4x2+2/x²+vx+1 4xZ–2,x²+vx+1 (c) (d) O b O d a

A:

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 15 + =sin(8nt),...

A:

Q: Suppose that 8 J of work is needed to stretch a spring from its natural length of 40 cm to a length ...

A:

Q: 5. Assume that R and S are Equivalence Relations on a set A. Determine whether RUS is Reflexive, Sym...

A: RUS is symmetric and reflexive but not transitive. 

Q: (a) The total reserves of a non-renewable resource are 400 million tons. Annual consumption, current...

A: Given: The total reserves of non-renewable sources are 400 million tons. Annual consumption, current...

Q: cos? r dr ? 1+2? The improper integral since, cos z A. 1+z2 1 for z>1 and / 1 dz 1 +1 r2 + 4 cos z c...

A: The objective is to find the correct option.

Q: Consider the region formed by the curves y = 2x² – x +1 and y = x² + x + 4. a. Compute for the end p...

A: Let's find. 

Q: If f is continuous over the interval [a,b] and F (x) is any antiderivative of f(x) then f(x)dx = F(b...

A:

Q: Given f(x,y) = 4x sin(5xy). Find fy(4,5). Give you answer correct to two decimal places. Answer:

A: The objective is to find the above partial derivative at the point (4, 5).

Q: Find the integral of (1 2x) e^ (-x) dx from x-0 to x=. с. 2 А. 3 в. 4 D. 1 O B

A: ∫ uv dx = u ∫ v dx - ∫ (u' ∫ v dx) dx. ∫ (1+2x)e-xdx = -(1+2x)e-x + ∫2e-xdx ∫ (1+2x)e-xdx = -(1+2x)...

Q: I, Use Stoke's theorem to evalueate S.Fidr, where F Cau2)= - it +x3 + 2î aind C is the Ceurve of int...

A:

Q: 5 k3 d. + 2225 k k=1 k=1 п е. + 2n \n k=1 3.

A: We have to find summation of given series. 

Q: Determine whether S is a basis for the indicated vector space. S = {(0, 0, 0), (2, 4, 6), (6, 3, 2)}...

A: This is a problem related to vector. If the determinant of the given vector space is zero then it ca...

Q: Integrate: sin²x dx x2 A. в. 4 A D D.

A:

Q: Find the equation of the tangent line to the graph of y(z): Equation of the tangent line is y (1-4(3...

A:

Q: the other a calculator approximation rounded to two decimal places. (a) log6(x) = -2 X = (b) In(x) =...

A:

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use Cc for the constant o...

A:

Q: 37, b = 55 , c = 43, measured in ya %3D %3D

A: a=37b=55c=43 Perimeter , s =a+b+c2  s=37+55+432 =1352s= 67.5

Q: 1. Determine el área encerrada por la elipse + = 1 y? 25 2. Determine el área de la región bajo la c...

A:

Q: Problem Solving 1. Determine f(x) given that f'(x) = t* – t3 + t² +t – 1

A: Taking integrate on both side. 

Q: 1. In the figure shown, a vertical triangular gate submerged in a certain liquid with s.g. = 0,85. I...

A: We have to find 'd'. 

Q: 2x +1 ds J x2 - 7x + 12 A. -7ln/x- 3|+ 9ln|x - 4| +C C. -7ln|x +3| – 9ln|x+ 4| +C 3. 7In|x + 3| + 9l...

A: Explanation of the answer is as follows

Q: Evaluate the exact value of the multiple integral. 2 In 2z c2y e*dx dy dz 2 Jinz -y

A: This question is related to definite integration, we will solve it solve it using given information....

Q: Figure 1: Continuous and differentiable Figure 2: Continuous but not differentiable Figure 3: Differ...

A:

Q: dy 1. Use logarithmic differentiation to find given that dx sec-1(Vx) 4sech(5x)(log6 x)* y =

A: Given problem:-

Q: Compute the volume bounded by y=x2-2x and 3y + 2x?-27 = O when it ís revolved around the y-azis. A. ...

A: Note: According to our expert guidelines only first individual question is to be answered.kindly rep...

Q: Calculate the error of approximation with EA for the following functions TC f(x = 4 cos 5x when x = ...

A: We know: lim∆x→0∆y∆x = dydx                                                                         ...

Q: Use Cramer's rule to solve the system. 3x- y-5z 14 3x-5y-2z 2 3x - 5y = -6 ... Write the fractions u...

A:

Q: ; Use Gausss D.T. to evalu arte where F=4 xi -zy'i+zk auds is the sarfece bounding the regioh x?+y=4...

A:

Q: If f(x) is continuous over an interval [a,b], and the function F(x) is defined by F(x) = f(t) dt, th...

A:

Q: 2. -dx xpS

A:

Q: Given a function f(x,y,z) = (x+4) ln (9y - 2) sin (2z). Find the domain of the function.

A: Let's find. 

Q: f + y*)dx dy Evaluate A. 35/2 B. 19/2 с. 37/2 D. 17/2 A O c C

A: To evaluate the given iterated integral.  

Q: (a) Find the general solution of the differential equation dy 2xy dx x² +1 3 (b) Find the particular...

A:

Q: Find F' (x) if F(x) = L Vt² + 1dt.

A:

Q: 1. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to th...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: dx Evaluate: J sin x A. 3tan'x ++C C. tan'x +C tanx tan x + C tan 2x D. в. 3tan'x tanx 2tan2x

A:

Q: Coefficients Linear in the Two variables: Solve the equation (x + 2y – 4) dx - (2x + y - 5) dy = 0 O...

A:

Q: Find the volume of the solid of revolution obtained by revolving the region bounded by y = x - X*2 a...

A:

Q: Use the given information to determine the values of the remaining five trigonometric functions. (As...

A: Solution ) sin A = 3/5 We know sin2 θ + cos2θ = 1 1)cos θ = √( 1 - sin2θ) cos θ = √( 1 - ( 3/5)2) co...

Q: The daily cost C (in dollars) for a manufacturer to produce a electronic video components is given b...

A: Daily cost for a manufacturer to produce x electronic video components is given by: Cx=1000ln2x2-800...

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = ...

A: Let V = a•u =(a,a) Then, put |v|=6 and find value of a.

Q: Suppose that f ƒ (x) dx = 5. Find f(u) du dz а. f(t) dt d. [-f(x)] dx с.

A:

Q: B. Find the slope of the curve at the given point. 1. y = 4 – 3x2 at (-1, 1) 2. y = x2 – 5 at (1, -4...

A:

Q: Use Disk Method or Washer Method (for all parts) to set up an integral (without the absolute values)...

A:

Q: answer?

A:

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of ...

A:

Q: Use your knowledge on Higher-order derivative and Chain Rule to show that z" + 4z' + 8z = 0 if z = e...

A: Show that, z''+4z'+8z=0 if z=e-2xsin2x+cos2x Formulas used: ddxsinx=cosxddxcosx=-sinxddxenx=nenxProd...

Q: xdx Evaluate Vx4-16 Vx2+16 Vx2–16 A. + C с. + C 4 Vx²–16 (In In в. + C D. + C 4 O A В O c D

A:

Q: + y*)dx dy B. 19/2 Evaluate A. 35/2 C. 37/2 D. 17/2 A

A: