Now, differentiate the function y' = 4x(1 + 2 In). y" = 4 + 8 + In + 8 In

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 8 cos(t)i + 7 sin(t)j +…

A: Here we will find the curvature and radius of curvature,

Q: Suppose f(x) = x² – 10x + 1. Compute the following: - A.) f( – 2) + f(4) = B.) f( – 2) – f(4) = -

A: Given query is to find indicated function value.

Q: Question 12 of 12 -/1 E iew Policies urrent Attempt in Progress In a time of t seconds, a particle…

A:

Q: 1. Sx³Va? – x²dx

A: We have to integrate

Q: Use a change of variables or the table to evaluate the following definite integral. 10 e 2X dx 2x…

A:

Q: teimx dx xF I+ x²

A: Given query is to find the integral.

Q: Find the inverse Laplace transform: 1 (s(s² + 1).

A:

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: The points P(-2,1), Q(-6, 4), and R(4,3) are three vertices of the parallelogram PQRS. Find the…

A: Given: Vertices of Parallelogram P(-2,1), Q(-6,4), R(4,3)

Q: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, find the…

A: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, then we have…

Q: Consider the following. f(x) x(x2 – 11x + 35) - g(x) = x²

A:

Q: Solve the problem. Write an iterated triple integral in the order dz dy dx for the volume of the…

A: Write an iterated triple integral in the order dz dy dx for the volume of the region in the first…

Q: We need to enclose a rectangular field with a fence. We have 500 ft. of fencing material and a…

A:

Q: Suppose the demand function D(x) = – 3x+7 and supply function S(x) =2x+2. Find consumer surplus at…

A:

Q: Use the ratio test to determine whether the series is Converyent divorgent or 2" n! (-1)" 5.8.…

A: an=(-1)n 2n n! 5·8·11·.....· (3n+2) When applying ratio test for alternatingseries, the absolute…

Q: 7) find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: Refer to the graph below. Find the producer surplus for the supply function, S, when x=20. Hint:…

A:

Q: 5. A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

A:

Q: Consider the following. RX) = x In x², (-1, 0) (a) Find an equation of the tangent line to the graph…

A:

Q: Find the limit V1+t4 dt lim

A:

Q: Use only the fact that 3x(2 - x)dx = 4 and the properties of integrals to evaluate the integrals in…

A:

Q: A rectangular tank with a square base, an open top, and a volume of 5324 ft is to be constructed of…

A:

Q: Suppose on Jan 1, 1997 Dave invested $2,000 into a bank account at 5% interest compounded…

A:

Q: d d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: You've decided to sell sweatshirts for the upcoming game. You project that at a price of $30.05 per…

A:

Q: 3. Use trigonometric substitution to evaluate Sx V9 – x² dx

A:

Q: Problem:

A: answer is in next step

Q: Consider the initial value problem. y'' − y' = ex,              y(0)=0,   y'(0)=0 (a) Write the…

A:

Q: Find the area of the enclosed region bounded by the graphs of y=e^x, y=x, the y-axis and the line…

A: Here we have to find the area of the enclosed region bounded by the graphs of y=ex,y=x,the y-axis…

Q: Sketch the image S in the uv-plane of the region R in the xy-plane using the given transformations.…

A: Given :

Q: 20) Solve the higher order initial-value problem y"=x+1/x;y(2) =1 and y '(2) = 0 1 7 7 1 15 + -- X-…

A:

Q: Write an equation for the level surface of f(x, y, z) = r² + 10y? + 20z2 corresponding to the level…

A:

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A:

Q: Use the indicated substitution to evaluate the integral. • 7/2 dx, x = 7 sin(0) V49 x2 (Give an…

A:

Q: 2 ConseaRa THe REGION BeUND RO BY Y= VX SET SET UP (BUT DU NUT EVALUATE) AN INTEGLAL FormuLA fOR: A…

A:

Q: Evaluate the double integral over the rectangular region 9(a sin(y) – y sin(x)) dA; R= {(x,y) : 0…

A:

Q: The decay of a certain substance is modelled by the function N(t) = 100 (3+ e), where the number of…

A:

Q: 7) FIND EQUATION Of THE TANGENT AN LINE TO THE PARAMZTRIL X=t-+もt こe AT t =0. CURVE

A:

Q: Find the derivative of y sinh-(13x). (Use symbolic notation and fractions where needed.)

A:

Q: 2n Graph the sets of points whose polar coordinates satisfy the inequalities Osrs1. Choose the…

A:

Q: Find V · (F × G), if F(x, y, z) = 3ri+j+6yk and G(x, y, z) = xi+ yj – zk. V· (F × G) ||

A:

Q: 26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx…

A:

Q: The plot below represents the function f(x): 5- 4 2 -5 -4 -3 -2 -1 I 2 3 4 5 -1 -2 -3 -4 Evaluate f(…

A: Consider the function

Q: The surface area of a spherical snowball is increasing at a rate of 9 mm²/min. Find how fast the…

A:

Q: 2. マ+32 +1

A:

Q: 7

A: We have to find out

Q: 27 10

A:

Q: 6 foND THE EXACT LENGTH Of THE zt -2t PARAMETRIL y(e)=1+4t CURVE X= e te

A:

Q: Use the fundamental theorem of calculus to evaluate the following definite integral. | (3x2 + 9) dx…

A: Given query is to find the value of the integral.

Q: x’D² – 2xD+ 2 y=4x

A: Using Cauchy differential equations,