S. dx Evaluate: x²+ 8x + 20

Q: Evaluate the integral. 6 sin -1 x dx

A: Given problem:- ∫ 6sin-1(x) dx

Q: Consider the points A(3,-3, 3), B(4,-5,0), C(-3,-4, 0), and D(6, 2,-6). (a) Find the volume of the p...

A:

Q: Consider the initial value problem y = sin(xt), y(4) = 1 Use Euler's Method with five steps to appro...

A: Based on the general formula of eular's method we will solve the problem. Please follow the procedur...

Q: 2+ x, x lim g(x) c. g(2) < lim g(x) d. g(2) # lim g(x) X-2 X-2 X-2 X-2

A:

Q: Question 7 7 Let f(z) : and g(z) = %3D I-5 Find the following functions. Simplify your answers. f(g...

A:

Q: Given the function 3x + 5 I 0 Calculate the following values: f( – 1) = %3D f(0) = %3D f(2) = %3D

A: For x &lt; 0 f(x) = 3x + 5 For x ≥ 0 f(x) = 3x + 10 f(-1) = ? f(0) = ? f(2) = ? -1 &lt; 0 f(x) = 3x ...

Q: x+2 8) Let f(x) = values of x at which the function is discontinuous. Determine the +x – 2 Determine...

A:

Q: 2 Find CD C = 4 %3D 5 6 Find DC D

A:

Q: systems of algebriac equatons 4X- 3y +5Z= 34 2X-y-Z = 6 X + y+4Z = 15 X = 4 ans y = -1

A: Solving system

Q: Robinson makes $200 a week and spends his entire income on running shoes and basketball shorts. Writ...

A: We have to find the algebraic expression for the above statements.

Q: x? tan x² dx A True B) False

A: We know that eln xm= xm

Q: 11. Evaluate the lim a. +00 b. -00 C. d. Indeterminate

A: Given:        limx→0-1x4       =limx→0-1x4

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Correct region and solid÷

Q: dt Which of the following is one of the correct steps to evaluate 4e'+e- 4dt A 4e' +e- 4dt (в B 4e'+...

A:

Q: Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is. Round your answers to f...

A: Given that a=ci+j and b=3i+4jand angle between these vector isπ6Solution:

Q: If 972 cm? of material is available to make a box with a square base and an open top, find the large...

A:

Q: S 4 sec2x dx 2. tan2x+2tanx +5

A: topic - indefinite integral

Q: The first derivative of a continuous function y = f(x) is given. Find y" and then sketch the general...

A:

Q: ta = ci + jand b = 8i + 15j. Find c so that the angle between a and b is ound your answers to four d...

A:

Q: Consider the sequence a, = 4**+3" (a) Is the sequence monotonic pr non-monotonic? If it is monotonic...

A:

Q: Let a = and b =. Show that there are scalars s and t so that sa + tb =. You might want to sketch the...

A: a=-2, -1, 0b=-4, 1, 3sa+tb=s-2, -1, 0+t-4, 1, 3=2, 4, 3-2s-4t=-2s+2t=1 ...(1)-s+t=4 ...(2)3t=3 ...(3...

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

A: We have to integrate the given function to calculate f(x). Integration of xⁿ = (x)n+1/n+1

Q: 3. Determine the acute angle, to the nearest degree, between the planes T : 3x+ 2y - 4z +5 = 0 and 7...

A: π1: 3x+2y-4z+5=0comparing with Ax+By+Cz+D=0Direction ratios of normal=(3, 2, -4)n1→=3 i + 2 j - 4 kn...

Q: dy for the following expressions. d.x Problem 15: Find a) y(x² + 8) = 64 b) r³ + y³ : 6xy

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post ...

Q: Identify the local extrema of f(x) = x³ – 4x² + 4x O Local Maximum of 2 at x=0 and Local Minimum of ...

A:

Q: A piston is seated at the top of a cylindrical chamber with radius 7 cm when it starts moving into t...

A: This question can be solved by applying the concept of rate of change of physical quantities.

Q: A cancer tissue is in the shape of a sphere whose radius is increasing at the rate of 2 mm per day. ...

A: we know that surface area of sphere is S=4πr2   As per our guideline, we supposed to answer only the...

Q: - Evaluate the following integral. |e2* cos3x dx

A:

Q: [ y sec2(tan-!y2) dy tan ( tan-ly2) + C 1+y4 A True B False

A: The integration of the integral is  y sec2(tan-1y2)/(1+y4).

Q: 15. S (9z + 15z* – 8z° +2 + 4) dz 9.

A:

Q: 1. Determine if the series * (H) cos en? n=1 is absolutely convergent, conditionally convergent, or ...

A:

Q: b) f(x) = (e* (Inx² – 3))*

A:

Q: 2. The coordinates of the point where the curve y = Inx has a tangent with slope of e are: d. (e,-1)...

A: Slope is already given. And for slope we have to find dy/dx  and then simplify. 

Q: An inverted cone has a height of 15 mm and an initial radius of 16 mm. The volume of the inverted co...

A:

Q: Answer the following questions about the function whose derivative is f'(x)= (x+3) e 2x a. What are ...

A: Let us consider a function f(x). A point x=a is said to be a critical point of f(x) iff f'(a)=0 f(x)...

Q: . if võ =o, i =1 and Ju = 2 estimate 13 %3D by constructing Logrange polynamial, Itn with the exact ...

A:

Q: csc-xdx=2 2 | cscx.-dx 2 2 A True B) False

A:

Q: The management of the UNICO department store has decided to enclose an 883 ft2 area outside the buil...

A:

Q: 45 sy = +x +

A: answer of given question is in next step

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = t2i 1,3K 4tj + %3D (a) r'(t) (b) r"(t) (...

A:

Q: „In sec²(sin2y)dy can be evaluated by writing it as sec2y A sec²(sin2y) - cos2ydy None © In sec²(sin...

A:

Q: A system is described by the DE n.p + r + 5 u = 10. d t? dt (a) For what values of the positive cons...

A:

Q: Evaluate the following limit, if it exists: 15 lim ' sin Note: Write the exact answer not the decima...

A: we want to find the limit limx→∞  x7 sin15x7

Q: Solve this problem on separate paper. Show all supporting work and include units on your solutions. ...

A:

Q: 5. S(4x+ 2x 1) (12x+ 4x)dr

A:

Q: A truck is traveling due north at 55 km/hr approaching a crossroad. On a perpendicular road a police...

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: I am attaching image so that you understand each and every step.

Q: Find the area of the region bounded by the curves, x = -6, x = 6, the x – axis and the parabola x2 –...

A:

Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the are...

A: Let's find.