Evaluate 7 Stdx +3 2) Sierda *) we taaperoid moule to approssimate 3) sx + 2...
Given the function f, evaluate f(-1), f), f(2), and f(4). Sx²-3 if x < 2 f(x) 6 + [x - 5] if x 2 2 f(-1) = f(0) f(2) f(4) = A car travels at a constant speed of 50 miles per hour. The distance, d, the car travels in miles is a function of time, t, in hours given by d(t) = 50t. Find the inverse function by expressing the time of travel in terms of the distance traveled....
Evaluate the integral [~ /36+? Sx 736+X?dx=0 Find the area of the region enclosed by the curves y=x2 - 4x and y= -x2 + 4x The area of the region enclosed by the curves is (Type an integer or a simplified fraction.) Use l'Hôpital's rule to find the following limit. 10 In (x-9) x 10+ - (4-10_16->) - ] (ype an integer or lim- (Type an integer or a simplified fraction.) x - 10 In (x-9) X10+
4. Find the value of the variable if m || 1, m_1=9x+38 and m25=7x+32 1 2 3 4 5 6 7 8 Find the exact area of the shaded region. 8 ft 6 ft с
2. Evaluate the following indefinite integrals: (a) vel V=(x+2) dx ET (b) 3. Evaluate the following definite integrals: (a) cos(x) da (sin(x) +18 (b) COS 4. The graph of y=g(t) is shown below, and consists of semicircles and line segments. y=g() -1 3 6 596 s(t) dt Define the function f(x) by f(x)= Use the graph of y = g(t) and the properties of the definite integral to find: (a) the value of (i) f(3) (ii) f(-1) (iii) 1'(6) (b)...
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
#7 and #8 UVOD f(x) 7x X2 + 8 1 SXS 3 lim n- 1 Need Help? Radt Wish Talk to a Tutor 8. [-/1 Points) DETAILS Use the Definition to find an expression for the area under the graph off as a limit. Do not evaluate the limit. Fx) x2 + 12x 3 SX 85 lim
QUESTION 4 Use the appropriate transformation to evaluate SX (2x + y)(x - y)dA where R is the region bounded by the line y = 4 - 2x, y = 7 - 2x, y = x - 2 and y = x +1. (8 marks)
1. (2 points) Find F dF if curl(F) 3 in the region defined by the 4 curves and C4 Ci F . d7 where F(x,y,z)-Wi +pz? + Vi> and C consists of the arc of the 2. (2 points) Evaluate curve y = sin(x) from (0,0) to (π, 0) and the line segment from (π,0) to (0,0). 4 3 3. (2 points) Evaluate F di where F.y,(ry, 2:,3) and C is the curve of intersection of 5 and y29. going...
Please help with 1-10 and please show all work thanks. Show all of your work neatly, and express solutions as exact answers unless otherwise requested. No credit will be given to solutions that have no work shown! BOX or CIRCLE your final answer. 1. Sketch a graph and shade the area of the region bounded by the following equations. Set up an integral that would give this area. 2x + y2 = 6 and y=x+1 2. Sketch a graph and...
1. Set up, but do not evaluate, an integral to find the area enclosed by the x-axis and the [x = 1 + et curve ly = t-t2 2. {*5+?2t Osts2 y = VE (1) Find the equation of the tangent line at the point where t = (2) Set up, but do NOT evaluate, an integral to find the area of the surface obtained by rotating the curve about the y-axis. 3. Set up but do NOT evaluate an...