
Q: Find the surface area generated by revolving the portion of the curve y=x^2+1 between x=1 and x=2 ab...
A: Given that, Curve, y=x2+1 We have to find the Surface Area Generated by revolving the portion of t...
Q: Given g(x) evaluate and simplify: x +1 g(2 + h) – g(2)  h
A: Click to see the answer
Q: prove that "The Sum of two odd numbers is even: using direct. Note: 1 want the ansawer on a paper.
A: The sum of two odd numbers is even. Proof : Properties odd and even integer. If ...
Q: Find dy/dx Roots +2y=c
A: Derivatives can be defined as rate of change of function with respect to an independent variable. It...
Q: 15) f(z) = V g(x) = Vx + 2
A: Given f(x)=x
Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of c...
A: As per given by the question, The length of the rectangular box is 252x. The width of the rectangu...
Q: please help solve
A: The average slope of the hill is the ratio of the vertical distance (Rise) to the horizontal distanc...
Q: 2.x S(1 + e2) e d O e^x + e^ x + c O e^1 e^x + c O (c^2x 1) / e^x + c O (c^2x 1) e^x+ c
A: Integral is in some sense the inverse of the derivative. This is seen from the fundamental theorem o...
Q: Evaluate each expression. 13) log4 64
A: Click to see the answer
Q: Find the equation of the family of curves at every point of whichthe tangent line has a slope of 2y.
A: We have to find the equation of the family of curves at every point of which the tangent line has a...
Q: Find the intervals on which f is concave up or down, the points of inflection, the critical points, ...
A: Function is the unique relation where each x is mapped to unique y. It can be of many type, injectiv...
Q: (3x – 8)² dx = f(u) du where u = (enter a function of æ) du = da (enter a function of æ1) a= (enter ...
A: The complex form of integral can be converted to simple integral using integration by substitution t...
Q: 5. Prove by the principte of mathematical induction. show that 1 +2+2² +.+ 2"  2"1/for all non nega...
A: To prove1+2+22+2+...+2n=2n+11 using mathematical induction.
Q: Solutions must contain the "GRAPH", "INTERSECTIONS", "EVALUATION OF DEFINITE INTEGRAL"
A: y=8x,y=2x,x=4 Now, graph the function and represents the intersection points on the graph. The int...
Q: Please see image
A: Click to see the answer
Q: z2=y2+x2 cone and x2+y2= 4 calculate the volume of Solid ''S'' bounded by its cylinder My mother t...
A: Click to see the answer
Q: Using implicit differentiation, differentiate the following
A: Click to see the answer
Q: The area labeled Bl is 5 times the area labeled Al. Express din terms of al. yA y= e* y= e* A a b.
A: In calculus, an integral is a mathematical object that can be interpreted as an area or a generaliza...
Q: Q1. Test for convergence of the following alternating series El1)"+1_n+1 Jn +1 n=1
A: Given that, ∑n=1∞(1)n+1n+1n+1 As we know, Alternating Series Test : If the alternating Series ∑n...
Q: Solve for the general solution d. (D² + 1)y = secx cscx
A: Click to see the answer
Q: 4d
A: Click to see the answer
Q: Find a function fand a number al such that f(t) dt = 2/I 2+ for all a > 0). f(x) = a =
A: Given that : 2+∫axf(t)t2dt =2x , for all x>0 We need to find the function 'f' and the num...
Q: Homing pigeons avoid flying over water. Suppose a homing pigeon is released on an island at point C,...
A: Given Energy rate over water = (1.34) Energy rate over land
Q: Find the linearization of ?=?sqrt7x at ?=16.
A: Click to see the answer
Q: Find the greatest number which divides 110 to leave a remainder of 2 and the same number also divide...
A: According to the question, If we subtract 2 from both 110 and 62 then our required greatest number w...
Q: please help solve
A: Graph of the function given.
Q: I just need help with this question
A: Click to see the answer
Q: Evaluate each expression. 13) log, 64 4
A: 13) Given: log4164
Q: Evaluate. 5  3 (7x + y) dx dy 0  4 5  3 I (7x+ v) dy dy i (Simplify v
A: Click to see the answer
Q: Di: Find the Dimit. lim 25h+4
A: Given limh→025h+4h To Find The value of the above limit.
Q: Integrate the following
A: Our Aim is to evaluate the integral given below:∫xexdx (i)
Q: Complete the square
A: Our Aim is to find the roots using complete the square.F(x)=x2x+4(i)
Q: 1
A: Click to see the answer
Q: from a 0 to b = 1 e+e
A: ∫01dxex+ex
Q: The hypotenuse of a right triangle is 11inches. If one leg is 10 inches, find the degree measure of...
A: Given: The hypotenuse of a right triangle is 11 inches. One leg is 10 inches. To find: The degree me...
Q: Evaluate the following integral as it is written. 5 5 4y dy dx 0 x
A: To evaluate the integral: ∫05∫x54y dy dx Solution: Evaluating the given integral. ∫05∫x54y dy dx=4∫0...
Q: 4. Consider the points A(1, –1, 4), B(2, – 2, 5) and O(0, 0, 0). (a) Calculate the cosine of the ang...
A: The given points are A(1,1,4) and B(2,2,5) and O(0,0,0) The cosine of the angle between two vector...
Q: dt 4e et
A: To evaluate the integral: ∫dt4etet Solution: Given integral can be written as: ∫dt4etet=∫1et4e...
Q: A round hole of radius sqrt(3) ft is bored through the center of a solid sphere of a radius 2 ft. Fi...
A: To find: The volume of material removed from the sphere. Given: The radius of sphere is 2 feet, and ...
Q: (5) Consider the function g(x) = 5 ln(x + 2) – r. (a) Compute the derivative g'(z). (b) Use the firs...
A: It is given that, g(x)=5ln(x+2)x If a function f(x) is given, then the derivative of the function...
Q: Determine the vertical asymptotes of the following functions, if exist:
A: (a) Given function is: fx=x2x2x+1 Then we get, fx=x2x2x+1⇒fx=x+1x2x+1⇒fx=x2 Hence the graph of...
Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 700 yd ...
A: A lifeguard needs to rope off a rectangular swimming area in front of long beach using 700 yd of rop...
Q: Evaluate the following integral as it is written. 1 2x ху dy dx 0 x? 1 2x ху dy dx %3D (Simplify you...
A: Click to see the answer
Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...
A: Formula of the volume of the cylinder is v=2πrh. The formula of the volume of the cylinder obtained ...
Q: dz Use the Chain Rule to find where z = 4x sin y, x=t*, and y = 4t°. dt' dz dx II
A: Given z=4xsiny, x=t4 and y=4t5 We have to find that dzdt Chain rule is defined as f⋅g'=f'⋅g+f⋅g' The...
Q: What is the domain of the following. {(3, 4), (9, 1), (10, 5), (2,15), (8, 4)}
A: Domain of the function is set of all values that function takes or function is defined for. Range i...
Q: Find the stationary points of the function f(r) = 3rª – 2rº. Apply the Second Derivative Test to ide...
A: Given function is fx=3x42x6. Stationary point is the point where first derivative of the function i...
Q: Which of the following is FALSE?
A: Which of the following is false.
Q: How to use eulers method in this situation
A: Given dydx=xy2 ; y0=1fx,y=xy2
Q: attached question
A: Given: ∫2∞2xx24dxTo determine whther this integral is converges or diverges