Using rectangles each of whose height is given by the value of the function at the midpoint of the rectangle's base (the midpoint rule), estimate the area under the graph of the following function, using first two and then four rectangles. 5 X 1 and x = 1 9 f(x)=- between x = - Using two rectangles, the estimate for the area under the curve is 0. (Type an exact answer.)

Q: The graph in the figure is a horizontal and/or a vertical shift of the graph of y=x2y=x2. Find a…

A: To find the equation of the graph.

Q: 3.17 A plane contains the vectors A and B. Determine the unit vector normal to the plane when A and…

A: (a) vector A→ = 7i+8j-2k    and     B→ = 9i-4j-5ka plane contains both vectors A     and  B   so…

Q: iven that the directional derivative of f at the point (6,-9, 1) in the 9, 1)|| = 10, rection of a =…

A:

Q: Evaluate the improper integral or state that it is divergent. (If it is divergent, enter DIVERGENT.)…

A:

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) =…

A:

Q: f(x) x+63-g(x) 10. lim (x))

A: given  limx→6f(x)=9limx→6g(x)=3(10)  D=limx→6(f(x)3-g(x))

Q: For the function, find the partials f (x, y) and f(x, y). f(x, y) = 9x² - 7x³y² - 8xy + 7 (a) f(x,…

A: To find the indicated partial derivatives of given function

Q: Using the following function: answer the following questions: a) Which of the following statements…

A: The graph of the function f(x)= 2x^5+3x^4+x^3-7x^2+3x+4 is;

Q: 5. (Antiderivatives) Evaluate the following. (a) √ √3x + 8 dx = (b) fe ) [e³* – sin(x) dx = (c) / /…

A: Given :(a) ∫3x+8dx(b) ∫e3x-sinxdxc ∫14xdx(d) ∫4+tt3dt(e) ∫132x-65dx(f) ∫π6π2cos2xdx

Q: 2 ~² S-₁ (2-x²)²³ - (x²)² dx = π

A:

Q: If 8000 dollars is invested in a bank account at an interest rate of 7 per cent per year, compounded…

A: NOTE: Refresh your page if you can't see any equations. . the initial amount is P=8000 dollars the…

Q: evamate cot¹ (2-3₁)

A: Formula used sin( a - b ) = sinacosb - cosasinb cos( a - b ) = cosacosb + sinasinb sin( ix ) = isin(…

Q: If y= 1 6 X 3 dy find at x = 2. dx dy dx (Simplify your answer.) The value of at x = 2 is.

A: Given: y=1x6

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the…

A:

Q: For the sequence an = an-1 + An-2 and a₁ = its first term is its second term is its third term is…

A:

Q: Question 1 h (x, y) = 2xy + 3x² + 4x³y² +8 What is the value of Əh(x,y) dy when x = 2.2 and y = 3?…

A:

Q: 1. Determine an equation in factored form for the polynomial function represented by the graph. ✓✓…

A: We have given graph of the function  From given graph  Zeros : -2,0 x=-2 (multiplicity 2) x=0…

Q: The graph in the figure is a horizontal and/or a vertical shift of the graph of y=x^2 Find a formula…

A:

Q: In each of Problems 1 through 4, determine the order of the given differential equation; also state…

A: NOTE: Refresh your page if you can't see any equations. . given solutions are

Q: find the following. (a) the average rate of change of f on [2, 5]: (b) the average rate of change of…

A: Given query is to find average rate of change.

Q: Set up the integral that uses the method of disks/washers to find the volume V of the solid obtained…

A:

Q: For a school group, a skating rink charges a flat fee of $50 for skates for the students, plus a…

A:

Q: Which polynomial function has the following end behavior? Assume a and k are positive constants. If…

A: Given: If x→-∞ then p(x)→+∞,   If x→+∞ then p(x)→-∞

Q: 7cx Determine the value of c so that x = -8 is a vertical asymptote of p(x) = 3x + c O c = 1/3 O c =…

A: here we have to find the value of c.

Q: A closed box is in the shape of a rectangular solid with dimensions ?, ?, and ?. (Dimensions are in…

A: Let dimensions are ( x , y , z ) As we know that total surface area of rectangular box ( A ) = 2( xy…

Q: 3. Determine the following function f has a removable discontinuity at c. Rdefine f(c) so that f is…

A:

Q: Find the range of f(x) = 23 e*+3

A:

Q: 3. Show algebraically that lim √²- -2x = 0. 30-00

A: The given limit is limx→∞x2-2-x We have to find the limit value. Note : If multiple question given…

Q: Let f(x)=5x+4 Let g(x)=ln(x)+3 Find the following: (a) g(f(x))= (b) f(g(x))= (c)…

A: f(x)=5x+4g(x)=lnx+3(a)for g(f(x)), put x=5x+4 in g(x)

Q: Find an equation of the tangent line to the graph of y= The tangent to the curve at the origin is y=…

A:

Q: Describe the given region in polar coordinates, such that 0≤rand -≤0≤T. The region enclosed by the…

A: To find the polar coordinates to describe given region.

Q: Use implicit differentiation to find az Әх az ду = x2 - y² + z² - 4z = 9 az Әх and əz ду

A:

Q: 17. Consider the initial value problem y' + y = 2 cost, y(0) = -1. the coordinates of the first…

A:

Q: 8. If f(x) = √2x + 3 and g(x) = x - 1, what is the domain of g(x)f(x)?.✓✓

A:

Q: Solve the linear system [x, y, z]= [0, -2, − 12] + s[1, − 1, 2] - [x, y, z]= [38, 0, -46] + t[3, 1,…

A: Topic - Linear system We are given [x,y,z] = [0,-2,-12] +s[1,-1,2][x,y,z]=[38,0,-46]+t[3,1,-5]

Q: Given limx→6 f(x) = 8 and limx→6 9(x) = 5, evaluate If the limit does not exist enter DNE. Limit = 0…

A:

Q: Let f(x) be the function 1 x + 13 Then the quotient f(3+h)-f(3) h can be simplified to -1 ah + b…

A:

Q: Given that lim f(x) = 10, lim g(x) = 8, lim h(x) = 10, find the following limits x→a x→a x→a Enter I…

A:

Q: Evaluate the limit: lim sin 5x sin 4x sin 4x sin 2x x→0

A:

Q: Find the cross product a x b. a = t, 8, 1 t b = (t², t², 1) Verify that it is orthogonal to both a…

A: Given: a=t, 8, 1t, b=t2, t2, 1

Q: If f(x) = ex+4, find and simplify f(1 + h) – f(1) . 0 e4 (eh - 1 ) 0 ch + h () es+ h 0 (0 - 1) کین 0…

A:

Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

A:

Q: Find the solution of the following linear equation system with Cramer Methods. x₁ + 2x2 + 3x3 = 2…

A:

Q: 5. y"-2y+5y=e* cos x

A:

Q: Find the magnitude of the torque exerted by F on the bolt at P if |PQ| = 6 in. and |F| = 28 lb.

A: Given: PQ→=6F=28θ=45°

Q: Find  f ′(a). f(x) = 2x2 − 3x + 3 f ′(a) =

A: The function is  f(x)=2x2-3x+3

Q: For the function f(x) = -5x - 8x² + 7x³, Step 1 of 2: Find the slope of the tangent line at x = 1.…

A:

Q: A solid is obtained by rotating the shaded region about the specified line. about the y-axis y…

A: given  y=5x-x2  and y=xformula for volume is V=2π∫abx(f(x)-g(x))dx

Q: 4. Using the limit definition of the derivative, find the derivative of g(x) = √2x +1.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the exact value. tan 0 = — where 90 ≤ 0 < 180 Find: sin 01/201 /5 2 O 2√5 5 √5 5

A: