Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola y = 7 - x².

Q: Find the area of the region enclosed by one loop of the curve. r = 7 cos4e Select the correct…

A:

Q: d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: Find the Taylor series generated by fat x = a. 1 f(x)=, a=9

A:

Q: Given the series E Vn9 +1 Vn9 1. n=1 Explain why the limit comparison test is applicable to check…

A: Using limit comparision and p test.

Q: 10. If 3(a, 3, 2)-2(3, b, b) = (-3, 1, -2), determine a and b. Describe the set spanned by the…

A:

Q: Determine the absolute maximum and minimum values of the function f(x) = x'e* on the interval -1<x<…

A:

Q: Find the eccentricity of 8x 2 + 6y 2 - 32x + 24y + 8 = 0. 2 1/2 2√7

A:

Q: construction company will be panalized each day of delay in construction for bridge. The penalty…

A: Given the query is to find the maximum possivle days for delaying.

Q: Use Chain Rule to find ds given w = Vr² – 2y + z² and r = cos (st), y = -2s Int and z = s –

A:

Q: Find T(t) and N(t) at the given point. r(t) = 8 cos(t)i + 8 sin(t)j; t = 1|3

A:

Q: Evaluate the integral by interpreting it in terms of areas. *18 |x - 9| dx

A:

Q: Find the focus of the parabola y = x 2 - 12x. (6, -35) (6.75, -36) (6, -35.75)

A:

Q: 2 Evaluate thefallowing cartesian integrats by - changing theminteequivalent Palar integralse 4- to…

A: Solving

Q: The temperature in degrees Celsius (C) in Toronto starting on March 1** can be represented by the…

A:

Q: You've decided to sell sweatshirts for the upcoming game. You project that at a price of $34.08 per…

A: answer is in next step

Q: -(;) > Let 7 (t) = < - 5ť² + 3, t² – 3t, In| a. Determine the coordinates of the point on the curve…

A: given: r(t)=-5t2+3,t2-3t,ln15

Q: A local event center hosts wedding receptions The event center charges a rental charge plus a charge…

A:

Q: Solve the linear differential equation dy 2y x2 - dx 1+x2 x2 y = x² tan-1(x) + c y = + c 1+x2 Option…

A:

Q: f(x)=x√ 36 = x² ntercepts (x, y) = (x, y) = (x, y) = elative minimum (x, y) = elative maximum (x, y)…

A:

Q: Area: 7A square centimeters

A: The length is 7/3 cm and breadth is 3 cm or vice-versa for the perimeter to be minimum

Q: A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with…

A: Given problem:- A cardboard box manufacturer wishes to make open boxes from rectangular pieces of…

Q: The non-homogenous solution of the following equation by using variation of parameter method y" + y…

A: Given

Q: 4. Find the volume of the solid that lies under the paraboloid z = x? + y² and above the region R in…

A: We want to find the volume.

Q: In 2000, the population of a city was 76,000. The population had grown to 111,000 by 2011. If the…

A: We have to find the year.

Q: B) Find the number of bacteria after 5.5 hours.

A:

Q: -4 -3 Find the eigenvalues of matrix 6. 5 A. 1 & 2 B. -1 & 2 C. 1 & - 2 D. -1 & -2 E. None

A: Let's find.

Q: Select the conic section represented by the equation. 3x 2 + 2x - 5y + 7 = 0 line hyperbola circle…

A:

Q: Find an equation for the tangent plane to the surface given by f(x,y)=÷(4x² – 2y²) at the point…

A:

Q: Find the area enclosed by the given curves a) y=x^3, y=-x, x=-1, x=1 b) y=x, y= -1/x, x=1/e, x=e

A:

Q: {In (n+10) – In (n+5)}°

A: an =ln(n+10)-ln(n+5)an =lnn+10n+5limn→∞ an =LIf the limit exists and finite, then the sequence is…

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We have to find X intercept, relative minimum, relative maximum, point of infection and the equation…

Q: 6. The initial population of a town was 12000. After 5 years the population increased to 38000…

A:

Q: Given the three vectors å ,b and ở in 3D. The following question is t termine if operation involving…

A: We can solve this as follows:

Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 = klo

A: Polar curve

Q: Solve the linear differential equation dy 2y x2 dx 1+x2 x2 y = x? tan-1(x) + c y 1+ x2 =1+x² +…

A:

Q: Find fogo h. f(x) = x – 5, g(x) = Vx, h(x) = x – 5 %3D

A:

Q: The Cartesian equation of the straight line tangent to the plane curve given parametrically by the…

A: Explanation of the answer is as follows

Q: A rectangle is bounded by the x- and y-axes and the graph of y = (6 - x)/2 (see figure). What length…

A:

Q: Match the function with one of the graphs below using horizontal asymptotes as an aid. Am 0.5 0.5

A: This question is based on graphing a function using horizontal asymptote.

Q: The u(x) that converts the equation below into an exact equation x\dy + (2x?e" + 1) = 0 ey + y) dx…

A: Let's find.

Q: 2000, the population of a city was 71,000. The population had grown to 100,000 by 2011. If the…

A: Given query is to find the population in 2026.

Q: Find the arc length of the parametric curve. x = 24 cos(t), y = 24 sin(t), z = 7t; 0<t< T L =|25

A:

Q: A radio transmission tower is 211 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: We have to solve above question and find length of wire As per bartleby guidelines we have to solve…

Q: Use the formula к(t): k(t) ||r' (t) x r"(t)|| 3 ||r' (t)||³ r(t) = esti + e¯tj = to find (t). #1

A:

Q: Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find…

A:

Q: R'(x) = -0.1x + 40 (a) Find the daily total revenue realized from the sale of 160 units of the…

A: Given the query is to find the Indicated revenue.

Q: Find fr(r, y) and fy(x, y) given f(r, y) = tan r - cos(r² – y²).

A:

Q: write the sum in summation notation, using the given lower bound   1/2+2/3+3/4+4/5+5/6=

A: Given:  12+23+34+45+56 If we see the pattern we can say that numerator and denominator of the nth…

Q: Shown below is a graph of a line in the Cartesian plane. What corresponding polar equation? 2 -1 -1…

A: As we know that; The intercept form of equation of a line; xa+yb=1 Where; The x-intercept is at a,0…

Q: Find the arc length L of the graph of r(t). r(t) = 9 cos(t)i +9 sin(t)j + tk, 0≤t≤ 2π

A: This is a problem of vectors and integration. Based on concepts and formula of arc length we will…