(4) Find the following integrals. ³+1 (a) [de dt tvt (b) (2 sin (20) - 3eº) do (c)(√u + 1) du.

Q: Find the cross product a x b. a = (4, 5, 0), b = (1, 0, 3) Verify that it is orthogonal to both a…

A: Given vectors are  a={4,5,0} and b={1,0,3} We have to find a×b

Q: 13-R] [CLO 3] Simplify the expression a2 b5 c4 / a3(b2)-3d-4 so that each variable appears at most…

A: a2b5c4a3(b2)-3d-4=b5c4a3-2(b2)-3d-4=b5c4a(b2)-3d-4

Q: 20) Find the function f(x) if f'(x) = 2x³ +1 and f(2)=4

A: given f'(x)=2x3+1 and f(2)=4

Q: A retail company estimates that if it spends a thousands of dollars on advertising during the year,…

A:

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (1, 3, 4), b = (-1,…

A:

Q: Let us model the number of automobile sales in a developing country as 151,000 N (t) = where N is…

A: (a) To find the number of cars sold in 2010, we substitute t= 2010 into the equation:…

Q: if ort XX tex the point He (0,1) find the Value of y

A:

Q: Find the average value of the function f(x) = 4x² on the interval 0 ≤ x ≤ 3

A:

Q: Suppose that in a memory experiment the rate of memorizing is given by M' (t) 0.004t2 +0.7t, where…

A:

Q: Describe a viewing rectangle, or window, that shows a complete graph of the polar equation and…

A: We have to graph the given function. This equation is in polar coordinates so first we will put…

Q: The partially completed table below shows the ten basic solutions to the following e-system. = 29 =…

A:

Q: 9 Find equations of all lines having slope - 1 that are tangent to the curve y = x+8 Select the…

A:

Q: Write an equation of the form y=a sin bx or y= a cosbx to describe the graph below. MA 150 X

A:

Q: Convert the given i-system to an e-system using slack variables. Then construct a table of all basic…

A: Given that x1+x2≤6x1+4x2≤12x1,x2≥0 We have to convert the given i-system to an e-system using slack…

Q: K Graph the system of inequalities from the given problem, and list the corner points of the…

A:

Q: Sketch

A:

Q: 9) Write the Maclaurin series for the given integral: cos(x²) dx

A:

Q: use the given information to determine the equation of the ellipse. Foci: (±2,0), vertices: (±5,0)

A: The general equation of an ellipse with center (0,0) and major axis  parallel to X axis is…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: We know that the volume formula cylindrical shell method is  int_a^b 2*pi*x*(f(x)) dx

Q: Solve the differntial Eq 4x²y" + 4xy' - y = 0

A:

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

A:

Q: Estimate the slope (in y-units per x-unit) of the tangent line to the curve. 40- 7 5- -10 -N -50 -co…

A:

Q: Rounded to the nearest cent, find the amount of money accumulated in 10 years if $17,000 is invested…

A: we have given P=17000, time =10 years, and interest rate =7%=0.07

Q: Find parametric equations for the line. (Use the parameter t.) The line through the points (0, ½, 1)…

A:

Q: The time it takes an average athlete to swim 100 meters freestyle at age can be modeled as t(x) =…

A: The time takes an average athlete to swim 100 meters freestyle at age x can be modeled as…

Q: Find the area of the region that lies inside both r = sin and r = cos 0.

A: We need to find the area of the region that lies inside both r=sin(theta) and r=cos(theta).

Q: Find a parametric representation for the surface. the part of the sphere x² + y² + z² = 36 that lies…

A:

Q: Solve the given initial value problem. dx dt dy dt = 3x+y-e³t; = 4x + 3y; x(0) = 3 y(0) = -8 The…

A:

Q: Question #3 - If I were to find the area between y = x and y=x2² over the interval [0, 1], my…

A:

Q: A log is seen floating down a river. The log is first spotted 25 feet away. 5 minutes later the log…

A:

Q: Evaluate the following integral in spherical coordinates. The integral calculates the volume of the…

A: To evaluate the following integral in spherical coordinates. ∫0π∫0π6∫4 sec φ9ρ2 sin φ dρ dφ dθ

Q: Find f(x + (x + 2)(x − 7)dx

A: We know that the integral of x^ndx =x^(n+1)/(n+1)+C  Where C is an constant

Q: 2 2. Consider the series Σx-₁(-). Find a formula for the nth partial sum S, and k k+2 determine if…

A: we have given series ∑k=1∞ 2k-2k+2

Q: Find an equation of the plane. The plane that passes through the point (1, 2, 4) and contains the…

A:

Q: x = 2y² find the vertex, focus, and directrix of the parabola.

A: x=2y2

Q: Find the area between the curves. x = -5₁ x = 3, y = 2x² + 5, y = 0

A: The equation of curves are: x=-5, x=3, y=2x2+5 and y=0 To determine: The area between the curves.

Q: find the vertex, focus, and directrix of the parabola. 2x + 25 = 0

A: y2+2y+12x+25=0

Q: [3-R] [CLO 12] Give an equation for the line which passes through the point (−2, 5) and which is…

A: given equation of line passes through (-2,5) and perpendicular to line y=13(x+4)

Q: Find the equation of the line that is tangent to the hyperbola at the given point. Write your answer…

A:

Q: and /( 2²/7 + 2x + 4) dx 3 X2

A:

Q: 2. Consider the function g(t) = (t+1) ln(t) on the interval [1, 3]. (a) Evaluate efg(t) dt. (b)…

A: Consider the function gt=t+1 lnt on the interval 1, 3. (a) To evaluate ∫13gt dt. (b) By using  part…

Q: State all of the maxima and the each function location locations Where the local for ottar local…

A:

Q: 10) fx² - 4x dx X

A:

Q: find dy/dx by implicit differentiation. tan(4x+y)=4x. Use the original equation to simplify your…

A:

Q: Find the length of the polar curve r = 3 sin 0, 0 ≤ 0 ≤ π/3.

A: r=3sinθ, 0≤θ≤π3

Q: find the center, vertices, foci, and asymptotes of the hyperbola. x² 144 y² 25 1

A: Standard form of hyperbola  ( x - h )2a2 - ( y - k )2b2 = 1  Center = ( h , k ) Vertices = ( h ± a ,…

Q: 2) The population of a certain city (in millions) x years since 1990 is growing at a rate modeled by…

A:

Q: Arrange the given expressions below in correct order to complete the solution of dy dx finding given…

A: To arrange the given expression below in correct order to complete  the solution of finding dydx…

Q: -2r-1 = 64-³″ 16-2-1 -3r

A: In the given question, the objective is to find the solution. Here, the value of RBI's to be…

Q: Evaluate: 1. lim (1-tanx) sec (2x) X-T4

A: We need to calculate: limx→π41-tan x sec2x This can be evaluated as follows: