car traveling at 45 ft/sec decelerates at a constant 7 feet per second per second. How many feet does the car travel before coming to a complete stop

Q: ( (tano-1)² do

A: Given ∫[tanθ-1]2 dθTo evaluate the integral:

Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: solve

Q: 5. What is dummy variable? Explain the mean value theorem for integrals. Evaluate the following…

A: Concept: Integration: The calculation of an integral is referred to as integration. . Integrals are…

Q: Solve. |x-8=24 Select the correct choice below and, if necessary, fill in the answer box to complete…

A: option (A)  is correct. see below the calculation

Q: Fill in the blanks: 2² + 1 The equation describes an ellipse. The volume of the solid obtained by…

A: We need to find volume.

Q: Complete the table for the equation y=x-2, and graph the equation. X -2 - 1 0 1 2 Use the graphing…

A: line

Q: The first thing “e” wanted to do is to “Calculuize” his favourite game, apples to apples. So, one…

A: A box for the apples to apples game such that its width is exactly three times its length and its…

Q: 2. limx-co √x √x+√√x+√x

A: Here we have to find the value of  limx→∞xx+x+x

Q: Use the graph of f(x) to determine the following limits. The domain of f(x) is x E R. If the limit…

A:

Q: Use tables to determine if x²+x-12 exists. If it exists state the value of the limit. lim x→+3 x-3

A:

Q: The position in feet of a race car along a straight track after t seconds is given by s(t) = 4t² - t…

A:

Q: Using the Inverse Function Theorem, what is (1-1) (8) given that /(x)=√√61-2? Note that (11) = 8.…

A: find inverse function

Q: 5. Find the general solution of the differential equation using GeoGebra (D² +9)y=2 sina

A: General equation of differential equation.

Q: Using the Inverse Function Theorem, what is (-1) (8) given that (x) = √6x-2? Note that (11)= 8. (Do…

A:

Q: Use the chain rule to find dz/t. z = x² + y² + xy, x = sint, y = et

A: Here we will find dz/dt,

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z) = x²y³z² - 4 At point (1,-1,2).

A: Given function f(x,y,z)=x2y2z2-4

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

A: We have to choose correct option for given questions.

Q: d²y dx² dy dx -+ 2y = cos (e-x)

A: The given differential equation is;  d2y/dx2-3dy/dx+2y=cos(e-x).

Q: Consider the following equations. 1 x² O 6 Sketch the region bounded by the graphs of the equations.…

A: topic - area bounded by curves

Q: if a = 7 and b=4, whats the value of f'(7)? 8|77|80 IN TA O a) Ob) Oc) =/ a) 1/2

A:

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: Draw the graph:-    y=0 ( x-axis)  and y=√(x-x2)

Q: Evaluate: S (5 — 2 sec 0 tan 0) de - O 0.79 0.68 O 0.95 0.84

A: ∫π6π4(5-2secθtanθ)dθ

Q: храхашд-Х,50025

A:

Q: ind area bounded by y = 0, y =√x-x² using double integration.

A: We have to find area of given region.

Q: Using the Inverse Function Theorem, what is (-¹) (8) given that f(x)=√6x-2? Note that (11) = 8. (Do…

A:

Q: Find dy given that x = sec² y y. dx Osec² ytan y cos² y tan y 2 Osin² y cot y O cos² y cot y

A:

Q: -)Find volume of body from above Z=√√4x² - y² and below Z Triple integration. 1 using

A:

Q: d dx (f³x²) = ○ 6x63x² (In b) ○ 6³x² (6 ln b) 6x6³x² ○ xb³x² (ln(6b))

A:

Q: Find the largest product the positive numbers x, y, and z can have if x² + y + z = 4. The product is…

A:

Q: Use any method to evaluate the integral. dx X>11 (x²-121) 3/2

A:

Q: Find the coordinates of a point on the parabola y=−x² where the slope of the tangent is 5. x+3x+4

A: The given parabola is y=-x2+3x+4 We need to find the coordinates of the point on this parabola where…

Q: ) What function f(t) has Laplace transform: s² +1 f(s) = 5(s² + s−12) 2

A:

Q: Solve differential equation dy dx -(x²+y) x+siny

A:

Q: B)Solve differential equation dx = -(x²+y) x+siny

A:

Q: Q5A) Find volume of body from above Z = Triple integration. 4-x2 - y2 and below Z = 1 using

A: To find the volume of body bounded by given curves.

Q: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

A: 1.y=x3-3x-1 at the point (2,1)2.y=logx2e

Q: Assume that f is continuous on the set of real numbers. Find a and b given that b 3 [ f(x) dx - f₁…

A:

Q: Question 2 In sketching y= O y = 1 O None of the choices O No vertical asymptote O x = 1 (x-1) In x…

A:

Q: (b) Use L'Hopital's Rule to find the following limits: e-1 x (i) limx→0 (ii). lim-0 x-y fl (x > 0, y…

A:

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A:

Q: Find the area between f(x)=x²-12 and the x-axis from x = 0 and x = 2. The area is square units. ...

A:

Q: Question The graph of f(x) = -2x³+x-3 is shown below. Use the tools to graph the line tangent to…

A:

Q: B)Solve differential equation dy -(x²+y) = dx x+siny

A: Given that,

Q: Determine the first three non-zero terms in the Maclaurin series for einz

A:

Q: Consider the following sequence x₁ = √₁, x₂ = √1 + √I, x3 = √1+√₁+√₁ Evaluate lim xn (No credit for…

A: The given sequence,x1=1, x2=1+1, x3=1+1+1

Q: Find the general solution of the differential equation y" — 4y' + 104y = 0. NOTE: Use c₁ and ce as…

A:

Q: 7. Integral cos x dx sin x

A: This question is related to integration, we will solve it using given information.

Q: B)Solve the differential equation da x+4y

A:

Q: the complex number 6√3+6i in polar form 12(cos(n/6)+isin(n/6) 12(cos(n/4)+isin(n/4)…

A:

Q: 3. y" + y = sin x

A: