Given that f(x) = 9x − 1 and g(x) = 8 - x², calculate (a) f(g(0))= (b) g(f(0))=

Q: The position of a particle in the xy-plane at time t is r(t) = (t - 2) i + (²+1) j. Find an equation…

A:

Q: Find a curve that passes through the point (1,-6) and has an arc length on the interval [2.6] given…

A: given passes through (1,-6) given arc lenth is ∫261+400x-6dx

Q: Evaluate the indefinite integral. | a2ea3 dx + C

A: To evaluate the following indefinite integral. ∫x2ex3 dx

Q: sin 57 a sin 37 127

A: given  sin(57°)a=sin(37°)127

Q: Find the rectangular coordinates of the point whose spherical coordinates are given. (a) (3, 0, л/2)…

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) x² - 6x + 8 X-4 lim X→ 4

A: To evaluate the following limit. limx→4 x2-6x+8x-4

Q: If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c…

A: Given D = adult dosage ( in mg ) c = appropriate dosage a = age Given model c = 0.0417D( a + 1 )

Q: A particle is traveling on a curve in outer space in such a way that its = 2, however, position at…

A:

Q: 1 7. For f(x) write the linear approximation at a = 0 and estimate f(-0.1). (Note: The derivative of…

A: Let's find value of f(-0.1).

Q: As gravel is being poured into a conical pile, its volume V changes with time. As a result, the…

A: To determine the expression of volume change with respect to time.

Q: In Exercises 7-16, evaluate the limit. X x → ∞ x + 9 7. lim 8. lim x →∞ 3x² + 20x x →∞ 2x² + 3x³ -…

A:

Q: If f(3) = 24, f' is then the value of f(9) is 9 continuous, and f f'(x) dx = 14,

A:

Q: if x -5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim_ f(x) = Let…

A: This question of calculus  here limit of function is given  we have to find limit of piecewise…

Q: Find the solution of the following differential equations. Show your solutions. 1. 2. (x² + 2y²)dx -…

A:

Q: A sportswear manufacturer is introducing a new line of sneakers. To introduce the new line, the…

A: Concept at the break even point , the profit is equals to zero P( x ) = 0 Given FIxed cost( F ) =…

Q: In Exercises 7-16, evaluate the limit. X x → ∞ x + 9 7. lim 8. lim x →∞ 3x² + 20x x →∞ 2x² + 3x³ -…

A:

Q: Find the value of a so that √x²-5x = 4 Vx2 lim √x² + ax - X18

A: We are required to find the value of a for which limx→∞x2+ax-x2-5x=4

Q: Part B Blueberry high-fiber muffins contain 57 % dietary fiber by mass. If a package with a net…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Assume the half-life of a substance is 29 days and the initial amount is 175.999999999996 grams.…

A:

Q: 20 a 0 -20- ·O· 40 As the circle slides to the right at a constant rate, the instantaneous rate of…

A: Given that , The circle slides to the right at a constant rate.

Q: Integrating an odd function (without considering the arbitrary constant of integration) will give…

A: Let f(x) is an odd function then,                             f(-x)=-f(x)                ⇒…

Q: Solve the initial value problem below using the method of Laplace transforms. y" - 3y' - 10y = 0,…

A:

Q: Find the average rate of change of f(x) = 4x³ - 15x + 3 from x = -2 to x = 4.

A:

Q: If a particular telephone network's charges are given by the cost function C(x)=50+35x, what is the…

A: We need to find out the fixed cost for the given cost function.

Q: ap (az) ,so၁ ၂ 8 '8

A:

Q: The monthly profit from the sale of a product is given by P = 32x - 0.2x² - 150 dollars. (a) What…

A: We have given monthly profit  P=32x-0.2x2-150 Differentiating profit function with respect to x  P'…

Q: Evaluate the integral by making the appropriate substitution: u = 25 [ 2² (2³ – 3) ³dz = [ 25 [x²…

A: To solve the given integral.

Q: For what values of x is f continuous? 0 -{! 8 f(x) = if x is rational if x is irrational

A:

Q: Use the graph of g in the figure to find the following values, if they exist. If a limit does not…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Find the exact value of the expression, be sure to justify your answers. tan sin -¹ (/)

A: Given

Q: Evaluate the integral. | 6² ( ₁ 7 2²³ + 5+1 k) dt 5t4 j+ + t². π -j + ln (2) k X

A:

Q: Consider the following regions. -0.2 y 1.2 1.0 0.8 0.6 0.4 0.2 -0.2 R₁1 R₂ y=x² R3 y = x 0.2 0.4 0.6…

A:

Q: Problem #5: In the process of solving the differential equation x³y - 6x²y = cos(6x), x > 0, which…

A:

Q: Given the function P(x)=-(x-1)(x+3)(x-6) the coordinates of its P-intercept are

A: Given  P(x) = - (x -1) (x+3) (x -6)  Find it's P-intercept.

Q: Consider the points P(-1, 1, 0), Q(2, -1,2), and R(1, 1, 3). Show your work for the compu- tations…

A:

Q: I do not understand your writing, and can you explane it any more?

A:

Q: 1. Find the limit for the following questions using the properties of the limits. x²-4 a. lim X-2…

A: limx→-2x2-4x+2

Q: Find f(x) if f(x) = 7 +8 and f(1) = 4.

A: Given that f'(x)=7x4 -(i) and f(1)=4.Our Aim is to find the value of f(x)=?

Q: Problem #6: A certain rocket engine has a temperature when in use of approximately 155°C. If left to…

A:

Q: Level 1: 1. Adele, Beyonce, and Cher live within 15 miles of each other, as shown on the map. Level…

A:

Q: Find the solution of the following differential equations. Show your solutions. 1. (3x + 4y)dy + (y…

A: A detailed solution is given below.

Q: The graph of the function h(x) is shown. Find the function values h(4), h(6), and h(7). h(4)= C…

A: h(4) denote when the value of x=4 what is the value of function h(x)

Q: Find the distance from the point P to the given line L. P(0, -1, 2) and L: x=2 + 3t, y=-3-2t, z = -3…

A:

Q: Eliana is flying a kite tethered to the ground at the end of 117 meters of string. If the a of…

A: Question - Eliana is flying a kite tethered to the ground at the end of 117 meters of string. If the…

Q: WOW THANKS! Can you help with question 18 too? I realized I already answered 20 after i sent it

A: Here is the solution:

Q: Distance From Water (ft.) 0 T √ 4 8 8 X 12 Time (sec.) Here is the graph for a new turtle. Use the…

A: Graph for a new turtle is given.

Q: a) Graph the function f(x)=2x²-7x+5. b) Draw a tangent line to the graph at the point whose…

A:

Q: Find the equation for the plane through the points Po(2,3,5), Qo(-2,5,-4), and Ro (3,1,1). *** Using…

A:

Q: Use the graph to find the following limits and function value. a. lim f(x) X→2 b. lim f(x) x→2* c.…

A: Topic - Limits We are given a graph of a function.

Q: Suppose you want to have $600,000 for retirement in 30 years. Your account earns 6% interest. A)…

A: