15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial velocity is s'(0) = displacement is s(0) = 7cm. What is the position function? -4m and its initial ст %3D sec -- 4t + 7 5t3 а. 6 5t3 b. C. + 4t + 7 5t3 -- 4t – 7 6 d. - 4t + 7 3 -

Q: 17. Find the area enclosed by the x-axis and the curve y = -x² +9 32 s.u. а. 3 b. 18 s.u. с. 36 s.u....

A: Find the area enclosed by the x-axis and the curve y= -x2+9 

Q: P(z) how might the function 9(x) Question 3: When working with rational functions of the form f (x) ...

A:

Q: Let u = (2, – 4) and v =(-4,2). Find the component form and magnitude (length) of the vector 2u - 3v...

A:

Q: Find the distance from the point to the plane.   (4,1,8)​, 7y+5z=0

A:

Q: Regarding y as the independent variable and æ as the dependent variable, find the- y* + 5x²y² + 4yxª...

A: Given: - The curve is,y4+5x2y2+4yx4-2y=83 at the point (2,1) To find: - The slope of the tangent lin...

Q: (5+ln æ)2 Evaluate S -d.x. Give your answer as a simplified fraction if necessary. The value of the ...

A:

Q: The weekly cost C (in dollars) of producing x units in a manufacturing process is given by C(x) = 8...

A: topic - functions

Q: If labor (x) costs $235 per unit, materials (y) cost $169 per unit, and capital (z) costs $60 per un...

A: Given that: Labour costs $235 per unitMaterials y cost $169 per unitCapital z costs $60 per unit.

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9.

A: Given, We have to find the area enclosed by the x-axis and the curve y=-x2+9.  

Q: dy (x + 1)+ (x + 2)y = 0 dx

A: Follow the procedure given below.

Q: (2 + 5æ) ei dr 9, 2.

A:

Q: To evaluate f dx, the integrand can be transformed to 1-sin?x

A: Follow the procedure given below

Q: Question 10 Evaluate f - x3+27 dx. x+3 x3 A.) 3 + 9x + C x3 В.) 3x2 + 9x + C 2 C.) 3x2 + - 9x + C D....

A:

Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Follow the procedure given below.

Q: 13

A:

Q: Solve the differential equation (FODE)

A:

Q: Find

A: Solution is here

Q: Let f(x, y, z) = 5x³ – y + z?. Find the maximum value M for the directional derivative at the point ...

A:

Q: ssume you are given the surface S with equation æ² + + = 1. = 1. 9

A: We can use distance formula to solve the problem

Q: Match each property (a)-(d) with one or more graphs (I)-(IV) of functions. 4. (II) 4. 4 (I) 4. (IV) ...

A:

Q: 11.Determine the equation of the curve whose tangent line at any point (x,y) is e* – sin x and passe...

A:

Q: dx What should be the rewrite of the integrand of f so that the resulting integral is integrable? 1+...

A: We have to find integrand 

Q: What is an antiderivative of ... x²+1 x + arctan x – 5 2x + 3 x + arccot x x + 2arctan x + 1 А) в B)...

A:

Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place...

A:

Q: Solve the differential equation y' = e4Y sin(5x) and choose the correct answer from the following op...

A: Given:- y'=e4y sin(5x)  To find:- General solution of given differential equation

Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place...

A:

Q: y dx *1+x²y², 2у 1 + x?y?/ |dy 2х +

A: The detailed solution is given below Thank you 

Q: L:(sin x – 1) dx + ,cos x + 1) dx =? c)-1 а.) -89 b.) -91 d.) - (1 +)

A:

Q: If f(x)dx = 5, f(x)dx = 2, and f(x) dx = -1, find f(x)dx. %3D %3D %3D ... А.) —2 В.) 2 C.) -3 D.) 3 ...

A:

Q: Given the differential equation y" - 8 y' + 16y 7x e* And the Solutions to its Characteristic Equati...

A:

Q: (b) What is the average rate of change in the size of the tumor during the first two months? Round y...

A:

Q: Find all the second-order partial derivatives of the function f(x,y) = 4x2 + 9y + 7x2y?.

A:

Q: Find all the values of a such that the given series would converge. (x – 1)" n( – 6)" The series is ...

A:

Q: 1 k + 2 k=4

A:

Q: In Problems 35-40, find f' (x) and the equation of the line tangent to the graph of f at the indicat...

A: Given query is to find the equation of tangent line.

Q: Sm(e*)dx = 6? ¿9 =: What is the value of a so that A.) 0 В.) 1 C.) 2 D.) 3

A: We have to find the value of a

Q: 17. A boat is being pulled toward a dock as shown in the figure. If the rope is being pulled in at 3...

A: Follow the procedure given below. 

Q: Question 4 of 10 2 -10-8 -6 -4 -2 2. 4. 6. 10 -6 -10 y 10 4 -10 -8 -6 -4 -2 2 4 6 8 10 -6 -8 10 y 1...

A:

Q: Question 12 dy If dx and y = when x = 1, find y(2). %3D V3x-2 2 (A) 27 40 B) 27 27 26 27

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 - 9x² –...

A:

Q: 1 -x' dx (6х +5)*

A: Note: -Since you have asked multiple question, we will solve the first question for you. If you want...

Q: b. Let g(x) = x² – 7. Determine the root(s) of g. 7,-7 Preview 7 = 7., – 7 = -7. c. Let h(x) 5x? - 3...

A: Topic = Algebra

Q: A child is on a swing. At its highest point, the swing is 5 feet above the ground. At lowest point, ...

A:

Q: What is the value of a so that In (e") dx 6? ... A.) 0 В.) 1 C.) 2 D.) 3

A:

Q: Question 1 If f(x)dx = 5, Lf(x)dx = 2, and fi f(x) dx = -1, find f(x)dx. ... А.) —2 В.) 2 С.) —3 D.)...

A: ∫ab f(x) dx =-∫ba f(x) dx ∫ab f(x) dx = ∫ac f(x) dx +∫cb f(x) dx

Q: = kx³y? - ? %3D What is the value for k when DE is an exact equation? (2x* + sine(y)) dx -2 4 -4

A:

Q: A. Evaluate the given limits. 1. lim 0 X-1

A: Topic = Limits

Q: 5dx 5. If f 4 8 +1 = 2-, what is the value of b? a.) 2 b.) 4 c.) 8 d.) 9

A: We have to find the value of b

Q: In 2018, the population of a town was 20, 693 and growing at the constant rate of 56 people per year...

A: Given, Population of town in 2008= 20693 Rate of growth= 56 people/year  

Q: (a) Different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find t...

A: Follow the procedure given below.