If the brakes on a car give the car a constant negative acceleration of 2k m/s?, where k is a positive constant. What is the greatest speed it may be going if it is necessary to be able to stop the car within 25 meters after the brakes are applied? 10 m/s 5k m/s 20 m/s VE D 25k2 m/s

Q: QUESTION 6 cos2x – sin2x cos2x For -dr= -F(x)+C What is F(x)? cosx – sinx 3 cscx – secx) 3 1 (sinx –...

A:

Q: What is the integrable form of sin-cos-sino do? 2 2 (A) Vu?-1 du 1- u² du -2/ sinu du D cosu du

A:

Q: sinx sinx +x The integral / COSx - e te e sinr equal to zero. Evaluate m +n+p+q+r. dx may be written...

A: We will solve the integral and find the sum. 

Q: 3. Show that among all rectangles with an 8 meter perimeter, the one with the largest area is a squa...

A:

Q: Find the area of the region bounded by the curve y?=4x and the lines x = 1 and x = 4.

A:

Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

A:

Q: The graph of a function is given. y 1.4 0.6 0.2 For which x in the range shown is the function incre...

A: Function is said to be increasing if slope of graph in that range is positive and for decreasing fun...

Q: dx -= In[F(x)]+C. What is F(/3) if C= 0? For (x+x³) (x Tan-!x+1) (A

A: We will integrate first then find F(x).

Q: Solve the given system by elimination method. 5x+2y+4z=0 2x-y-2z=0 5x+3y+6z=0 Is the linear system h...

A:

Q: Find the area of the region bounded by the curve y2= 4x and the lines x = 1 and x = 4. O 21/2 square...

A: Here is the solution

Q: What is the distance between the points (1, -2, 0) and (4, 0, 5)? 38 48 58 28

A:

Q: et What is the integrable form of dx? e* - e -X A) du B) du (c) и?—1) 2 du D [(1-u?) du

A:

Q: Find the area bounded by the curve y=4x, the lines x 1 and x=4. sq, units 2. 63 sq. units 56 sq. uni...

A:

Q: Question 5 of 6 Determine the speed along a parameterized path s(t) = (2t°, 2t2) at time t = 9 (assu...

A:

Q: The slope of the tangent line at any point (x, y) on a curve is 2A If the point (9, 3) is on the cur...

A: we can obtain the equation of curve by forming a differential equation . we know that the slope of t...

Q: Question 16 4 dx Evaluate Зх — 12 A - 00 B 1 00 D

A: We have to find solution

Q: dx = In[F(x)]+C. What is F( /3) if C = 0? For (x+x³)(x Tan-!x+1) 1 (A 1 (B 6. 1 V3 1 D + -15

A:

Q: Find the exact area of the surface  z = 1 + 2x + 3y + 4y2, 1 ≤ x ≤ 9, 0 ≤ y ≤ 1.

A:

Q: A house was valued at $105,000 in the year 1992. The value appreciated to $175,000 by the year 2006....

A:

Q: of cos 2 2 sin 0) de has the form 1 -F 4 sin lue of 0 to make F(0) =0?

A:

Q: What is the integrable form of sin-cos-sino de? 2 2

A: Integration

Q: cos2x – sin2x cos2x - -F(x)+C. What is F(X}? For dr =- 3 cosx – sinx -

A:

Q: (a) Use any method to estimate the slope of the tangent to the graph of the given function at the po...

A: Follow the procedure given below.

Q: 10* -dx may be written as A lnl secR+ tan R+ C, where A, B, and C are constants not equal to zero. E...

A:

Q: sin-cos-sino de has the form - 2 The resulting integral of + C. What should be the value of 0 to mak...

A: To evaluate the integral ,use the following trigonometric formulas.

Q: Which of the following integrals is equal to (3x-5) dr if u= 3x-7? 1.

A: The given integral,      ∫123x-5dx

Q: The cost of producing x bags of dog food is given by C(x) = 500 + V 100 + 50x – x where 0sxs5000. Fi...

A: Given query is to find marginal cost function.

Q: cos10* 15 -20 O 20 ьооо о

A:

Q: The integral of the function below may be written as men sin(x) + px + qe"x + C. Where m, n, p, q,r ...

A: First we solve integral . Follow step 2nd . 

Q: Make a problem solving question with full solution regarding area of circle. Include a graph, diagra...

A: Let's  find maximum  area a  cow ? can graze  for above problem.

Q: Find the lim of the given funct: r-y-1 lim(a,y)(2,1) No answer 1 4 2.

A:

Q: 10* -dx may be written as Aln secB*+ tanB*|+C, where A, B, and C are constants cos10* not equal to z...

A: We will do this question by integrating the given integral and comparing it with the given expressio...

Q: The resulting integral of sin -cos-sin@ do has the form --F(0) + C. What should be the value of e to...

A:

Q: 1 Find the area of the region bounded by the curve y=1--x² and the x-axis. А 8 square units 6 square...

A:

Q: sinx sinx +x Cosx - e + The integral dx may be written as nsinx те +px + qe* +C. where m, n, p, q, r...

A:

Q: (2– sec?x) eln czle). sec (3A – x) sec³x -dx to hat should be the value of A for be integrable using...

A: we have to find the value of A. 

Q: Which of the following integrals is equal to the integral / s(3x- 5) dr? S' f(2) dz (2) dz 7/3 s(2) ...

A: By method of substitution, we need to evaluate :  

Q: If F(X) is an antiderivative of x2 +x', then what is the value of F(1) - F-1)? (А) -2 В) -1 D) з

A: Given: F(x)=∫x-2+x-1dx So, by the Fundamenetal theorem of calculuas: F(1)-F(-1)=∫-11x-2+x-1dx Now, i...

Q: cos2r- sin2x cos21 =-F(x)+C What is Fx)? =xp For COSX – sinư A 2. --cos 'x- cosT+-sin't 3 cos'x sinx...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: hich of the following integrals is equal to the integral / f(3x – 5) dx? s(2)dz 7/3 s(2) dz 2. 7/3 s...

A: Rewrite the integral.

Q: Question 20 Which of the following is an improper integral? In(x4+1) dx -1 In3e COSX dx xe dx -4 x2-...

A: solution

Q: Find the area of the region bounded by the curve y=1--x² and the x-axis.

A:

Q: Which of the following integrals is equal to the integral (3x-s) dr? 7/3 A |dz 713 B D

A: Please see the answer below.

Q: b d +-x" + C. What is the value of the sum a The general antiderivative of (3x2 – 4) 2x2 can be writ...

A: The general antiderivative of (3x2-4)2x2 can be written as (a/m)xm-(b/n)xn+(d/p)xp+C.  Now we have t...

Q: The antiderivative of f (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies the proper...

A:

Q: Vhich of the following integrals is equal to the integral f(3x - 5) dr?

A: Use simple integration concept.

Q: Find the area of the region bounded by the curve y=1-–x2 and the x-axis. O 6 square units O 4 square...

A:

Q: Which of the following integrals is equal to ( 3x – 5) dx if u=3x – 7? (A (u) du / (u+2) du B © :/ (...

A: We know by properties of definite integrals, if a-b=(p-q)/m then, ∫baf(x)dx= 1/m * ∫qpf(x)dx  

Q: The general antiderivative of (3x2-4)2x2 can be written as What is the value of the sum of a+b+d+m +...

A: Given :   (3x2-4)2x2

Q: Which of the following integrals is equal to the integral f(3x- 5) dr? -2 7/3 f(2) dz |dz 7/3

A: We have to change the integral limits by substution.