Parabolas with axis parallel to the x-axis. Ans. y'y"-3(y")=0

Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

A:

Q: 26.The derivative of a sum is the sum of the derivatives. AEalse. B.True

A:

Q: Evaluate the following limit or state that it does not exist. (Hint: Identify the limit as the deriv...

A:

Q: Based on the graph of f (x), find the following: Note: If the f(a) and lim f(x) does not exist write...

A:

Q: 5. Law of Cosines to find the remaining side(s) and angle(s) if possible. A) BB = 72°40', c = 16m, a...

A: Let's find. 

Q: lim (In 2x + 5) + 4 r→-1

A:

Q: The equation of the Family of Parabolas with vertex (h,-3) and it opens to the left is

A: We use the equation of the parabola when open the left and vertex are (h,k) is (y-k)2=4a(x-h)

Q: dx 3. (a) Evaluate S (b) Evaluate Jo x²-6x+10' 1+sin x 1 dx

A:

Q: S sin(1 – 2x)sin(2x + 3)dx

A:

Q: •2 .5 dx

A: As per the guidelines we are supposed to answer only one question at once. Kindly repost the remaini...

Q: The equation ? + sin(xy) + C = 0 is the general solution of O y' + cos (xy) = 2 (x + y) 2 (ydx + xdy...

A:

Q: SOLUE THE DIFFERENTAL EOMATION 3. D(D + 7D + 19D + 13) y = 0 %3D 11 when x =0,Y=D0,y'=4,4"- -10 find...

A:

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer Find the 4...

A: y=6x5+3x4-2x3+5x2-8x+9Differentiate w.r.t.xdydx=6.5.x4+3.4.x3-2.3.x2+5.2.x1-8+0         ddx(xn)=n.xn...

Q: Eliminate the arbitrary constants y = x2 + ax + be-*

A: We have to eliminate the arbitrary constants y = x2 + ax + be-x

Q: Determine whether the integral converges or diverges. Evaluate the integral if it con- verges. d.x x...

A:

Q: . Separation of Variables: x(y+1)dx+ 2 dy = 0

A: Given: xy+1dx+yx2dy=0   We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C; n≠-1 And ∫1ax+bdx=1aln...

Q: dx 5. Evaluate J 9-4x² eax dx 6. Evaluate f 1+e6x dx

A: topic - indefinite integral

Q: A ball is thrown in the air from the top of a building. Its height is given by s(t) = –0.6t² + 36t w...

A: Let s(t) denotes height of an object at any time t. Then velocity of this object at any time t is gi...

Q: 6. CosX cot?x-cosx -0 cosA (cod 3x -)= coskcotX +D Crotă-) =0 cotx+l=0 cot x= -| tan=l-1 cotx-1=o co...

A:

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

A:

Q: 3. sin 3z cos 5z dr

A: Here we have to evaluate I=∫sin3xcos5xdx

Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

A: 7). Given: D4-81y=0 So, The auxiliary equation is: m4-81=0

Q: cm/ min when the height is / m. The height is changing at a rate of (Type an exact answer, usingn as...

A:

Q: 9. lim e 10. lim e* x+00 x00 sin 6x 11. lim 5*+6 12. lim x+00 1 13. lim COS X 14. lim e -3x+4 4x+7 1...

A: These questions are related to limits, we will solve them using given information. 

Q: Find the x-value(s) where the graph does not have a derivative. The x-value(s) where the function do...

A: Given: There is a sharp point at x = 1. So, the function is not differentiable at x = 0.

Q: dy Find for the following function. dx 5 cos x y = 1+ sin x %3D dy %3D dx

A:

Q: Choose a number and apply the following operations to it. Multiply the number by 12, and subtract 8 ...

A:

Q: f(x)= 5.738e0.287x By inspecting the graph of an exponential function, find the following. Note: Rou...

A: The given function is: f(x)=5.738e0.287x Using the graph answer the questions about limit values of ...

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A:

Q: . Separation of Variables: x(y +1)dx+ 2 dy = 0 .

A: To find solution of differential equation using variable separable method.

Q: A $9000 investment earns 4.6% annual interest, and a $5000 investment earns 8.7%, both compounded co...

A:

Q: Suppose that you are told that the Taylor series of f(x) = x*eª´ about x = 0 is x10 + + 2! 3! + Find...

A: Given the Taylor series of f(x)=x4ex2 about x=0 is x4 + x6 + x82! + x103! + x124! + ⋯   We know that...

Q: The intersection of the two planes given by the vector equations r. 1 = 0 and -2 2 = -3 r. is a. a p...

A:

Q: I.TRUE or FALSE: Read carefully the statements below. Choose A if the statement is ALWAYS TRUE, othe...

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other...

Q: Use the equation = E x" for |x| < 1 to expand the function , in a power series with centerc 0. 3-x (...

A:

Q: -2x y = Ce 2 + Cze*

A:

Q: 8. The differential equation (2x-xy-2y+3}dx-(x*y+2xkty = 0 is exact because ÔM ON

A:

Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is

A:

Q: 13. (a) State the definition of the derivative of a function as a limit. (b) Use the definition abov...

A: First we define definition of the derivative of a function as a limit then find f'(x)  Equation of t...

Q: Tell if the function is continuous at given interval f(x)=; 2x +4 |-2,2]

A:

Q: 1.0 1,6 -6 6 -6-

A:

Q: The projected population of a certain ethnic group(in millions) can be approximated by p(t) = 38.96(...

A: 1. p(t)=38.961.017t, where t=0 corresponds to 2000 Note:    multiple questions are given we are answ...

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

A: Slope amd tangent line 

Q: Elimination of Arbitrary Constant: y = Ax + Bx+C, A and B are constant, C is a parameter

A: We want to eliminate the arbitrary constants. 

Q: 5. Let, f(x, y) = V5x5y – x²y3 (a) Find the slope of the surface z = (b) Find the slope of the surfa...

A:

Q: da Evaluate x² V4

A:

Q: Determine the critical points of f(x) = x^2+8x+ 10 and apply the Second Derivative Test to find the ...

A: Critical points are points where the function is defined and its derivative is zero or undefinedGive...

Q: 8. A cardioid is a heart like shape that you learnt in Math 140 when learning to plot using polar co...

A:

Q: Differentiate the following implicit equation for y(x) with respect to x: x* + a?y? – y4 = 4 2.2 %3D...

A:

Q: Constants: A and B B cos(wt + A)

A: Differential equation  Elimination of arbitrary constant