Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. Directrix: x = -8

Q: 12. Given the graph of y = f(x) below, which of the following best represents the graph of y = (x +3...

A:

Q: Using the definition f continuity justify X-Values where the funcion is not continur 7) fus = %3D if...

A:

Q: Write out the form of the partial fraction expansion for the following functions. Do not determine t...

A: Solution of above question is written in below steps.

Q: (5x+sin3(4x) + sin(4x³)) dx

A: use differentiation for finding the solution.

Q: Let f(¤) Find the values of a where f'(x) 3. Give exact answers (not decimal approximations). The gr...

A:

Q: x² +4x-12>0

A: Solve the inequality, and write the solution using interval notation . x2+4x-12>0   

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms and radi...

A:

Q: Let M(r, y) = y – cos y and N(r, y) = x sin y. Use the Green's Theorem to calculate the line integra...

A:

Q: 2x?+2х+1 15. f (x) = 5х3 +3х-5

A:

Q: The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the population is...

A: Given:- The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the popul...

Q: A spring has a rest length of 13 inches and the spring constant is K 1.5. Haw much work is done stre...

A: We are asked to find the work done of the string

Q: Let f(r) Find the values of x where f'(x) = 7. I + 8 Give exact answers (not decimal approximations)...

A: We will find the solution of given function as shown below

Q: V150 =O (Type an exact answer, using radicals as needed.) Simplify by factoring. %3D V150

A: As we know that; The radical rule: (1). a2=a ; a≥0 (2). ab=ab ; a≥0, b≥0 Given: 150

Q: d (ae dx 3lnx 3x -

A:

Q: Find the volume of a solid obtained by rotating the region under the graph of the function f(x) = :3...

A: We are asked to find the volume of the solid.

Q: 15T 1) tan 4 10T 3) cos 3 11n 5) cot – 6. -

A:

Q: 196 The number is because it be expressed as a ratio of two integers.

A: Given number is    196

Q: Use the simple Euler method with step size h = 0-1 to obtain the approximate value of y(1-5) for the...

A: Given step size = 0.1dy/dx = xy1/2y(1) = 4We will find the approximate value of y(1.5) for the solut...

Q: ) A metal component is subjected to heat-treatment called normalisation. The component is eated to a...

A:

Q: Perform the indicated operation. 6/27 - 9/75 The answer is (Type an exact answer, using radicals as ...

A:

Q: x = 3.61 E-6 (A) What is the equivalent decimal number? O-3.61 0.000361 O0.0000361 O0.00000361 (B) R...

A:

Q: 1. What is the volume of a cube whose edges are (4a + 3) cm in length? A. 64a³ – 48a² + 36a − 27 ??³...

A:

Q: 3-1t 4.) Iim 5x-4メト! 入ーレ Atuメ-X 5) メー3 メー0 2入+ (4x

A: NOTE: Refresh your page if you can't see any equations. . divide by x2

Q: Sketch the region that corresponds to the given inequalities.

A:

Q: The function f(z) = 3 is represented as a power series 1- 4x 00 f(x) = Σ Cna". 0=t Find the specifie...

A:

Q: Find the derivative with respect to x of f(x) = 2(x + 5)* + 3(x + 5)° + (x + 5)² + 4.

A: The given function, f(x)=2x+54+3x+53+x+52+4

Q: What is the absolute maximum and the absolute minimum of the function f(x,y,x) = x2 + y2 + z2, subje...

A: A detailed solution is given below. We can use Lagrange's multiplier to solve the problem.

Q: Three times a number is two or more than twice the other. If the sum of the numbers is nineteen, wha...

A:

Q: Question 18 Which of the following statements is TRUE? Select ALL that apply. O log, log,(r) – log,(...

A:

Q: In the adjoining figure u and V are unit vectors. Evaluate the following and input your numerical an...

A:

Q: Let f(x) tangent line to the graph of f(x) at the point (0, 0) is = 6x + 15 – 15e". Then the equatio...

A: The given curve is: f(x)=6x+15-15ex

Q: 10. Consider the poly (1, 2), (2,3) and the coefficients fo

A:

Q: Use logarithmic differentiation to find the derivative of y. 22) y = 1 B) - |(Inx - In(x - 7)) D) X-

A:

Q: Perform the indicated operations. Simplify the answer when possible. 2/32 +5/50 - 3 18

A: Simplified

Q: 4. Find the exact arc length over the interval. from x = 2 to x = 3 16x2 a. x = b.x =y* from y = 1 t...

A: As per the bartleby guidelines when student post multiple question we have to solve first one.so, i ...

Q: ∫pi/6pi/2 cot2x dx

A: ∫pi/6pi/2 cot2x dx

Q: Evaluate y* dV, where E is the solid tetrahedron with vertices at (0,0,0), (2,0, 0), E (0, 2,0), and...

A:

Q: (2) The number of women in the workforce, based on data and projections from 1950 to 2050, can be mo...

A:

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex a...

A: We use the general equation of left opening parabola y2=-4Ax and solve it.

Q: At what point do the curves r (t) = (t, 2 – t, 24 + t²) and r2(s) = (6 – s, s – 4, s?) intersect? %3...

A:

Q: Evaluate the following integral by using method of substitution: 1/ (1+9x^2) dx Limit: 0 to 1/√3

A: NOTE: Refresh your page if you can't see any equations. . substitute  ............put it back in ...

Q: a) cos -1 V3 b) V3 sin- c) cos cos d) sin sin- 4 cos cos 2

A:

Q: Compute the directional derivative in the direction of v at the given point. S(x, y) = xy' – x, v=i-...

A:

Q: Which integral would represent the area shown? AY 1.5 1+ 0.5- 0.5 1.5 2 o xd x o 2xd x x³dx 2.

A: Topic = Area

Q: Use integration by parts to evaluate the integral: sin(In(9x))dx 1 x(sin (In)(9æ))– cos(In (9x)) + C...

A:

Q: 3入+3 >4 ) Shetch the qraph of a function f whose domain fs as lase as ssile' and satisliesa lim \im ...

A:

Q: Find y'. 4) y = (5x3 + 5)(5×7 .7) A) 250x9 + 175x6 - 105x2 C) 20x9 + 175x6 - 105x2 B) 250x9 + 175x6 ...

A: The function is given by y = 5x3+55x7-7 To evaluate: The expression of y'

Q: Find the solution of the following initial-value problem d?y, dy dy + 4y = e", y(0) = 1, (0) = 2 dr ...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliar...

Q: Find lim Itcos 2X メ 니(x- 폰) 2

A:

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with (A 3...

A: Given y'' = x  and the curve passes through (1,2)  with a slope of 5/2. which means y(1) =2, y'(1) =...