Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. Vertical axis and passes through the point (7,9) 49 a. 2 x² = 36Y b. OC. d. e. 49 y² = 9x 49 y² = 36x y² = X x² = 49 gy

Q: Find r(t) u(t). r(t) = (3-7)i + +³1+ j+ 4k u(t) = t²i - 8j + t³k r(t) u(t)= Is the result a…

A:

Q: MTH 32 (13) Define the Inverse Tangent function (or the art and explain the --- MTH 32 (8) For b> 1,…

A: 8. As per Bartleby guidelines for more than one question asked only one is to be answered please…

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: Given figure:-

Q: Use Theorem 7.1.1 to find (f(t)). (Write your answer as a function of s.) f(t) = (t + 1)² 2(1(0)) =

A:

Q: Find the area of the region common to the circles r=-6 sin 9 and r= 3.

A: answer is in next step. please give a like !!

Q: Solve the equation on the interval 0 ≤0<2 cos (30)=1 MAN What are the solutions to cos (30) = 1 in…

A: Solve the trigonometry equation

Q: If sin z 8 , x in quadrant I, then find (without finding x) 9 sin(2x) = cos(2x) = tan (2x) =

A: NOTE: Refresh your page if you can't see any equations. . . use the formula

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: The given function is: fx=x4-5x3   As we know that; If f''x&gt;0, then we get the interval where the…

Q: a.      A scaled version of shape A was needed, such that its new coordinates become (-2,8) (8,6)…

A: Given data: new coordinates become (-2,8), (8,6), (10,-4), (0,-2)

Q: y'+y=e-6 cos St, y(0) = 0

A:

Q: Find the specified term of the geometric sequence. 8 27 (10 81 = a₁: a₂ = 8, a5 =

A: To find the first term a1 of the geometric series.a1:a2=8, a5=827

Q: 4) A cylindrical coordinates equation for the cone z² = ²+1/² is: a. z² = 97² b. 9z=r c. 9z² = 7² d.…

A:

Q: Use the given information to sketch the graph of f. Domain: All real x, except x = -3; lim f(x) =…

A: From the given information: for x∈-∞,3∪(3, 5) , f'(x)&gt;0 limx→-3-f(x)=∞ and limx→-3+f(x)=-∞ The…

Q: 1 b) x 2. If f(x)=x(2 In x-3) Find f'(x) 24/mx-4x

A: #2 Given, f(x)=x22 ln x-3

Q: Parametric Equations X = 3t², y = 3√t 54m 12 Jse a graphing utility to approximate the integral.…

A: The solution is given below

Q: d/dx(y(x)) if x and y are related by the parametric equations x = t+sint, y = t^t

A: Given  equations x = t+sint, y = t^t

Q: Use the equation to find the initial population. Step 1 To find the initial population, substitute t…

A: NOTE: Refresh your page if you can't see any equations. . the given logistic function is

Q: Find the inverse Laplace transform of the given function. 7! (s — 5)8 NOTE: Express your answer in…

A: The give Laplace transform is Fs=7!s-58

Q: Exercise 2. Plot the graph of the function given in polar coordinates tanh 0-1 r = 2 Write analysis…

A: Given: r=2tanθθ-1since θ&gt;1(radians)

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = t³i +…

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

A:

Q: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: A mass weighing 32 pounds stretches a spring 2 feet. Determine the amplitude and period of motion if…

A:

Q: Complete the squares and locate all absolute maxima and minima, if any, by inspection. Then check…

A:

Q: Find div F and curl F if F(x, y, z) = x³i - 7j+yzk. div F= curl F=

A:

Q: Use the Laplace transform to solve the given initial-value problem. 2t y" - 3y' = 8e²t - 2e-t, y(0)…

A:

Q: 4. If x= sin² and y = 1 when x = 0, then find the value of x when y = 3. 0 O 8 None of these

A: Topic- differential equation

Q: Find the value of a necessary for there to be a local minimum at x = 2 for the function f(x) = -ax²…

A:

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: Given vector valued function:- rt=13t+1i+1tj Determine the interval(s) on which the given…

Q: Suppose that f(x,y,z)=(x,y,z)=2x+4y+3z at which x^2+y^2+z^2≤3^2 Absolute minimum of…

A: Please see the below picture for detailed solution.

Q: At the beginning of every three months, a college student deposits P3,000 in a fund that gives 2%…

A: Given:      Principal =$3000     Quarterly Interest rate =2%=2%4=0.5%=0.005     number of times n=3…

Q: 9. Given the function y = x^3 - 9x^2 + 15x - 3. Determine the coordinates of the point of…

A:

Q: Use the Quadratic Formula to find all solutions of the equation in the interval [0, 2π). (Enter your…

A: The general solution of cos θ = cos x  is : θ = 2nπ ± x , where n ∈ Z.

Q: Find the arc length of the graph of the function over the inc = √y(y - 3), 1 ≤ y ≤ 25 3 X

A: Arc length formula L=∫ab1+x'2dy

Q: y=x5 to f(x)= 5/96(x+2)(x-1/2)(x+1)3.   The mapping rule involves transforming the y=x5 table of…

A:

Q: Find div F and curl F if F(x, y, z) = 16yªz³i – 17x7zºj − 3xy¹k. div F= curl F=

A:

Q: The inverse forms of the results in Problem 49 in Exercises 7.1 are 2² (6-³) and s-a y(t) (sa)² +…

A: Given :y'+y=e-6tcos5ty0=0L-1s-as-a2+b2=eatcosbt and L-1bs-a2+b2=eatsinbt

Q: = " Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded…

A: By using cylindrical shells to find the volume of the solid obtained by rotating the region bounded…

Q: Question For the function f(x) = 5x + 2, it is given that f(x) f(x) dx = 102. At what value c does…

A: Here, note that the average value of the function in the interval [0,6] is given by: f=16-0∫06f(x)…

Q: Compute the values of dy and Ay for the function y = 22 + 4z given z = 0 and Az = e Round your…

A:

Q: A dead body was found within a closed room of a house where the temperature was a constant 65° F. At…

A:

Q: Use implicit differentiation to find y² + 8x³ = 3y - 4x² dy dr

A:

Q: Find the logistic equation that satisfies the initial condition. dy 11y y² (0, 44) dt 20 1440 Use…

A: The logistic equation that satisfies the initial condition. dydt=11y20-y21440, 0,44

Q: A fence is to be built to enclose a rectangular area of 450 square feet. The fence along three sides…

A: Given problem:- A fence is to be built to enclose a rectangular area of 450 square feet. The fence…

Q: 5. Solve the differential equation O 2 (3ײ–1³ e3 о 2 3x2-1 +C (3x²-1) Ce3 O None of these 1…

A:

Q: Recall that cos(bt) = = 1 -(eibt - e-ibt). Use the linearity of the Laplace transform to find the…

A:

Q: Use implicit differentiation to determine dy dr || given the equation xy + tan(x) = cot(y). dr

A:

Q: Suppose we have two insects that enjoy feasting on one another. Each of Insect 1 consumes 1.2 of…

A:

Q: 7 Find f(x) if f'(x)= and f(1) = 4. O A. f(x) = -28x-5 +32 -5-3 O B. f(x) = -28x 7 3 O C. f(x) = OD.…

A:

Q: Find the Laplace transform of sinhbt. Recall that coshbt = ebt L {sinhbt} L { sinhbt} O L{sinhbt} O…

A: