Solve for æ in terms of k. log5 x + log5 (x + 6) = k. g₂ (x² + 1) - you might be using an incorrect one. Find a ifk = 2. x = Submit Question -6+√6² +4.5k 2 syntax error. Check your variables

Q: -ydx + (x + √√xy) dy=0

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

Q: What is the symmetry of f(x) = 2x4 - 5x² +9? Select one: a. odd b. neither O C. even

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

Q: 5. What is the domain of the function h(x)= 11 X x 2 1 ?

A:

Q: : Find the orthogonal trajectories of the family of curves y4 = kx³. (A) 2y³ + 3x² = C (B) 2y³ + 2x²…

A:

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Given,           fx=x2-x4 ; x=1To find : Find f'x and find the equation of the tangent line at the…

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A: NOTE: Refresh your page if you can't see any equations. . Rolle's theorem is  If a function f is…

Q: Choose the gradient of the function \(f\) defined by f(x y) √1 (4x 5y)². O None of the others 4x+5y…

A:

Q: A farmer has 2,400 feet of fencing and wants to fence off a rectangular field that borders a…

A:

Q: The minimum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is not equal to…

A:

Q: The half-life of cobalt 60 is 5 years. (a) Obtain an exponential decay model for cobalt 60 in the…

A:

Q: Find the lim inf (xn) and lim sup (xn) of Xn=3-(-1)"

A:

Q: Sketch the region R of integration and then switch the order of integration for the following…

A:

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). V = (0, 12) a= b =…

A:

Q: Without using a calculator, for the following, determine the definite integral that represents the…

A: Here, the given curve is r=3-4cos θ. The graph of the curve is: To find the area of the shaded(red)…

Q: 6. Find the area of one loop of the polar curve r = 2 sin 30

A:

Q: A differential equation y" - 3y + 2y = 0 with y(0) = 1 and y(1) = 2 is Select one: O a fourth order…

A:

Q: SPA 32 Select one: True ● False dx dy = 13 2

A:

Q: 4. fxcosxsinxdx by parts

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: Find the absolute extrema of the function on the closed interval. f(x) = 7x² + 2, [-1, 2] -(0,2…

A: The answer is given below:

Q: The gradient vector of the function f defined by f(x,y)= In(1+7x² +5y²) is equal to Select one: O…

A:

Q: Choose the value of the iterated double integral 1=₁6ydxdy. 0 0-2 O -1 0 1 I 02 O None of the others

A: This question is based on double integration.

Q: Evaluate F F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to…

A:

Q: please both

A:

Q: What is the equation of the plane through the point (4, -2, 3) and parallel to the plane 3x - 7z =…

A:

Q: The normal vector to the tangent plane for the surface xy² z³ 2 3 = -4, at the point (1, 2, -1) is:…

A:

Q: 27. A function on [0,2] defined by f(x) = -x² |5x – 4 4x³ 3x (3x + 4 - if x ≤ 0 if 0 < x≤ 1 1<x<2 if…

A:

Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q 25- 20- 15- 10- 5- y…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: Name the type of basic curve that the following pair of equations represents: x = 2 cos(3t), y =…

A:

Q: The double integral √ √ ₁ (3. R (3x² + 2y), where R = [1, 2] × [-1, 2] is equal to Select one: O 18…

A:

Q: If f(x) = = ∞ n=0 n ∞ -2” and g(x) = Ỹ ( − 1)" mæª, find the power series of(f(x) – g(x)). n n=0 Σ…

A: The objective of the question is evaluate the sum of two series.

Q: Q2) [ Given the function f(x,y)=x²-6x+y²-6y+8 a) [ Find all critical points of f. b) Find the…

A:

Q: Question 2 [" a. Find the critical points of the function f(x, y) = 6x² − 2x³ + 3y² + 6xy. b. s]…

A: Given :fx,y=6x2-2x3+3y2+6xy

Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact…

A:

Q: Without using a calculator, find the distance traveled by a particle with position (x, y) as t…

A: The distance travelled by the particle is the same as the arc length as varies within the interval…

Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

A:

Q: Find a vector-valued function whose graph is the indicated surface. The plane x + y + z = 2 r(u, v)…

A: Given plane    x+y+z = 2                 this gives   z = 2-x-y            Now, let  x=u    and…

Q: Maximum Revenue Jesaki Electronics manufactures and sells a smartphones per week. The weekly…

A: NOTE: Refresh your page if you can't see any equations. . the demand and cost functions are where…

Q: 1a) Convert the Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0 to polar coordinates. 1b) Use a…

A: By using the following substitution we can convert the Cartesian equation to polar form. x²+y²=r²…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [e³ 34x dx =…

A:

Q: :/F. F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify…

A:

Q: Find the derivative. F'(x) if F(x) = (ex² -3) 2² F'(x)=

A: use the natural log both side for finding the F'(x).

Q: Let y₁ = e³x and y2 = xe³x be solutions for a homogeneous DE. Then, is also a solution to the DE.…

A:

Q: Find f'(x). f(x) = (9-3x) 14 f'(x) =

A:

Q: The shape of a colony of bacteria on a Petri dish is circular. Find the approximate increase in its…

A: topic- application of derivatives

Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q -5-4-3-2 25- 20- 15- 10- 5-…

A:

Q: 1. Evaluate the following: (ª) [e² (√π +6³) d dx

A:

Q: 4. Determing whether the following series are absolutely convergent, conditionally convergent, or…

A:

Q: The value of the integral Select one: a. 2√2+1 3 b. None of these c. 2√2-1 3 2V/2 d. e 1 2 [²C x√√y…

A: Evaluating the definite integral