Please show your complete solution and write readable thanks. 1.) Determine the nth term of the geometric sequence with first term a1 and common ratio r. Find the indicated term or sum.

Q: Determine if the differential equation (2xy^3 + e^x) dx + (2x^3y^2 + e^y)dy = 0 is exact. If the…

A:

Q: Solve (3x² + e²v) dx + (2xe ² − 4y) dy = 0 2y A B x² + xe²y = 2y² = C 2y D x³ + xe ³y - 2y³ = C 3 3y…

A:

Q: 3. Using the triangle below, if sin 0 = x then 0 = sinx. Fill in the missing side using the…

A: Pythagoras Theorem ⇒Hypotenuse2=perpendicular2+Base2

Q: The current population of a certain bacteria is 4538 organisms. It is believed that bacteria's…

A:

Q: F(x)=2x+1, g(x)=x+3, and h(x)=x^2-3x+4 (fg)(x) =? Please list the steps thank tou

A: Given query is to find indicated function.

Q: Find the limit, if it exists, or type N if it does not exist. (Hint: use polar coordinates.) 9x³ +…

A:

Q: e. +-5 +-4 + −4+-9 ,sia6

A:

Q: a,= 3 4 1 r=-1 2 · 91 = ?

A: Let's find nth term fomulas.

Q: 16. Find the "complete" factored form, including the leading coeffi polynomial, g(x), shown in the…

A: We have to write the complete factor form including leading coefficient of 6th degree polynomial…

Q: The charge for a taxi ride in New York City is $3.00 for the first 1/4 of a mile, and then $0.40 for…

A: cost of ride c=3+1.6(m-14)

Q: Solve the problem. 2) The graph of y = f(x) in the accompanying figure is made of line segments…

A: derivative of f is slope of graph   slope from ( -5 , 0 ) to ( -3 , 2 ) from  -3 , 2  , 0, -1…

Q: 2. The radius of a right circular cylinder is increasing at a rate of 2 inches/min and the height is…

A: r= 8 inches, h= 12 inches, dr/dt= 2 inches/min and  dh/dt= -3 inches/min

Q: 5.[(2√x -3x)² dx

A: Given, ∫2x-3x2 dx

Q: When hired at a new job selling jewelry, you are given two pay options: Option A: Base salary of…

A:

Q: The volume of a right circular cone of radius a and height y is given by V = dy dx volume of the…

A:

Q: ∞ k Στα 100 k=1

A:

Q: Could please answer questions 3A-3D thanks

A: Since you have posted a question with multiple sub-parts, as per company guidelines we will solve…

Q: Let f(x, y, z) = xy + z³, x = r + s − 8t, y = 3rt, z = s². Use the Chain Rule to calculate the…

A: The given function fx,y,z=xy+z5, x=r+s-8t, y=3rt, z=s7 We have to find the partial derivatives ∂f∂r…

Q: In solving the differential equation x dx + secx sin y dy =0, the following transformation took…

A: Let's solve given differential equation.

Q: lotes f(u) = eª cotu

A:

Q: Equations of Order One: Separation of Variables Instructions: Obtain the general solution of the…

A: Explanation of the answer is as follows

Q: Find the standard and general equation of the parabola which satisfies the given condition.…

A:

Q: At time t, the position of a body moving along the s-axis is s= -1³ +15t²-72t m. a. Find the body's…

A:

Q: c. f(x) = 2* ln(x³ - 8)

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

A: We need to find polynomial.

Q: Let f(x) = 7.3x² - 2.4ï. Using the formula, m = f(x+h)-f(x) h tangent line on the graph of f(x) at x…

A:

Q: Brain Teaser: A tetrahedron has three mutually perpendicular faces and three mutually perpendicular…

A: Put the tetrahedron face down on the xx-yy plane. For definiteness, put the point where the mutually…

Q: Equations of Order One: Separation of Variables Instructions: Obtain the general solution of the…

A: xy3dx+ex2dy=0

Q: 3. h(x) = 4x² + 4x + 3;h(x) = 0

A: Explanation of the answer is as follows

Q: 15. Find an equation of variation in which y varies directly as x, and y = 1.5 when x = 0.3

A: Topic = Algebra

Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

A: Concept: Function: The relation is not a function if the X-value contains any repeats or duplicates.…

Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

A:

Q: ds The accompanying figure shows the velocity v=== = f(t) (m/sec) of a body moving along a dt…

A: The accompanying figure shows the velocity v= ds dt f(t) (m/sec) of a body moving along a…

Q: y X X 250 200 150 VA 100 50 -50 -100 Based on the above graph of f(x), determine the number critical…

A: Consider

Q: Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley P. 12ft I 0 00 @…

A: x= 5 ft  dx/dt= 4 ft/sec

Q: Suppose f(x, y) = xe -8x²-8y² Answer the following. 1. Find the local maxima of f. List your answers…

A: Detailed solution is given below

Q: Find the slope of the tangent line to the curve - 1x² + 2xy + 3y³ = - 108 at the point (3, 3).…

A:

Q: 3) [x csc (4)-y]dx + xdy-0

A:

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

A: To use the limit definition of derivative to find the slope of the tangent line to the below curve…

Q: f1x) = 2/x (2₁1)

A: Given fx=2x and point 2, 1

Q: Find the directional derivative of f(x, y) = ln(xy) at (,) in the direction of .

A:

Q: Find the General Solution and the Particular Solution to the following differentia tion: dy dx -…

A:

Q: If z is a function of x and y satisfying the equation yzArctan (2x) - r²e² = y, find the following.…

A: Let's find partial derivative by using chain rule.

Q: Determine the domain of the function algebraically (use algebraic methods, not a graph). Give your…

A: The function is given by fx = 29-4x+1 To evaluate: The domain of the function algebraically.

Q: Differentiate 5* sec (e*).

A: Given query isto find the derivative of the function.

Q: II. Determine whether f(x) = x 0 is differentiable at x = 0. (Hint: Replace [x] with the appropriate…

A: x is the greatest integer less than equal to x.Then for differentiable of a function f(x) at the…

Q: Calculate each of the following approximations for ſo 5(1 – e-²x) dx. LEFT(2) = RIGHT(2) = TRAP(2) =…

A:

Q: Determine the length of the curve traced out by the vector function r(t) = (cost, sint, 4t) on the…

A:

Q: dy + (2xy - x√y) dx = 0

A:

Q: By definition, (fog)(x) = f(g(x)) v . So if g(2) = 6 and f(6) = 17, then (f o g)(2)

A: The given values are g(2)=6, and f(6)=17 We have to find the value of f∘g2