Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. ху %3D 63, (-9, -7) xp At (-9, -7): y' =

Q: Solve the system of equations for the intersections of the two curves ( 62² + 3y? = 132 l7y? – 2? = ...

A: We can list the coordinate of intersection point as below.

Q: Hew.3 Find dw and Dw when P=ty 9=4if- the de it W =Xy +y2+Zu +uV and x= Pa, y=4 tan P V = P+4+1

A: Given,           w=xy+yz+zu+uv and x=pq , y=qtan-1p , z=lnq-3p , u=q+5p ,           v=p+q+1To find :...

Q: 1. Market research for a certain ice cream company indicates that if the price per cup of ice cream ...

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

Q: Correct. Use the ratio test for absolute convergence to determine whether the series converges or di...

A:

Q: E(-1)» ("" – n)" 2η n=1

A: Using root test

Q: 1) Find limit 1. lim x-0 tan 3x x3+2x2-3x 2. lim x-3 x3-2x2-15x Vx+1-V2x 3. lim x-1 x2-x 1 4. lim- x...

A: Given

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. 357x dx хе ...

A: The integral is given by I = ∫xe357xdx                              ........1 To Identify: The expre...

Q: The height (feet) of an object launched in the air t seconds after launch is given by s = - 16t + 28...

A:

Q: Suppose that A, B, and C are vertices of a triangle and that a, b, and c are, respectively, the midp...

A: Given problem:- Suppose that A, B, and C are vertices of a triangle and that a, b, and c are, respec...

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use ...

A:

Q: Suppose that f is a function defined as f(x) = xª . drawn to the graph of f at x = 1. Use exact valu...

A:

Q: Let f(t) = cot(t). Then f"(1/3) is

A:

Q: Consider the function f() = 2r + 8 on the interval [-7, 5]. Find the absolute extrema for the functi...

A: Given: f(x)=2x+8, [-7,5]

Q: find The equation of the circle if its diameter has on end points of (6,1), (-2,3)

A: Solve by geometry

Q: +oo El-1)» (" – n)" 2" n=1

A: The given series to be tested is  ∑n=1+∞-1nπn-nn2n.   Here, we will use the Root Test: If series ∑n=...

Q: Use the limit comparison test to determine whether the series converges or diverges. 8k2 – 6k + 6 16...

A: On solving this we will get

Q: Use the linear approximation (1 + x)k = 1+ kx, as specified. Estimate 1.012.

A:

Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of ...

A:

Q: For the function f(x) =x -4, construct and simplify the difference quotient f(x+h)-1(x) The differen...

A:

Q: Find the first And 2nd derivative  F(x)= e^x sin4x

A:

Q: Calculate the definite integral of x^2 + 4x approaches from 1 to 3.

A:

Q: The hypotenuse of a right triangle is 100 centimeters. An acute angle is 64.8 degrees. Determine the...

A: For adjacent side we use cos function to get side length  Cos(64.8) = adjacent side /hypotenuse Adja...

Q: Problem 6. (The cross product project). The cross product for vectors in V is not associative, so so...

A:

Q: 2 The parabola y = x + 9 has two tangents which pass through the point (0, – 6). One is tangent to t...

A:

Q: consider the following  5^-x/50=9 a) find the exact solution of the exponential equation in terms ...

A:

Q: I did all steps just need help figuring out “The ball’s velocity at the above time is”

A: Please see the below picture for detailed solution. 

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A: Please find the solution

Q: the integral e** the integral S et3 dx is equal to: + C + C the above O the above eオ~3 + C -3ex + C ...

A:

Q: A small hole in a rubberized container allows of the air to 20 escape each second. What percent of t...

A: We have to find the percent of the air will remain in the container, 6 seconds after opening the hol...

Q: Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find B(t) att = ) =+ 4 B(t) B(t) %3D Option 1 Option 2 ...

A: This is a problem related to vectors. Based on the unit tangent vector method we will solve the give...

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given ...

A:

Q: Give a Taylor series expansion of f(x)=ln(x) and use its first 5 terms to approximate ln(7). Also, d...

A:

Q: Evaluate by any applicable method. dx 0 x4+1 None of the choices. Please refer to my solution. O tan...

A: We have to find solution of given integral.      

Q: 1-1 2. (-1)^- n=1

A:

Q: The derivative of the function 3+ln x y = cos(ln x) is: cos(In x)+sin(In x)(3+1n x) ui cos(In x)+sin...

A:

Q: 5. For this problem, you have to read and study the textbook pages 762- 763 about The Limit 00 8. Co...

A:

Q: Find the derivative of  (x + 1)³ / x

A:

Q: Is the sequence divergent or convergent? Explain and give the solution of the answer.

A: This is a problem related to sequences. Based on the general formula we will identify the nature of ...

Q: Write a polynomial f(x) that satisfies the given conditions. Polynomial of lowest degree with zeros ...

A:

Q: Evaluate the iterated integral. z sin(x) dy dz dx

A:

Q: Evaluate by any applicable method. 3 1 dx x2 –6x+10 4 None of the choices. Please refer to my soluti...

A:

Q: How far is the centroid of the area bounded by the curves y = e^x, y = e^-x, and x = 1 measured from...

A:

Q: Find the average value of f(x) = x²/35 + æ3 on the interval [0,1]. favg %3D Report all answers accur...

A:

Q: A producer of perishable product offers a wage incentive to drivers of its trucks. A standard delive...

A: We have to find the maximum time and maximum salary for the driver.

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. x3 + y3...

A:

Q: 5x? tan(x) Let f(x) : Find the following: sec(x) 1. f'(x)= 2. f'(3) = %3D

A: The given function is f(x)=5x2tanxsecx We have to find 1) f'(x) and 2) f'(3)  

Q: Find dy/dx by implicit differentiation. xby5 - y = x xp/Ap dy/dx = Need Help? Read It

A:

Q: Consider the given function m (x) = - 3x - 15x +148. (a) Write the function in vertex form. (b) Iden...

A:

Q: Suppose 135 small business firms are threatened by bankruptcy. If y is the number bankrupt by time t...

A:

Q: Consider the function h : N → N given by h(n) = n + (-1)"+'. 1. Is h surjective? 2. Is h injective?

A: