d²y Find when ax + cos(by) = c, where a, b and c are constants. dx² (a) - a²csc² (by) cot(by) 1 (c)-sin(by) a (b) – 7 csc(by) cot(by) (d) - a² csc(by) cot² (by)

Q: (3y² + 5x²) dx + 2xy dy = 0

A: Solution

Q: ute the derivative of the given function in two different ways.…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. a =e⁹n/(n +…

A: Solution

Q: 0 A can of soda is placed inside the refrigerator. The soda has an initial temperature of T = 70-F.…

A:

Q: Find all numbers b such that the average value of f(x) = 6 + 10x - 9x2 on the interval [0, b] is…

A: We can find the values of 'b' in the below steps.

Q: Use the Exact DE method to find the GS of (x + yey)y' = 1

A:

Q: If z = (x + y)e" and x = u² + v² and y = u² — v², find the following partial derivatives using the…

A:

Q: 0 A can of soda is placed inside the refrigerator. The soda has an initial temperature of T = 70-F.…

A:

Q: Describe a function g(x) in terms of f(x) if the graph of g(x) is obtained by performing the…

A:

Q: By the definition of differentiability, select all the behavior where the graph of a function would…

A: A function is called is not differentiable at any point if its LHD≠RHD or a function is not…

Q: a. How many determined (basic) variables does each augmented matrix have? Choose b. Choose c. Choose…

A: The number of basic variables is equal to the number of rows which have at least one non zero…

Q: 3 2 Find the interval of convexity of the function f(x)= x + 3x - 4 D a.xEE-1, +00) b. x € (-1,-00)…

A:

Q: Find given the set of parametric equations dy dx x = csc² (at) and y = cot(at), (a) — cot(at) 1 (c)…

A: The objective of the question is determine derivative by help of parametric equations.

Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

A:

Q: Evaluate the integrals 1,2,dx 1.

A: Dear student,as per policy we are allow to solve one doubt at a time.please repost other doubt

Q: Find the indefinite integral. (Use C for the constant of integration.) sin³ sin³ 20 √ cos 20 de

A: ∫sin32θcos2θ dθ We have to find Indefinite Integral.

Q: 5π (b) sec 6 (c) (sin 570⁰ + cos180°)-¹ (d) sec 7π 6 - 1 CSC 4π 3 + COS 5π 6

A: b)sec-5π6-csc4π3sec(-θ)=secθ since you have posted multipart question, i can do first question as…

Q: (+2)) = 2

A:

Q: If y = arcsin(-2-1),

A:

Q: Find the first partial derivatives of the function W = 5ze xyz 1. 2. 3. δω dx Iw მყ δω əz = =…

A:

Q: If z = (x + y)e and x = 7t and y = 1- t², find the following derivative using the chain rule. Enter…

A:

Q: Given the graphs of f(z) and g(z) below, find the composition of functions f(g(0)) g(x) 18 16 14/ 12…

A:

Q: 4 ✓ y= √4-x² (Equation of a semi-circle) c) 2 Find the (using calculus). in quadrant I (QI) a) setup…

A:

Q: The point P(3, 20) lies on the curve y = x² + x + 8. If Q is the point (x, x² + x + 8), find the…

A: Given P(3,20)y=x2+x+8Q(x,x2+x+8)

Q: Q3. hyperbola has vertices (-5,-1) and (3,-1) and foci (-6,-1) and (4,-1) Sketch the hyperbola a) b)…

A:

Q: Write an equation for the function graphed below. -6-5-4-3-2 g(x)= 5 2 4 my 2 + ty -3 77 56 -5- 2234

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. = e-4/√n lim…

A: Given  an = e-4n.

Q: Under which of the following cases would we want to consider Yp the form of our particular solution?…

A:

Q: 4 4 DA. [(4-y) dy + f(y) 0 0 D 2 4 B. [(y) dy + f(4-y) dy 0 2 Oc. (y) dy 2 4 (4-y) dy+ (y) dy So 2 0…

A: Given,

Q: a. Find the equation of the line tangent to the function at the given value of x. b. Use a graphing…

A:

Q: Show limit doesnt exist   lim(x,y)--> (0,0)   xy^2/x^2+y^4

A:

Q: The graphs of z = 6, y = f(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to…

A:

Q: Find the slope of the line passing through the pair of points or state that the slope is undefined.…

A: Our Aim is to find the slope of the line passing through the pair of points(-4,3) and (2,2). Further…

Q: How would you solve this if you didnt have the coordinates of A and B and only given a function

A: If here not given the point and given the function only then

Q: 6. The following table gives values of two new functions f(x) and g(x). Use the table to find the…

A:

Q: Find the derivative. d dx In x+4 (x-4)

A:

Q: Directions: Consider the following function f(x). f(x) = 2x² -x-1 Part 1 - Difference Quotient If h…

A: Given query is to find the derivative using the definition.

Q: Use integration by parts, together with the techniques of this section, to evaluate the integral.…

A: The given integral is 9ln(x2-x+4).

Q: $

A:

Q: Question 9 Find the limit: lim, 7 O(E) O21 9 07 O 3

A:

Q: j(t) = + +1 t +O Find j' (4)

A:

Q: 1. Simplify the following expressions: a) 12√7-9√7 3 b) 81- c) log 105

A:

Q: af af Find and for the following function. дх ду f(x,y) = (5x-3y)7

A:

Q: Obtain the general/particular solution for the given differential equation. 4 cos (2x) 2y²-y +4 dy…

A: This is a first order Separable Ordinary Differential Equation.

Q: 6- 5 2- 1 1 2 3 Based on the graph above, estimate to one decimal place the average rate of change…

A: As we know  Average rate of change of function fx in interval a,b=fb-fab-a

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: See this solution in below.

Q: Problem 6. Find a function f(x) whose derivative is f'(x) = x² √√√x³−1+x³ and which satisfies f(2)=…

A: Given,            f'x=x2x3-1+x3 and f2=1To find : Find the function fx.

Q: Obtain the general/particular solution for the given differential equation. 2x ye²x dx = (4 + e²x)dy

A:

Q: Do NOT use the difference quotient, find the derivatives via formula. y=4

A:

Q: f(x) = 2x³ + 9x + 7. Find z if f¹(z) = 0.

A: