1. What is the vector and parametric forms of the equation of the line passing through points P(-2,4) and Q(4,-4)?

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Solve the following

Q: (a) [In(4) - 2e¹³] dx d b) dx d (c) [2²² - 1 (2²)] = 4e³x In(x [sec (12r) + tan-¹(2x)]

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

Q: 31 Suppose h(x)=¹-42³. Which one of the following is true? Select one alternative: O The first…

A:

Q: 12. DETAILS ZILLDIFFEQMODAP11 1.R.001. Fill in the blank. The symbol C₁ represents a constant. d =…

A: The solution is given below.

Q: Let f(x) = Bx2 + 6 t where Bis a constant. If the slope of the tangent line to the graph of f at æ =…

A: f(x)=Bx2+6sqrt(x).

Q: What limit law is used in the given below? lim (5x + 2) = lim (5x) + lim (2) x →1 x →1 x →1 Addition…

A: We have to choose the correct option from the given options according to the given information

Q: Find the solution to the differential equation below such that y(0) = 14 y' = 10xy - 2x y(x) =

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the area under the graph of x = 4 - y² on the interval [0, 2]. -3 -2 -1 1 2 3 → 1 0 -1 16 3 16…

A:

Q: Given: f(x, y) = ln[1 + x siny] Find: g² f(x,y) 8x² 2 sin y (1+xsin y)² sin² (1+2 sin y)² 1+2 sin…

A: In this question, we need to find the second partial derivative of the given function.

Q: What is the lim0+ (=//=²²1)? - If your answer is a Whole Number Fraction (+) Positive Infinity (-)…

A: Let's find limit of the function.

Q: Given the graph below, what can you say about the function at (-1,1)? Not Continuous Continuous

A: The graph of a function is said to be continuous if the value of the function exists for all values…

Q: 5. Identify and sketch the graph of y = x² + 1 in R³. M

A: y=x^2+1 x=0 y=1 x -3 -2 -1 0 1 2 y 10 5 2 0 2 5

Q: Find an explicit solution of the given initial-value problem. dx = · 3(x² +1), x(7) = 1 dt X =

A:

Q: y=xe

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: If c is a constant, what is the limit of c as x approaches a? 0 C a X

A: A detailed solution is given below.

Q: What is the lim [(ln(2x - 4)) - (ln(x + 3))] 818 ? If your answer is a Whole Number Fraction (+)…

A:

Q: Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i - 2j + 2k. -Y. 3. Find the unit vector…

A: Follow the procedure given below.

Q: find  the area of the  region bounded by the  curves y²=4px and x²=4py

A: To find the area.

Q: lim,→-1 22²+2-1 2+1

A: See the answer below

Q: Using the graph of the exponential function below, what is the limx→12 (3x)? 8 0 2 6

A:

Q: ii. Given g(x)= √x²+5 if x<-2 3-3x if x2-2 Find the following: d. g(-2)= e. Determine with an…

A:

Q: Which of the following represents the derivative of fat x? f′ (x) = f(x1¬Ax)+f(x1) Ax f′ (x) =…

A: We have to choose the expression that represents the derivative of f at x.

Q: Assume a and y are functions of a third variable t. If xy = 30 and 10, find dt 0-6 0-3/1/20 O-12…

A: Here we use the concept of derivatives

Q: Which of the following is NOT TRUE about the tangent line intersecting the graph of a function? The…

A:

Q: Q1. Calculate the area of the region lies inside the diagram (r= 4 cos 20) and outside the circle (r…

A:

Q: 3. 21 ) f(x) = 3x + 1 [1,3] n=3 a=1 right left & middle hand rule b=3

A: To find out the left, right and midpoint riemann sum.

Q: . Calculate the area of the region lies inside the diagram (r = 4 cos 20) and outsid the circle (r =…

A:

Q: The graph of } = xe-r is symmetric with respect to the Origin None of these the x-axis the y-axis

A:

Q: 5. Based on sales data over the past year, the owner of a DVD D(p)-40-2p where D(p) is the number of…

A: answer is in next step.  Since you have posted a question with multiple sub-parts, we will solve…

Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

A:

Q: Suppose f(x) has a removable discontinuity at x=10. How do we redefine the function to make it…

A: This question can be solved using the concept of limit and continuity.

Q: Whatis the derivative of y = sin (2x − 1)?

A:

Q: On which interval or intervals or if there is any, the Mean Value Theorem applies for f(x)=√x² - 4…

A:

Q: wing is Of has a relative minima at x = -3 and x = 3. OIt cannot be determined if has any relative…

A: To find the relative maximum and minimum of the function

Q: Find dy dx for sin(xy) + y³ = x² + 1 and use it to find the equation of the tangent line at the…

A:

Q: E S™ SX 5x5x²x² coscyl dyd z d x "X d 2 +

A:

Q: 5. DETAILS ZILLDIFFEQMODAP11 1.2.011. MY NOTES ASK YOUR TE In this problem, y = C₁e + c₂e is a…

A:

Q: Convert ₁(4-4x²-y2)dyda into a triple integral with dV = dydzdx.

A:

Q: Given the graph below, what can you say about the function at x = -2? Not Continuous Continuous

A: A function f(x) is continuous at x=a if and only if limx→a f(x) = f(a).

Q: The number of bacteria in a refrigerated food product is given by N(T) = 23T² – 96T + 12, 5 < T < 35…

A: The number of bacteria in a refrigerated food product is given by N(T) = 23T2-96T+12,  5&lt;T&lt;35…

Q: 2x³ is an antiderivative of what function? y = 6x² y = -6x² X y = -2 y = X 2

A: Integrating the given function gives the antiderivative.

Q: 36 In the evaluation of fa* cos(a) dar, which one of the following is an integral that is involved…

A:

Q: Find the volume of the given solid. Under the plane 3x + 2y - z = 0 and above the region enclosed by…

A:

Q: 2x³ is an antiderivative of what function? y = 6x² y = -6x² X y = y = - 2 X 2

A: 2x3 is an antiderivative of what function.

Q: What is the lim, 0+ sin(y) In(y)?

A: limy→ 0+sinylny=limy→ 0+lny1sinyBy L'Hopital's rule,=limy→ 0+1y-cotycscy=limy→…

Q: Given a function, Based on the function, S-3 F(s) = 2 S² +6s+13 a) Determine ƒ(t). b) Based on…

A:

Q: What is the limit of 3x4 as x approaches ? 1 2 12 evaluated 2 3 16 0 1 16

A: Given problem:- limx→12 3x4

Q: Find the integrating factor by inspection then solve the following differential equation. Show your…

A:

Q: Evaluate the given limit. Show your complete solution. lim [e6x + x² x²] =/= 8x

A: Given problem:-

Q: What is the lim_0+ 2²-In(x) For answers write... that are in decimal form and round off to fractions…

A: