8. Find the scalar equation of the line passing through the point (1, 5) that has a normal vector (3, -2).

Q: What is the contrapositive, converse, and inverse of the ff. propositions The home team wins…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: A plane flying horizontally at an altitude of 3.4 miles and at a speed of 790 mi/hr passes directly…

A:

Q: A model for the spread of a rumor is given by the equation p(t)= 1/1+ae^(-kt), where p(t) is the…

A: Given problem:- A model for the spread of a rumor is given by the equation p(t)= 1/(1+ae-kt)…

Q: 2. Find are Ətəx

A: The given function is v=(3t-x)e-2t ................................ (1)

Q: Let m(x) be the slope of the tangent line to the curve y=x² x³ 2x² + x at the point (x, y). Find the…

A:

Q: A. Find the first partial derivatives of the given functions. 1. z = x³ xy² + 3y² 2. Find nd of if…

A:

Q: хр. e X О

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

Q: If x represents a random variable with mean 125 and standard deviation 20, then the standard…

A:

Q: A cylindrical can, open at the top, is to hold 300 cm³ of liquid. Find the height, h, and the…

A:

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: Given that the daily profit (in dollars) from the production and sales of x units of a product is…

Q: Consider the solid torus (the donut-shaped solid shown in the figure) with radii 5r and 6R. a = 6 b…

A: We have to find the integral and volume.

Q: 1. x²y + 2xy - 5y³ = 0

A: As per bartleby guidelines we only give first question answers.

Q: "alse 1. The absolute extrema for a function f(x) will occur wherever f'(x) = 0 2. The rectangle…

A: Topic:- function

Q: Question 15 Find the derivative of y = 32x+5 A. 2 ln 3 (3²x+5) B. In 3 (3²x+5) C. 2ln 3 D. 32x+5 O B…

A:

Q: Prove the following statement: 2² +23+24+... 2+1 = 2" +2-4

A:

Q: s sin² (3x) cos³ (3x) dx Hint: cos²x = 1 - sin² x 07 sin²x = 1 - cos² x

A:

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 12 ti + t²idt = 0

A: To evaluate: ∫012t i+t2jdt

Q: the

A:

Q: 17 m K 19 m hm 9 m Part 1: Part 2: Part 3: Part 4: Let h be the height of AJKL. Find the length of…

A: To find the area of triangle, height etc..

Q: 4x subject to the condition that y = 3 when x = 2. Preview TIP Enter your answer as an expression.…

A:

Q: f(x) = loga x

A:

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

A: Given problem:- Use the method of cylindrical shells to find the volume V of the solid obtained by…

Q: In x dx = fx²dx fln x dx = (Inx-1) + C the solution correct? If your answer is yes, provide the…

A: Given query is to find the solution of the integral.

Q: For the right triangles below, find the exact values of the side lengths b and c. If necessary,…

A:

Q: 0 2 4 Let A = -2 2 5 and B= 7 -1 1 Find A-B. A - B = 0 1 -6 -35 25 6 3 8 [000) X 00 000 5 [00]…

A: Given A=   0   2   4-2   2   5   7-1  1 and B=   0-3   5   1   2   5-6   6   3.

Q: Find the limit. lim 1-4(t i-8j+t² k)

A:

Q: 3 -7 [3] 7 -5 Let E= -2E= 0 Find -2E. 00 8 [000) 000 1000 [00] Undefined

A:

Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

A: A rectangular plot of land is to fenced in using two kinds of fencing. Two opposite sides will use…

Q: 3. Use Green's Theorem to find the area of the region enclosed by one arch of the cycloid x = t -…

A:

Q: The finate finear pattern 20;17;14...-103.Calculate number of terms in the sequence ?

A:

Q: 6.S dx √1+√√x

A:

Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

A:

Q: Use the given derivative to find all critical points off, and at each critical point determine…

A: Follow the procedure given below.

Q: You are training your dog to catch a frisbee. You are playing in a large field, and you are standing…

A:

Q: xy + 1 lim (x, y)→(1, −1) x² − y²

A:

Q: A 40-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 7…

A: Find the rate of the top of ladder sliding down.

Q: ∫(4x3−12x)(x4−6x2)−3 dx Evaluate the following integral using substitution rule or integration by…

A:

Q: The Bernoulli's form of the differential equation x³ydx +(3x² − y³ )dy = 0 is

A:

Q: and the limit. OTE: Enter the answer using round brackets. m t² +9 1 +0o 8t2 +9' 4t = (?, ?)

A: Given query is to find the limit of the expression.

Q: Consider the following series. Σ» (#1) (a) Determine whether the series is convergent or divergent…

A:

Q: A circle has a radius of 11 ft. Find the radian measure of the central angle that intercepts an arc…

A: We can find the radian measure in the following steps.

Q: Let (3, 4) be a point on the terminal Find the exact values of cos 0, sec 0, cos ( = 0 sec 0 = 0 cot…

A:

Q: Find the equation of the tangent line to the graph of f(x) = x³e-* at a = 0.

A:

Q: As shown in the figure below, Isabel is looking at a tree that is leaning at an angle of 87° with…

A:

Q: second derivative tests. =) has a relative Choose one Choose one maximum minimum at the point (?, ?)

A:

Q: Suppose that f is integrable on [-4, 7]. If the average value of f on the interval [-4,7] is 4.25,…

A: Given,             Suppose that f is integrable on -4,7. The average value of f on the interval…

Q: Find the exact area under the graph of f(x) = = and x = 2. Area = 1 x+1 between r=0

A:

Q: ∫(3 cos(x) − 7sinx(x))dx   Evaluate indefinite anti-differentiation

A:

Q: Find the area of the region bounded by the given curves. Decide whether integrate with respect to x…

A:

Q: A farmer uses x lb of fertilizer per acre at a cost of $0.20 per pound, leading to a revenue of R =…

A: