Determine the slope of the tangent to √1-x at the point (-8, 3).

Q: You've heard it's a bad idea to buy pets at mall pet stores, but you couldn't resist buying an…

A:

Q: r2 lim cos where k is - 00 - sec?! (A lim tan B lim - cos?- lim 2. 2.

A:

Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 3. Vdx + (2x +1 – Vx)dV = 0

A:

Q: - 4g° + 1000g, where R(g) is in dollars Suppose a product's revenue function is given by R(g) g is…

A:

Q: d Find [r(t) · u(t)] and [r(t) x u(t)] in two different ways. dt dt r(t) = ti + 2t2j + t³k, u(t) =…

A:

Q: Regarding on the letter c, why is it equated to negative gamma?

A: c) The direction ratio of D→-C→ is -2, 5, -5 from part a. D→-C→ is normal to the required plane.…

Q: Find the centroid of the region bounded by y = VI and y = x². U

A:

Q: 3e dt 10. SET A.

A: We will use the concepts of definite integral

Q: -945° is equal to i radians. (Type your answer in this format: a*pi/b where a and b are integers.)

A:

Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (5t + 6)i + tj, 0sts1

A:

Q: Find r(t) · u(t). r(t) = (7t – 4)i + j + 4k u(t) = t?i – 8j + t?k r(t) · u(t) = Is the result a…

A: Use dot product concept

Q: 13. Find the length of the curve y4 + 8 from y = 1 to y = 4. X = 4y2

A: To find the length of given curve.

Q: on. 5x(8- х) dx x(8 - x) dx =

A:

Q: (c) f(x) = sin? x [Hint: sin? r = l-cos 21] (a) f(r) = r arctan r b) f(x)=x²e- %3D

A:

Q: _1. (2x – 3) dx А. —2 - _2. L (x³ + 2x) dx В. 0 _3. (x² – 2) dx С. 3 1 -

A: 1) ∫02(2x-3)dx2) ∫-11(x3+2x)dx3) ∫03(x2-2)dx

Q: An archaeologist found a burial jar when excavating in an ancient village. To determine the age of…

A: Rate of decay of C14 is proportional to its amountdctdt=kct…

Q: 7. 1 (x dy – y dx) = 0 %3D x² + y²

A: Here, the given DE is: 1x2+y2(x dy -y dx)=0...(1)

Q: Suppose a product's revenue function is given by R(g): is units sold. Also, it's cost function is…

A:

Q: Calculate the definite integral by referring to the figure with the indicated areas. y f(x) dx Dd x…

A: Consider

Q: 1+tan-1x D. y = + sec-1xcsc¯1x + xsin-1x +V1 - x2 2-3tan-1x

A:

Q: dx 00 2 X х +4

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: Describe the graph of the equation. (5 – 21) i + 8tj r = It is a plane in 2-space through the point…

A:

Q: Calculus Question

A:

Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (3t + 7)i + tj, Ostsi

A:

Q: Two numbers have a sum of 72. What is their product if it is a maximum? (A) 1296 B) 1297 c) 1298…

A:

Q: S Vcos 20 sin 20 do

A: To evaluate the following integral.∫cos2θ sin2θ dθ

Q: Evaluate the line integral / (2x + 4y)dx + (2x – 9y)dy along the curve C : x = 4 cos t, y = 8 sin t…

A: Solution is given below:

Q: Find the exact value of: 1 + cot (Write your answer in the simplest form, use fractions whenever…

A: Trigonometric values cot2π6=32=3 sec2π4=22=2

Q: sion into quadratic form, ax² + bx + c = 0, and ide %3D

A:

Q: 2.) S- e2x dx ex – 5

A:

Q: 2. sin Find Maclaurin series for:

A:

Q: Evaluate the improper integral |. 3.x dx or show that it diverges. +1 x?

A:

Q: 3. Evaluate (D +x)(D–x). Note: D=- (denotes derivative with respect to x). A) D²-x² B) D² -x² - 1 C)…

A:

Q: The total revenue, thousands of dollars, for selling g thousand Framits is given by (a) Find all…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: 5 x X LOS

A: Given: I=∫0πsin5x2cos7x2dx  ...1   As we know that; The Power rule: ∫xndx=xn+1n+1+C

Q: What is the approximate change in the area of a triangle of base 10 inches and altitude 17 inches if…

A:

Q: 30. The temperature at a point (x, y, z) is given by T(x, y, z) = 200e¬x²-3y²-9;? where T is…

A: Rate

Q: Find the unit tangent vector T(t). r(t) = (5 cos t, 5 sin t, 2), Find a set of parametric equations…

A: This question can be solved by applying the concept of unit tangent and line tangent at a given…

Q: Find the vector equation for the line of intersection of the planes x – 5y + 2z = 1 and æ + z = 1 |…

A: To find the vector equation of the line of intersection of given planes.

Q: Use continuity to evaluate the limit. 16 + Vx lim 16 + x

A:

Q: Find the indefinite integral and check the result by differentiating. Determine an appropriate…

A: Solve the given intregal

Q: integral of 3/(x^2)+9

A:

Q: Use a change of variables (Substitution Method) to evaluate the following definite integral. Show…

A:

Q: 2. True or False? a) -2(3BA)and 6AB'are equal vectors. Justify your answer. b) If |AB| = |AC|, then…

A: This question can be solved using the concept of equal vectors.

Q: 5. [sin-' x dx Ans. x sin'x - V1-x² +

A: We will use integral by parts to evaluate integration of arc sinx

Q: n What is the closed-form expression for the series 2 (k-2)², k=1 37 A + 6 n³ -n²+ 13 B 6 6

A:

Q: If y=f(x) = - 3cos+) + 4 then what is the value of / 2 A) 7

A:

Q: (45)ds。(特)"- sa (49) 48 (xs) 1-1

A: The given integral is (x2+5x) /(x+9)1/4.

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

A: