(a) Oppositely directed to v = (19, –14) and half the length of v. -19 V557 1. w = 2

Q: Which of the following is equal to ſ e®dt? А. ее В. ее + С С. ееx + С D. eet + C

A:

Q: Find the function satisfying the differential equation f'(t) – f(t) = -2t and the condition f(2) =…

A:

Q: The slant height of a right circular cone is 5 m long. The base diameter is 6 m. What is the lateral…

A: The slant height of a right circular cone is 5 m long. The base diameter is 6 m. Radius =3 m

Q: 3. Give an example of a function with discontinuities at x =1 and x = 5.

A: To Find : A function that has discontinuities at x=1 and x=5.

Q: 1. Prove using vectors that the points (4, 3, 0), (2, 0, 1), (4, 1, -1), and (2, 2, 2) are the…

A:

Q: Set B 1. Prove using vectors that the points (-1, 3, 3), (0, 1, 2), (2, 2, 2), and (3, 0, 1) are the…

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

Q: Write the quotient in standard form. 3 5 – 9i

A:

Q: Use a table or graph to investigate the limit. lim 9x²In x lim 9x In x= (Type an integer or a…

A:

Q: 2. (a) Use algebra to verify that (1+ (x – 1) (b) Differentiate arctan(x+1) – arctan(x- vital thing…

A:

Q: x*+1 dx = 0 y

A:

Q: Determine at which points f(x) is discontinuous. f(x) = X-81 The function f(x) is discontinuous at x…

A: f(x) is discontinuous at points where f(x) is undetermined.

Q: Use the limit laws to evaluate the limit. X+2 lim X1 X+1 Select the correct choice below and, if…

A:

Q: x+x-30 Given f (x) = %3D x- 5

A:

Q: : Find the volume of the solid obtained by rotating the region bounded by the curve y= -x²+ 10 and y…

A:

Q: In an oblique triangle, a=25, b=16, angle C-94'06. Find the measure of angle A.

A: We have given,a=25, b=16, B=94°06'=94.1°;∴ cos94.1°=−0.072

Q: 2. Let Ā and B be nonzero vectors. Find k e R such that B – kĀ is orthogonal to Ā – B.

A:

Q: Determine the extreme values of the ff. functions. f(x) = 2x^2 +8x -11 on [2,4]

A: This is a problem related to maxima and minima. Based on the general concepts we will answer the…

Q: 30 20 10 -10 - 6 4 -2 8 10 -10 -20 30 16

A:

Q: The area of a triangle ABC is calculated using the formula zbc sin A S= and it is known that b, c…

A:

Q: Evaluate the indefinite integral. Use C for the arbitrary constant. 25 35e* dx =

A: Given problem :- Evaluate the indefinite integral. ∫ (25/x -35ex) dx

Q: (1) This question is about the extension of the differentiation rules from 1-dimensional space to…

A: We are given  f(x, y) =(yex , ex+y)  and g(x, y) =(xey , ln(xy) )  We have to verify (i) (f+g)'(x,…

Q: For the function f(x) = 3+x find f"(x). Then find f"(0) and f"(3). f"(X) = Select the correct choice…

A: This question is based on second derivative of given function.

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A:

Q: Find the area of the triangle with vertices P(1, 2, –3), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the…

A:

Q: Find the cylindrical equation for the ellipsoid 4x2 + 4y² + 2² = 1.

A:

Q: Suppose the clean water of a stream flows into Lake Alpha, then into Lake Beta, and then further…

A: Note: - According to our guideline i didn't solved more than three subparts . So please again repost…

Q: Sign Comment hta Finl the opachin fanPalabolas vertex, fecus and direder for The fallowing…

A:

Q: Which value must you assign to a so that f(x) is continuous at x = 4? 8+2x-x x#4 = (x), X-4 %3D a…

A:

Q: Set up and evaluate the triple integral needed to compute the volume of the solid bounded above by…

A: here we have to find the volume.

Q: Graph the function, not by plotting points, but by starting from the graphs below. y = 6 - (+* GY y…

A: 13x is a decay function.Option-D represents it.-13x will be exact reflection of option-D about…

Q: All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a…

A:

Q: Classify and Solve dy + (1- 2x)y = 4x ,x >0 dx

A:

Q: The distance that a free falling object falls is directly proportional to the square of the time it…

A:

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A:

Q: Find the exact length of the curve. x = 8 + 9t?, y = 3 + 6t, 0 sts4

A:

Q: 5. The equation r = 2 sin(0) in cylindrical coordinates describes a surface. Convert this equation…

A: Use relation ship between cartesian coordinate and cylindrical coordinates .

Q: Solve the problem. Determine the dimensions of the rectangle of largest area that can be inscribed…

A: From the figure:Let 2x be the length of the rectangle;Hence,using Pythagoras theorem;width2+2x22…

Q: Let A and B be nonzero vectors. Find k e R such that A – kB is orthogonal to A + B.

A: We know if a vector P→ is orthogonal to another vector Q→ then scalar product (dot product) is zero.…

Q: Consider the iterated integral || f(x, y) dy da where R is the region between the curves y = r and y…

A: To find the missing values in the limits of the integral .

Q: Compute the following limit if it exists. -3x-18 lim x-6 Select the correct choice beiow and fill in…

A: L’hospital’s rule   limx→cfxgx=limx→cf'xg'x     Here,  limx→6x2-3x-18x-6      =limx→62x-3…

Q: Katie invested an amount of $18,000.00 in a mutual fund. After 4 years and 6 months the accumulated…

A: Use the formula for the compound interest and calculate the rate.

Q: Write the integral in terms of u and du. Then evaluate. (8х + 19)-2 dx, и 3D 8х + 19 (Use symbolic…

A:

Q: Find the gradient of the function at the given point. g(x, y) = 3xe/x, (10, 0) Vg(10, 0) = 3i + 3i

A: g(x, y)= 3 x eyx∇g(x, y) =∂g∂x, ∂g∂y∂g∂x=3eyx+3x eyx-yx2      =3eyx 1-yx∂g∂x=3eyx (x-yx)∂g∂y=3x1x…

Q: af af Find and ds z when f(x, y) = e*cosy, x= 2s - f and y= 3st. af

A: Given problem:-

Q: Given 7 f(x) dx = –10 f(x) dx = 8 %3| 7 6. g(x) dx = –1 g(x) dx = -8, compute the following…

A: Given problem:-

Q: Find functions f (x) and g(x) (either graph or explicit formula) that satisfy both of the following…

A:

Q: Use a table or a graph to investigate the limit. lim In t→9e lim In (Type an integer or a decimal.)…

A:

Q: From a helicopter flying at 30,000 feet, the angles of depression of two cities are 28 and 55. How…

A:

Q: Q5/ Find the volume of the Tetrahedron that is determined by three edge vectors a = [1, 0.-3),…

A:

Q: Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are…

A: Graph of the semicircles are given, we have to find the given integrals