h> ח) tan x

Q: (x+1)dy = (2xe* – xy – 2y)dx

A:

Q: Question 7 If 1 = (6,9) and v2 = (2, 6), then find 30, + 202. Type your answer in component form, (...

A: Topic:- vector addition

Q: Evaluate the integral. Don’t skip any steps.

A:

Q: y(2x3 -x²y + y³)dx – x(2x³ + y³ )dy = 0 %3D

A: Given differential equation y(2x3-x2y+y3)dx-x(2x3+y3)dy=0

Q: 4. Find all the first partial derivatives of the following functions with respect to each variable. ...

A: For partial derivative, we only differentiate with respect to one variable keeping other variables a...

Q: 4. A tree on a hillside casts a shadow 215 feet down the hillL. If the angle of inclination of the h...

A:

Q: Solve the differential equation. dx = (x2yey^3 - 3xy2) dy

A: dx = x2yey3 - 3xy2 dy

Q: (-1)"n For positive integer n, let a, = 3" (a) Determine whether the sequence {a„} is convergent. (b...

A:

Q: ItcosX

A:

Q: tan³ 2x r3 lim x→0

A: Given that: limx→0tan32xx3

Q: A stadium has 55,000 seats. Seats sell for $28 in Section A, $16 in Section B, and $12 in Section C....

A:

Q: and stra ight and x : 8 Let R be an area enclosed by a curve. : 1 Using the cylindrical shell method...

A: Given problem:- Let R be an area enclosed by a curve. X =4√y and straight line y=1and x = 8 Using th...

Q: dり me me pag

A:

Q: For real number p, let f and g be defined by f(x) =e x and g(x)= 1/x, respectively, on [1,0). P. (a)...

A:

Q: Y- 3X +1 = Ce | Ce 3x

A:

Q: 4. f(x) = e*-1 + 2 %3D Domain: Range: Equation of Asymptote: End Behavior: lim f(x)= lim f(x)= X-0

A: f(x)= ex-1+2 The domain of a function is the set of inputs accepted by the function. for every value...

Q: 6. A water tank is shaped like a cone with the apex point at the bottom, where the cone has radius 5...

A:

Q: A hole is drilled through the center of a sphere x² + y² + z² = R,², leaving a ring-shape solid. If ...

A: A per your request , (b) The equation of sphere is given as , x2+y2+z2=Rs2 and Radius of drill=Rd f...

Q: Example 1: A particle is moves along a coordinate axis in the positive direction to the right. Its p...

A:

Q: Determine if the function is even, odd, or neither. State its symmetry, if a (a) f(x) = x° + 2x (b) ...

A: Given: a)f(x)=x3+2xb)g(x)=2x4-4x2

Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +...

A:

Q: (S) possit Given In 6=1.7918 and In 23 =3.1355, find the value of the following logarithm without us...

A: We will use the fact that  ln(a/b)=ln(a)-ln(b).

Q: One leg of a right triangle is 7 cm shorter than the other leg. How long should the shorter leg be t...

A:

Q: ite the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer ...

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given series is ∑k=1∞164k2+48k-7 Determine whether the series is convergent or divergent

Q: (1+x*)dy + x(1+ 4y²)dx =0

A:

Q: From a point 56 feet above the ground, a stone is thrown vertically downward and hits the ground at ...

A:

Q: Consider the following integral: dx I = Vx - x² a. Use the substitution u = x - ; to show that I = s...

A:

Q: vulcanizing shop has a trapezoidal drum that is 5 meters long, 1.5 meter wide at the top, 1 meter wi...

A: Solution of the problem as follows

Q: dy (8y – 2²y) + x – xy² = 0

A:

Q: A ball thrown vertically downward from the top of a building at a velocity of 64 ft/sec hits the gro...

A: Projectile motion 

Q: 22. State True or False. Let f(x)=sin'(x) + log(x) then domain of f(x) is (-*, ). a) True b) False

A: To check whether the statement is true or not. The statement is Let f(x)=sin2x+logx then domain of f...

Q: Perform the indicated operation and simplify if possible. 17. 17 O A. V7 O B. 7 OC. V14 O D. V49

A: Topic:- simplification

Q: 3-5x - 2.r, if r >1 4 lim f(x) if f(x) = -3 1 + x – 1 - 4x, if r <1 13 – 1

A:

Q: A right circular cone with radius 3 cm and height 6 cm is submerged point first into a tall cylinder...

A: I am attaching image so that you understand each and every step.

Q: (b) Explain why the integral e x'dx is convergent.

A: Improper integral : If f(x) is continuous on [a,∞) , then the improper integral of f over [a,∞) is  ...

Q: Evaluate the following indefinite integral. Use C for any constant of integration. da dæ x4/16x² – 2...

A: Given problem:-

Q: Given the function g(t) = (t-4)(t+3)(t-1) What is It’s g - intercept is: What is It’s t- intercept i...

A: The objective is to find g - intercept and it’s t- intercept .

Q: In Exercises I through 8 use the parallelogram law to form the sum and difference of the given compl...

A:

Q: 16 Evaluate x1² (x4 – 2x² + 1)²dx. - 81

A:

Q: dx 72

A:

Q: (-1)"n For positive integer n, let an = 3" Determine whether the sequence {a,} is convergent.

A: Determine whether the sequence is convergent ?

Q: 2х-3 3. у %3 Зx+4

A:

Q: (8,7,11) Figure 1 Figure 2 A(n) 3 in x 12 in piece of cardboard has squares cut out of each corner i...

A:

Q: 3, 4, 5, 6, 7, 8, 2, 10 and 11 A vertical plate is submerged (or partially submerged) in water and h...

A:

Q: Helium is pumped into a spherical balloon at a constant rate of 2 cubic feet per second. How fast is...

A:

Q: dy 2y_(x+2)² %3D dx x2 -4 x² -4

A:

Q: 3\k-1 Determine whether the series E=1l-) 4 converges and if so, find its sum. 7/2 4/7 714 5/7

A:

Q: The set of complex number, write in roster method (at least 10 elements) and set builder notation

A:

Q: For the function f(x) = 1 – 1/ (x + 2)2, find the following: f(-x)

A: topic- functions