Find all possible functions with the given derivative. t f'(t)=sin 2t- cos

Q: Find the exact length of the curve. 36y2(x2-4)3, 4≤x≤6, y 20

A:

Q: The figure below shows four named points A, B, C, and D on a grid generated by two vectors V₁, V2 in…

A: NOTE: Refresh your page if you can't see any equations. . the coordinate of v1 and v2 are

Q: Evaluate dy and Ay for the function below at the indicated values. y=f(x) = 75 (1-2); x = 5, dx= x=…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.)         4x3 + 5 (x4 + 5x)2 dx

A: See this solution in below.

Q: original function is 2x^3+3x^2-12x+1 derivative= 6x^2+6x-12

A:

Q: Find the average value of the function y = 35 - 2x on the interval [0, 4]. O 31 10 O 20 O None of…

A: The Answers are given below

Q: If $6,000 is invested for 5 years at 8% compounded quarterly, how much interest (in $) will be…

A:

Q: termine the intervals on which f is increasing or decreasing, assuming the figure below is graph of…

A: Given query is to find the interval where function increasing and decreasing

Q: Find the future value (in $) of an ordinary annuity of $600 paid at the end of every 6-month period…

A:

Q: Convert (y) = 5 to an equation in polar coordinates. 7.12 Note: use "t" for

A: Given query is to find the equation of the polar coordinates.

Q: Find the vector AB in R2 given in the figure. AB= help (vectors) 6 5 A 3 2 1 -6 -5 -4 -3 -2 -1 -1 -2…

A: From the graph we write the position vector of both points

Q: 5. Set up a triple integral to find the volume of the tetrahedron that has vertices (0,0,0),…

A: Given Vertices ( 0,0,0 ) & ( 0,0,4 ) & ( 3,0,0 ) & ( 0,4,0 ) ∫∫∫dydzdx

Q: = 4x + 5 At what point (x, y) is the function f(x) closest to the point (4, -8)? Enter an exact…

A: Topic-  Application of derivatives We are given a function f(x)=4x+5 And a point (4,-8)

Q: Compute the coefficients for the Taylor series for the following function about the given point a…

A:

Q: lower sum upper sum Function f(x) = 8 - 2x s(n) = S(n) = Interval [1, 2]

A: given interval [1,2]⇒a=1,b=2 ∆x=b-an=2-1n=1nxi=a+i∆x=1+i(1n)xi=1+in…

Q: Use the Comparison Test to determine whether the series converges. ∞     n = 1an where an =  2 n(n…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √√1+3x,…

A:

Q: At what point (x, y) is the function f(x) = 8x - 3 closest to the point (3, -6)? Enter an exact…

A: To determine the point x, y on the function fx=8x-3 is closest to the point 3, -6.

Q: X , 0≤x≤6000. A company manufactures and sells x television sets per month. The monthly cost and…

A: The solution is given below

Q: 00 ²2 ²² n = 2 Draw a picture to show that The series converges. The series diverges. 1 n¹.5 dx.…

A:

Q: Find the critical point of the function f(x, y) C = == (7x + y² + In(√x + y))). Use the Second…

A:

Q: Sketch the situation if necessary and used related rates to solve for the quantity. If two…

A:

Q: The value of the following limit is -1 None Undefined 0 1 +∞ fin(n+¹) coth x dx limn→+∞ Jin n

A:

Q: A curve with polar equation 31 7 sin +36 cos 0 represents a line. This line has a Cartesian equation…

A: NOTE: Refresh your page if you can't see any equations. . use the polar to cartesian substitution

Q: A box is to be constructed from a piece of zinc 10 in. square by cutting equal squares from each…

A:

Q: In the study of the spread of an illicit drug, the number of N of new users can be modelize by the…

A:

Q: A 16ft. ladder leans against a wall. The bottom of the ladder slides away from the wall at a rate of…

A:

Q: 6. The goal of this problem is to compute the integral (a) Find 3 real numbers a, b, c not depending…

A:

Q: Find the 10th derivative of the function: y = (x+1)/(x-1)

A:

Q: Calculate the gradient of f(x, y) = cos(x² + 3y) Vf= A

A: To calculate the gradient of the function.

Q: Find the length of the arc of y^3= 8x^2 from x = 1 to x = 4.

A:

Q: X A dx dt X 1: State the Pythagorean theorem for this problem as function of x,y and the der 29…

A: Topic:- application of derivatives Note:- as per our guideline if more than three subparts posted…

Q: Find the arc length function for the curve y = sin(x) + √1-x² with starting point (0, 1). s(x) = 4…

A:

Q: If z = sin (₁) functions of u and v. дz ди дz Əv and x = = In(u) and y = v4, find the following…

A: Topic = Derivative

Q: Fill in the missing values to make the equations true. (a) log, 3 + log, 8 = log, 5 (b) log₂ 5 -…

A: Given Equations:- log53+log58=log5 log25-log2=log257 log325=log35

Q: 7 п 6 S y 4 3 2 4 ·10 Average rate of change = Number 6 Estimate the average rate of change from z =…

A: To find the average rate of change of function

Q: Evaluate the following limit using L'Hospital's rule. Provide your answer below: lim (cos(9x))(+2)…

A: d dx(lnx=1xd dx(cosx)=-sinxd dx(xn)=nxn-1sinxcosx=tanx

Q: . 6. Consider the function f(x) = r³ - 2x2 defined on the interval [0, 1]. Find the point(s) on the…

A:

Q: Evaluate the following integral. csc 4x 2 cot x csc 4x CSC 2 cot x dx dx =

A:

Q: (b) You are given the point (-2, π/4) in polar coordinates. (i) Find another pair of polar…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 1 Σ √n Inn 71 2

A:

Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 8 ft above the…

A:

Q: Let U = {a, b, c, 1, 2, 3, 4} A = {b, 2, 3}        B = {a, b, 2, 4}         C = { 4}        D = {c,…

A: Let U=a, b, c, 1, 2, 3, 4A=b, 2, 3, B=a, b, 2, 4, C=4, D=c, 3, E=a, b, 1, 2, 3To put the most…

Q: If sin 0= 0<0<- 8 9' T find the exact value of each of the following. 2'

A:

Q: Consider two nonnegative numbers x and y where x + y = 11. What is the maximum value of 15x²y? Enter…

A:

Q: 3 Given the function of f(x) = -1 + on the interval [-8, -2], find a point c between -8 7x and-2 so…

A:

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y=2-x², 0≤x≤ 5

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: A supply function and a demand function are given. Supply: p=q² +8 Demand: p = 73 - 29- 29² (a)…

A:

Q: Grain pouring from a chute at the rate of 12 ft3/min forms a conical pile whose height is always…

A: How fast is the height of the pile increasing at the instant when the pile is 8ft high? change in…

Q: Consider the equation (x - 7)(x + 4)(x - 2)(3x + 1) > 56. Plot this function and solve the…

A: