Find the derivative of the function. h(t) = (t5- 1)(312-5t-2) %3D

Q: Given: sin a= & in Quadrant I and cos 8= - 12 in Quadrant Il; evaluate the following expression. tan...

A:

Q: Glven the functions below, find dy/dx using CHAIN RULE. 2 y = 4t +1 ; ; x t = 3w + 4 5w - 2 Using th...

A:

Q: sin 3t dt J cos 3t – 1

A: Given: I=∫sin3tcos3t-1dt   ....(1)   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where ai...

Q: sec(Vx) tan(Vx) dx

A:

Q: 11T find the reference angle 0'. Give only exact answers, and type pi for 7 if needed. Do NOT 3 If 0...

A: Topic:- trigonometry   

Q: 3 т2 dm )2 т3-2

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute ...........

Q: ce the appropriate limit laws and theorems to determine the limit of the sequence. 12" C, = n! se sy...

A: Please refer to the image below

Q: dy 4x+xy? dx

A:

Q: Simplify (129 + 121 + i) (12021)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11 met...

A:

Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by...

A:

Q: Write 58e" 0.64r in the form 58b" and interpret the value of b. Round b to four decimal places. 0.64...

A: Topic:- exponential growth function

Q: sec(Vx) tan(Vx) dx

A:

Q: Español Translate each graph as specified below. (a) The graph of y =x is shown. Translate it to get...

A:

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

A:

Q: (0 -20 +2) y - 24esin 3x when x=0,y-0,y'=0

A:

Q: x (2x+3) f(x) = (x² +1)*

A:

Q: x5 lim x2 – 2sinx + 2x O 20 O 1 O 30 0

A:

Q: Find the inverse of the given matrix and verify if [A][A]-1 = [A]=1[A] = [1]: [25 5 [A] = |10 4 8 16...

A: Here, the given matrix is: A=25541051681222 First of all, find the inverse of the matrix.

Q: 10 10 Evaluate 5x dx using the trapezoidal rule and Simpson's rule. Determine The value of 5x dx is ...

A:

Q: dy Find of the function given implicitly: 2xy + 8e = 8e. Evaluate the second derivative at the point...

A:

Q: In getting the derivative of a rational function, just get the derivative of

A: Topic:- derivatives   

Q: 25. Evaluate the following definite integrals. e) L, 3wv4 – w2 dw

A:

Q: X-7y=-11 ---(1)  5x+ 2y = -18 ---(2)

A: Note:- As statement of problem is missing for given system of equations so we can solve system of eq...

Q: GENERAL INSTRUCTIONS: 1. Find the Indefinite Integral 2. Show your solution legibly on a short bond ...

A: Since we are given with multiple number of questions and our guideline is solve the first question o...

Q: Integration by parts. cos?x – dx sin4x

A: Given:        ∫cos2xsin4xdx Rewrite/simplify using trigonometric/hyperbolic identities: we know that...

Q: y - 3y + 2y = 3e + 2e2 %3D

A: Given: -The ordinary differential equation is, y''-3y'+2y=3ex+2e2x To find: -The solution of the giv...

Q: Consider Line 2, which has the equation: y = 9 Give the equation of the line parallel to Line 2 whic...

A:

Q: Evaluate the iterated integral | (a+ 2y) dyda. Give your answer correct to 2 decimal places.

A:

Q: tanh 2x In (cosh 2x)dx

A:

Q: For the vector-valued function r, carry out the following steps. a. Evaluate lim r(t) and lim r(t), ...

A:

Q: Find the average value f of the function f on the given interval. ave f(x) = /x, [0, 25] fave

A:

Q: 15. a, = (-1)" 3n-

A: since we are given with multiple number of questions and our guideline is solve the first question o...

Q: 2. Write an expression for the nth term of the sequence а) 2, 8, 14, 20 ... 1 1 1 b) 1, 4 ' 9 16

A:

Q: For the next three questions, consider the differential equation: y" – 2y/ + y = e* arctan r If the ...

A:

Q: Recall how to identify the limit and exact value of each function givenc using a graph. Given the gr...

A:

Q: Find the exact value of the following trigonometric expression: cot y- csc y = Basic Funcs Trig

A: We can find the answer as below.  

Q: The function f is shown below. What is the value of | f(x) dæ? Writey your answer in simplest form. ...

A:

Q: Question Select your answer. Given the graph of f(x) below, determine lim f(z). does not exist -302 ...

A: Topic:- limits  Note:- as per our guideline if more than one question uploaded than only first quest...

Q: Find dy by implicit differentiation and evaluate it at the given point. dr tan (9x + 5y) = x, (0,0) ...

A: We know that; The chain rule; fgx'=f'gx·g'x The Power law; ddxxn=nxn-1 And ddxtanx=sec2x   Given: ta...

Q: Given that (-1, 3) is a stationary point of the function f (x, y) = -x3 + x2 + 2xy+ y² – x – 4y. | D...

A: Given; fx,y=-x3+x2+2xy+y2-x-4y And The stationary point is: x,y=-1,3   We know that; If rt-s2>0, ...

Q: 以一 3-Va

A:

Q: di x-x(t)defined implicik ly by 62X6 12+62VXIn(t)-eE. Also evaluate dx (tx)s(4,4).

A: Given: -x=x(t)  defined implicitly by The equation is, 62+62xln(t)=e62xt To find: - The differentiat...

Q: Given: cos a= -, sin B=, aand Bare second-quadrant angles; find cos(a - B) 117/125 3/5 4/5

A: We have to find the cosα-β Given    cos (α)=-2425 , sinβ=35

Q: sin( - B) = V2 (cosB - sinB) 2 (sinB- cosB) O 2 (cosB + sinB)

A:

Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = cos() -2 <ys ...

A:

Q: (2x -y+2)dy + (x-2y +4)dx =D0

A:

Q: Find the radius of convergence and the interval of convergence. k2 + 81 k=1 Radius of convergence: I...

A:

Q: 343 | lim x → 7 x – 7 - O - 28 O 147 O 98 O – 147

A: Topic:-  limits and continuity  

Q: If you integrate the below integral successively for FIVE TIMES, how many terms including the C will...

A: ∫exdx1.Integrate with respect to xex+C12.Integrate with respect to x∫(ex+C1)dx=ex+C1x+C23.Integrate ...