Find the total area between y = x'/3. - x and the x - axis for -1 sIs8.

Q: Find the vector component of v = (4, – 1, 7) alongb = (1, 2, –2) and the vector component of v ortho...

A:

Q: alculate the curvature of the vector function when t=0.1: 7(t) = (e", V2t, et)

A:

Q: Show your work to justify your answers. Write your solutions properly, neatly, and carefully. s) Fin...

A:

Q: If f(x) = 7 cot-l+ 5, then find the value of f'(-6) is -5 37 -6 37 O 00 O 7 37 O -7 37

A: Topic:- application of derivatives

Q: the length of the arc of the curve having the parametric equations x = t³ and y = 2t2 %3D %3D from t...

A:

Q: Evaluate: / cot-12 e Sa dß. ß cot-12B – In|1+482| + C A B cot-128+ -In| 1+482| + C 8 ß cot-12B+ In|1...

A:

Q: Which of the following best describes the function below? S (x) ={** if.rso |-r² if 0 <.x A. Continu...

A: To find out the correct statement. 

Q: What is the amplitude and period of the function shown below? 5- 4- 3- 2- 1- -2 -1 -1 -3 2 3 4 6. -2...

A:

Q: .fe* sin( -4x)dx

A:

Q: 1+ 2t Find the laplace transform of (i).

A: To find the laplace transform of the folowing function.1+2tt

Q: dy Find using implicit differentiation, for the equation x + y³ = 9 is. dx

A:

Q: Find the volume of the solid generated bounded by x = Vy-2, x = y? - 4y + 4, rotated about the x- ax...

A:

Q: Find the compos Ite functions (f g) and (gn. What is the domain of each composite function? (Simplif...

A: We can answer all parts as below.

Q: Using integration by parts, the integral Vx In x dx equals:

A: Given ∫1ex lnx dx To evaluate integral using by parts rule

Q: The integral of t2ln t with respect to t is; A (3ln t-1)+C B ®(3in t-1) +C none of the given choices...

A: Given: The integral of t2lnt with respect to t

Q: 1+ 2t Find the laplace transform of (i).

A: Laplace transformation.

Q: A potato is launched vertically upward with an initial velocity of 101 ft/s from a potato gun at the...

A:

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 18j as ...

A:

Q: Find the acceleration of the potato at 0.5 s ft/s?

A: s(t)=-81t2+225t+3acceleration a(t)=s''(t)consider s(t)=-81t2+225t+3Differentiate with respect to ts'...

Q: Growth of a Cancerous Tumor The volume of a spherical cancerous tumor is given by the function V(r) ...

A:

Q: Find the values of a and b if the tangent to y = ar² + bx at (1,5) has a slope of 8.

A:

Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

A:

Q: 2- 3x +8 2-X2C

A:

Q: Find a function y(x) such that 5yy' = x and y(5) = 8. y =

A:

Q: The derivative of the function y = log2(In(x)) is:

A: We can find the correct answer as below.

Q: A police car is located 60 feet to the side of a straight road. A red car is driving along the road ...

A: Solution: A police car is 60 feet to the side A red car 130 feet up the road  

Q: The derivative of the function y = cot¬1(csc x) is: csc x cotx cSC X cot x y' y' = csc?x+1 csc?x+1 t...

A: See the details solution in below

Q: Consider the function. x+ 7 x) - (a) Find the imverse function of r. X-1 (b) Use a graphing ublity t...

A:

Q: Determine whether the series converges using the Ratio test. 00 7k k=1 The series

A: This question is based on Ratio test.

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the t...

A:

Q: Stan"(w}sec°(w)ax u )کب + 27 + ه-)J ب)ا 20 - )J No appropriate Match au)کی - 207 - ه-)J du )قی + 27 ...

A:

Q: Question 6 Evaluate the double integral over the given region. S *+x4 - 3) dA, R: 0 sx s1,0 sy s2 15...

A:

Q: An exponential function has a decay factor of 0.60. What is the percentage decay rate?

A:

Q: 20 -1 3. sin

A:

Q: ( 2² – 2x + 1, æ < 2 13- a, a22 Evaluate the following limits for h(a) = and Justify your answer. ()...

A:

Q: (2a +3, 3 is continuous at * = 3. Justify the conclusion. (4) f(3)=| (66) lim f(a)= (éi) lim f(a)= ...

A:

Q: 4 Vva – 1dx 2

A:

Q: 8. arctan (-1)

A:

Q: 2x ²-11)dx x3+3x²-4

A: To evaluate the integral.

Q: Find the points on the graph of f(x) = where the tangent line is horizontal. x2+2

A: Given query is to find the points where tangent is horizontal.

Q: The integral of tln i with respect to t is; © none of the given choices Oin-3)+c ln-1)+C

A:

Q: Given the vector function *(t) = (t, cos (2t)) Calculate the curvature when t=5.4

A:

Q: Given F(x)=2f(xr)-g(x) and f(-1) = 2. f'(-1) = 3,9(-1) = -5,9'(-1) = 4, find F'(-1). %3D %3D

A: We can find the answer as below.

Q: 1 dx (2х + 1)4, 8

A: Given query is to find integral converges or diverges.

Q: A). Domain, Symmetry, Asymptotes, Intercepts, B). f', Critical Points and Local Max/Min Values, C). ...

A:

Q: Evaluate: " sin7 cos4 dx

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i+ 5j. NOTE: Enter the exact answer...

A:

Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

A:

Q: ng in such a way that its radius is decreasing at a rate of 0.3 cm/min. At wi wball decreasing when ...

A:

Q: = sec.x-/2 tan .x , find f' (=). %3D

A: