A. Sketch the graph of the function, not by plotting points, but by starting with the graph of a standard function and applying transformations. Find domain and range for each of the function.

Q: dy Given the differential equation dr2 + y = e=5# sin(x) Propose an appropriate particular solution.

A: Option A

Q: О 10 O 5

A:

Q: d²y Given the differential equation. + 4y = 0 and the initial dx? conditions y(0) =0 and y'(0) = a, ...

A:

Q: 1 Compute 7' (t) where 7(t) : t+1

A:

Q: Fill in the blank with the appropriate word, phrase, or symbol. When the denominator of a fraction c...

A:

Q: A small metal bar, whose initial temperature is 40°C, is dropped into a container of boiling water w...

A: Follow the procedure given below.

Q: v° tan odo 5+31ncosv

A: See this solution 

Q: Find f'(a). 2t + 12 f(t) = t + 9 f'(a) =

A:

Q: Let i = (2, –1, 5) and ū = (5, –7,3). Find 37 – 5ū. %3D - А. (-19, —32, 0) В. (-19, 32, 0) С. (19, —...

A:

Q: sin 0(1 + tan 0) tan 0(sin0 +cos0)

A:

Q: Find the curvilinear asymptote. x4 - x² – 5 (x) x² - 3 y =

A: We will find the curvilinear asymptote of the given function.Below find the solution in the image.

Q: 5. ( arcsin(x – 1) dx

A:

Q: -4x + 2 if r 2 Let f(r) = %3D -5x +4 if r > 2 Find lim f(x), if it exists. z+2 O DNE O-12 -6 0.

A: Given, fx=-4x+2 if x≤2-5x+4if x>2 We have to find limx→2fx if it exists.  

Q: 3入+3 >4 ) Shetch the qraph of a function f whose domain fs as lase as ssile' and satisliesa lim \im ...

A:

Q: The polynomial function f(x)=ax3+ mx2-6x has intergral zeros.The graph of f(x) passes through the po...

A:

Q: 4. Find the radius and centre of curvature of the curve x = (1 - at) cos t + a sin t, y = (1 – at) s...

A:

Q: 1. What is the slope of the tangent line to the curve y = 3x² – 5 at point (-1,-2)? a. -5 b. -6 C.-7...

A:

Q: Given: x'(t) + 2y(t) = - 1 where, %3D x(0) = y(0) = 0 x(t) - y'(t) = 2t %3D Find : u(s) = L{x} %3D (...

A: I have stated the used formulas in the solution

Q: Express the following differential equation in terms of a differential operator: d² 9. dx? •() + dy ...

A: The given differential equation is:9d2ydx2+12dydx+4y=0

Q: Subtract. Simplify by collecting like radical terms, if possible. 4/5 - 10 /5 4/5 - 10/5 =O (Type an...

A: This can be solved as follows:

Q: (b) The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% p...

A:

Q: . The equations x + y = 2 and 2x + 2y = 8 are examples of equations which are

A:

Q: I. Use the tabular method to evaluate the limits. lim f(x) = (x² – 2x+ 4) x-1 f(x) 0.5 0.7 0.95 0.99...

A: topic - limits

Q: with subsidiary cquatvon: * Solne the differential equatun with subsidiary cquatvon: 5. y (s) = (s+2...

A: 8)

Q: The graph of P(x)= a (x-b)(x+1)2(x-2) passes through (0,6). The value of b in the terms of a, is?

A:

Q: Find the volume of the parallelepiped defined by the vectors й%3 (3, —1,4), ѣ —D (2, 1, —2) and й %3...

A:

Q: Let f(x) tangent line to the graph of f(x) at the point (0, 0) is = 6x + 15 – 15e". Then the equatio...

A: The given curve is: f(x)=6x+15-15ex

Q: Suppose a block of metal is heated to 250 ° F and then brought into a room that is at 90° F at 5 pm....

A:

Q: The graph shows how the average age of first marriage of Japanese men varied in the last half of the...

A:

Q: Find L(y) (1 y" - y = It +1 0 2 y(0) = y'(0) = 0 -2s = 7 + 2 L (y) 1 8 (s² –1) s2 –1 -2s (3s+1) e L ...

A:

Q: y" +y 4 Sin x 3 = 2X ナ

A:

Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an answ...

A:

Q: ) A stone is dropped into a pond and sends out a circular ripple whose radius increases by 5 cm/seco...

A:

Q: 1. lim 5* = X-2 f(x) f(x) 5.873094715 3. 125 1.1 2.5 1.3 2.3 1.5 2.01 25.40561478 1.99 24.60086108 2...

A: 1. The given limit limx→25x Note:    Multiple questions are given, we are answer with only one quest...

Q: 10. Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element o...

A:

Q: Simplify by factoring. V18

A:

Q: P2.B: Evaluate the integral: (x+ 1)/2 J (x – 1)5/2

A: Evaluate the integral ∫x+112x-152dx

Q: (1) (a) Solve the following: (i) 2 =! (b) The population of the world in 2015 was 9.75 billion peopl...

A:

Q: 5) Find the following: a) An equation of the plane passing through the points P(2,1, 10, Q(-1, -1, 1...

A:

Q: A. Find the first derivative of the given function/s. 1. у %3D a-w, B. Find the second derivative of...

A:

Q: Write out the form of the partial fraction expansion for the following functions. Do not determine t...

A: Solution of above question is written in below steps.

Q: Perform the indicated operations. Simplify the answer when possible. 2/32 +5/50 - 3 18

A: Simplified

Q: Apple pies are often served with ice cream on top. If the pie is too hc the ice cream will melt too ...

A: Using Newton's law of cooling to find temperature in terms of time and than find time at which apple...

Q: Pls help ASAP. Pls show work.

A: This question is related to limits, we will solve it using given information. 

Q: 15T 1) tan 4 10T 3) cos 3 11n 5) cot – 6. -

A:

Q: L{(1+t")e 3t)= (1+)() n! sn+1 -3 1 n! s-3 sn+1 1 n! s+3 (s+3)"+1 n! 1+ sn+1 )() (2) s+3 (1)

A:

Q: PAPER 1 4. INDICES AND SURDS N2014 page 25 (a) Solve the following simultaneous equations. 5* 25-2 =...

A:

Q: at is AY 10 8- 4 2 4 O Area = 10 O Area = 12 O Area = 14 O Area = 16 3 2. 2.

A:

Q: Divide and simplify. V98 2 198 2 (Simplify your answer. Type an exact answer, using radicals

A:

Q: Finalize answer free of logarithms and radicals. Express final answer as C= ____ a db - b^2 da = 0

A: