c) f(x) = 1 x2+6 d) h(x) = Vx² – 4x + 1

Q: 1. (a) Use the Wallis cosine formula to evaluate [cos' xdx.

A: Given that, ∫0π2cos9xdx     As we know, Wallis Cosine Formula, If n is even, ∫0π2cosnx dx = 1.3.5......

Q: 1. Use the properties of the natural logarithms to simplify the following expressions: c) In(4t*) – ...

A: To simplify12ln(4t4)-ln2

Q: a. Given In() in(†) A. Find the equa B. Find the equa

A: (A) Given equation is: lnxy+y3-2x=-1 Differentiating both sides with respect to x we get, yxdydx+3y2...

Q: deposited $25000 today how much would i have in 15 years if back continuously compounds at 1.3%

A:

Q: 4b

A: GIvenw=ln(x2+y2+z2) where x=ue3vsin(9v) , y=ue3vcos9v and z=ue3vTo find∂w∂u and ∂w∂v

Q: 4. Evaluate the following integrals: a) (e2x +5e-*)dx b) (esecix sec tx tan nx)dx -In 16 0.

A: We have to evaluate the following integrals: a)  ∫e3x+5e-xdxb)  ∫esec πxsec πx tan πxdxc)  ∫0ln16ex4...

Q: dz Use the Chain Rule to find where z =x cos y, x =t°, and y = dt dz dt

A: We have to find the derivative using chain rule, so,

Q: Which one is a factor of 24 but not a multiple of 4? Select one: a. 4 b. 12 C. 6

A: We know that from given options 6 is a factor of 24 but not a multiple of 4

Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine...

A: The given series is ∑n=1∞e-n

Q: Let V (2, 4) be a point on a figure, and let V be a the corresponding point on the image. The figure...

A: Given that V (2, 4) is a point on a figure and V’ be the corresponding point on the image.   The fig...

Q: Find an equation for an exponential passing through the points (4, 1200) and (11, 1900).

A: here we find the exponential equation by using  y=abx  by using points (4,1200) and (11, 1900)  

Q: Find the value of a that makes the following function differentiable for all values of x. if x <0 ax...

A: We have to find the value of a where it is given that following function is differentiable at the gi...

Q: An LRT train 6 meters above the ground crosses a street at a speed of 9 m/sec, at the instant that a...

A: Given:                An LRT train 6 meters above the ground crosses a street at a speed of 9 m/sec,...

Q: If x = 3.1 × 10^4 and y = 2.4 × 10^–7, calculate the values of the following, expressing your answer...

A: Algebraic operations help to find the given expressions. Since the given expressions are the expone...

Q: Find the intervals on which f is concave up or down, the points of inflection, the critical points, ...

A: Function is the unique relation where each x is mapped to unique y. It can be of many type, injectiv...

Q: A scientist observed that a certain species of bacteria grew by 18% each hour. How many bacteria wil...

A: Given that a certain species grew by 18% each hour. To find the number of bacteria present after 5 h...

Q: Graph the polar equation and the related sinusoid. Label the tick marks on the axes of the sinusoid ...

A: Given a polar equation, r=6cos3θ,  0≤θ≤2π3

Q: 1

A: Domain :-                       The domain is the set of all the values of x.Find the domain -      ...

Q: 4) Find the indicated probabilities, given that the lifetime of a lightbulb is exponentially distrib...

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: Revenue is the amount that producer get by selling teh product. Cost of the product is the amount in...

Q: Find the value of (f og)' at the given value. f(u) = u - 2, u= g(x)3DVx, x= 1 (fo g)'(1) = (Type an ...

A: fu=u7-2,  gx=x Now, f∘gx=fgx=fx=x7-2=x72-2 Now differentiating with respect to x, we get f∘g'x=72x72...

Q: At any time t, the velocity of a particle moving along the y-axis is given by v(t)= 4t - t^2. The to...

A:  

Q: Find the inverse of the 3s - 137 transform: (f) = s2 +2s + 401

A: We have to the inverse of the transform given. We shall be using the following inverse formulas: 1.L...

Q: Determine all values of p for which the improper integral converges.

A: First apply integral test. In integral test if ∫k∞f(x)dx is convergent then ∑n=1∞an is convergent an...

Q: Evaluate the indefinite integral as an infinite series. of ex - 1 dx 5x Σ( + C n = 1

A:

Q: How do you find the exact bearing in degrees of an angle formed from one object from another in a ve...

A: Show that: How do you find the exact bearing in degrees of an angle formed from one object from anot...

Q: he vector field at the given point F (x, y, z) = e* sin yi – e

A: Here we have to find the curl F for the vector field at the given point (0,0,1)   we have,  F(x,y,z)...

Q: Q1. Test for convergence of the foliowing alternating series Σ E(-1)"+1_n+1 In +1 n=1

A: Given: ∑n=1∞-1n+1n+1n+1 To test for convergence of the alternating series.

Q: Find the trigonometric integral.

A: Integral of a function is the anti derivative of the function, meaning area of the graph of the func...

Q: K. Brain weight A grams was modeled to be a function of body weight B grams for a mouse, according t...

A: given: brain weight A grams was modeled to be a function of body weight B grams for a mouse, accordi...

Q: What is the domain of the following {(3, 4), (9,1), (10, 5), (2,15), (8, 4)}

A: Domain : Domain consist of all input values shown in x axis.  

Q: 12x+x² 2.

A: Given that, ∫dx2x+x2   As we know, 1+tan2x=sec2x ddxsecx=secxtanx ∫secxdx=ln|tan(x)+sec(x)|+C

Q: Verify the integration formula.

A: To verify the integration formula, ∫uncos u du=unsin u-n∫un-1sin u du

Q: Help me solve question #4

A: Let, I=∫x3+4x2−4xdx ⇒I=∫x2-4xx+4+16x+4x2−4xdx ⇒I=∫x+4+16x+4x2−4xdx ⇒I=∫x+4dx+∫16x+4x2−4xdx ⇒I=∫x+4dx...

Q: Evaluate each arithmetic series described.

A: The symbol ∑ represents summation of terms as value of m varies from 1 to 10. Substitute the value o...

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series.

A:   To determine the convergence or divergence of the series using Direct comparison test. ∑n = 1∞ 13n...

Q: Q2. Find the radius of convergence and interval of convergence of n! Σ n=0 2"

A: Given: ∑n=0∞n!2nxn

Q: Full solution please

A: The area of the region bounded by the functions f(x) and g(x) over the interval [a,b] is: A=∫ab[f(x)...

Q: In Exercises 7-10, find the indicated limit by using the limits lim f(x, y) = 4 and (r, 5) (a, b)" l...

A:   Given : lim(x, y) → (a, b) f(x, y) = 4lim(x, y) → (a, b) g(x, y) = -5   To find : lim(x , y) → (a,...

Q: Find the area of the region bounded by the graphs of the given equations. y= 2x? - 5x + 10; y =x? + ...

A: The area under two curves is found by first determining the intersection 2x2-5x+10=x2+7x-10x2-12x+20...

Q: The graphs of a function f is given above. Which of the following statements is false.

A: In above graph we have to check f(x) is exist or not at x =a , b , c &amp; d

Q: Reverse the order of integration and evaluate the following integral. .2 4 e 3x? dx dy .2 4 e 3x? 0 ...

A: Given: ∫02∫y24e3x2dx dyOn reversing the order we get∫x2∫024e3x2dx dy=∫0x∫024e3x2dx dy=∫024xe3x2dx

Q: Find dy dx tan/ sin3x) + eos (cos. .....

A:

Q: g Water is being poured at the rate of 5 m/sec into an inverted conical tank of radius 10 m and alti...

A: The volume of the cone is: V=13πr2h Differentiation formulae: ddxxn=nxn-1  

Q: Find the general solution in 30 minutes I need the solution in 30 minutes

A: Given- y"-y'-6y=0 To Find- The general solution of the above differential equation.

Q: Use the Root Test to determine whether the series convergent or divergent. 3n 3n n + 1 n = 2 Identif...

A: The root test is limn→∞ann=Lif L&lt;1then the given series converges if L&gt;1then the given series ...

Q: A round hole of radius sqrt(3) ft is bored through the center of a solid sphere of a radius 2 ft. Fi...

A: To find: The volume of material removed from the sphere. Given: The radius of sphere is 2 feet, and ...

Q: determine where f (x) concave up and f (x) concave down.

A: the given function is: f(x)=14x4-23x3-12x2+2x-1 we have to determine where f (x) is concave up and f...

Q: The atmospheric pressure at altitude h (kilometers) for 11 ≤ h ≤ 25 is approximately                ...

A: Given: P(h)=128e-0.157h

Q: Solve the differential equation

A: A first order differential equation in separable form is given by: dydx=gx. hy &amp; hy≠0 where gx i...

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.