51 lox)dx

Q: Set up the partial fraction decompostion of 2x^3-1/(x-1)(x+2)(x^2+1)^2

A: Given the partial fraction 2x3-1(x2+1)((x+2)(x2+1)2.We need to set up the partial fraction decomposi...

Q: 4) Use Simpson's Rule, with n = 6, to find an approximate value of this 3 |V1+x*dx integral: As part...

A: Given,          the integral : ∫031+x4dx         we, need to use Simpson's rule with n=6, to find ap...

Q: Find the derivative A

A:

Q: Consider solving x²V1-x² dx using trigonometric substitution. Which of the following is true? a. 2 (...

A: In Trigonometric substitution method, the variable is substituted with trigonometric function to sim...

Q: Walk through please !

A: Find the limit :    limx→-6-x+2x+6

Q: The following graph shows the approximate number (in thousands) of people who immigrated to Ireland ...

A: Given Information: The graph shows the approximate number of people immigrated to Ireland during the...

Q: COS x dx sin? x Cos x dx 2 sin? x 4. sin x 5. + x| dx cos2 x 3.

A: We have to find the value of the given integral: 3.  ∫cos xsin2 xdx4.  ∫cos xsin2 xdx5.  ∫sin xcos2 ...

Q: If the total cost function for a product is C(x) = 810 + 0.1x dollars, producing how many units, x, ...

A: Given: Total Cost Function for a product is Cx=810+0.1x2 dollars To Find: How many units, x will res...

Q: Q3. Choose the letter of the correct answer

A: To solve: ∫14+9x2dx Let I=∫14+9x2dx To solve this, we need to apply trigonometric substitution x=23t...

Q: e* – 1 lim x-0 tan 2x

A: Given: limx→0ex-1tan2x

Q: Please help!

A: It is given that,  tanθ=-53 and sinθ>0 It is known that, tanθ=yx=slope Therefore, let, y=5 and x=...

Q: Find the quantities of each of the expressions below if u is (-5,2) and v is -i+6j   4u*3v ||v-u||

A: Given data is : u=-5,2=-5i+2jv=-i+6j

Q: Find arc length, y=1/3 x3/2 - x1/2  ,(1,4)

A: Given function is, fx=13x32-x12   , 1,4 Let, fx=13x32-x12 Arc length: s=∫ab1+dydx2dx   First fin...

Q: 2. What is the largest possible area of a triangle with its base on the x-axis between x= 0 and x=(2...

A: To find : The largest possible area .

Q: CO x dx sin? x 3.

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining qu...

Q: Need solution on paper please answer quickly

A:

Q: Walk through please !

A: To find the values of x does the graph of fx=6x3+9x2-216x have a horizontal tangent.  

Q: Which of the following limit is defined to be the definite integral f(x) dx, provided the limit exis...

A: The given eqn.  ∫abf(x)dx≥∫abg(x) dx, Then, ∫ab f(x) dx =limn→∞ ∈i=1n f(a+i△x),  where, △x=b-an∴The ...

Q: FIRd all sölutions of the equation in the interval [0, 27t). (Enter your answers as a comma-separate...

A: Given equation is cosx+π-cosx-2=0. To find the solutions of the equation in the interval 0,2π. Solut...

Q: Find the rate of change of f with respect to t along the curve. f (x.y,z) =y² - sin(x +z),7(1) = 2-1...

A: According to the problem, we have

Q: Please assist!

A: Surface Area with no top is area of all four sides and area of base, that is S=l×w+4×l×h , where sur...

Q: sin³x dx Evaluate: | 1-COSX

A: Integration is summation of discrete data. The integral is calculated for the functions to find thei...

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval [...

A: It is given that f(x)=x+7x2 over the interval [0,1] so a=0,b=1 h=b-an,nh=1-0=1 so nh=1 Now f(a+rh)=f...

Q: dx 1-S 1-sinx dr

A: Since you have asked multiple questions, we will solve the first one for you. If you want any specif...

Q: Can you please help with number 7?

A: Ans.7 We have given a right angle triangle  So using formula  sinθ = opposite side / hupotenuse  sin...

Q: Graph the following

A: Given data is : fx=tan23x To draw the graph of fx=tan23x 

Q: y? lim y→0 In cos y

A: Given the function in y,      fy=y2lncosy Objective is to find the limit of function as y tends to 0...

Q: Calculus Question

A: we know the following identities   ∫cos(x)=sinx

Q: Q2/ Solve the differential equation by using the appropriate method (cos²x) y' = y?(y – 1)sinx

A: To solve: Differential equation cos2xy'=y2y-1sinx

Q: x cos x Y = sin* cOS x find d dx | sin-

A: To  find: dydx=?

Q: 4. A fruit company is redesigning their packaging and must know optimal dimensions forits pineapple ...

A: Let 'r' be the radius of the can, and 'h' be the height of the can. Given that the shape of the can ...

Q: I need help with B please

A: Given:∫x1-x2dx              Nothing Needed⇒∫x12-x52dxUse: ∫xndx = xn+1n+1⇒23x32-27x72

Q: x² + 4x - 5 Consider dx using Trigonometric Substitution find x x+2 O 3 sec e sec e O -2+3 sec ở O -...

A: Given: ∫14x2+4x-5x+2dx To find x using Trigonometric substitution. Solution: Given integral can be w...

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

A: Definite integration can be used to find the area of a region between 2 curves. Integrating a small ...

Q: Let F(x, y, z) = (x*y, 2y°z, 3z), then curl F = (2y³, -x²) Select one: O True O False If o is the tr...

A: As per guidelines, we are supposed to solve only first question. Please repost other questions seper...

Q: Please show a detailed computation. Thank you.

A: Given- y=x2+x-12x2-4 To Find- The minimum point of the above expression.

Q: For f(z) = 3z- 2, find F(z) = f(=)dz. %3D O F(2) = z - 2x + c O F(z) = 12 - 3z + c O F(z) =- 2z + c ...

A: Given that: fx=3x2-2

Q: Use the definition or identities to find the exact value of each of the remaining five trigonometric...

A: Given tanθ=110

Q: Evaluate: x³ (x² + 4)²dx

A: Let,I=∫x3x2+42dxusing,(a+b)2=a2+b2+2abthen,I=∫x3x4+16+8x2dxI=∫x7+16x3+8x5dxI=x88+16x44+8x66+CI=x88+4...

Q: Write an equation for the function graphed below 5+ 4+ 1+ + -7 -6 -5 -4 -3 -2 -1 -1 45 6 7 -2+ -3 + ...

A: Given: We can see in the graph. The x intercept is 1 and y intercept is 2. The vertical asymptotes ...

Q: Walk through please!

A:   Given :               R(t) = 2t+et2-t To find :                    R'(t)

Q: DIFFERENTIATING EXPONENTIAL FUNCTIONS

A: Let investment = P  If amount double, A = 2P  Interest rate, r = 9% 9100=0.09 Using formula for cont...

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 55,000 + 100x + ...

A: We need to maximize Profit (P(x)). We know :Profit=Revenue-CostSo,      P(x)=R(x)-C(x)P(x)=5200x-550...

Q: Find all solutions of the equation in the interval [0, 27t). (Enter your answers as a comma-separate...

A: To find all solution of the equation in the interval [0, 2π]. Given the equation is  cos(x+π)-cosx-2...

Q: Compute the indicated derivative using the chain rule.

A: We have to find the indicated derivative by using chain rule: x=5+3t, y=-8t Differentiating first fu...

Q: Find the derivative C

A:

Q: The two lines graphed on the coordinate grid each represent an equation. 6- 4 2 -6 -2 6 2 What is th...

A: The two lines graphed on the coordinate grid represents an equation.we have to find the ordered pair...

Q: 7. Find the area of the region bounded by y = , y = x, y = 1 .10

A: To find : The region bounded by curves ,  y=x24y=xy=1  

Q: does this series converge?

A:

Q: The proposed family is the general solution of the differential equation in the indicated interval. ...

A: The answer is