Compute the following derivative using the method of your choice. d (9x² + ³x) dx P dx (9x² + ³x) = []

Q: Evaluate the integral 100 S 10 dx x(In x)4 11 100 S 10 dx x( In x)4

A: I=∫10100dxx(lnx)4   Let u=lnx Then, dudx=1x Rearranging this: du=dxx Now, changing the limits: Upper…

Q: The polar coordinates of a point are given. Plot the point. (4, 5) -4 -2 л/2 4 R/2 2 2 2 4 Find the…

A: Here is the solution:

Q: Assume A, B, C, D are all nonzero real numbers. Then Ax² + By² + Cx+ Dy = 0 is an equation of a…

A:

Q: Determine all the number(s) c which satisfy the conclusion of Rolle’s Theorem for the given function…

A: To determine the numbers which satisfy Rolle's theorem for the given function

Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 481 km/h and…

A:

Q: Find the area of the region bounded by the graphs of the given equations.   y=4−x2​, y=4-3x

A: Given curves:- y=4-x2,y=4-3x

Q: A sheet of paper 38 cm-by-50 cm is made into an open box (i.e. there's no top), by cutting x-cm…

A:

Q: Let be an angle in standard position. If P(-1, 2) is a point on the terminal side of 0, what is the…

A:

Q: Given 11 [ f(x) dx = 3 and +11 10 f(x) dx = -3, find 10 f(x)dx.

A:

Q: Abdul would like to receive OMR 2000 after 12 years. How much does he need to deposit now if he…

A:

Q: 4) (x + y ) dx + XY dy =o

A: To solve the given differential equation

Q: Let f(t) = 2t¹ – 3t+2eª. Then f'(t) =

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: Test the series below for convergence using the ratio test. n=1 n+2 53n+4 The limit of the ratio…

A:

Q: 3 attempts left Area under the curve = Check my work Find the area under the curve y=f(x) = 16x16x²…

A: Given query is to find the area under the curve.

Q: A sheet of paper 84 cm-by-64 cm is made into an open box (i.e. there's no top), by cutting x-cm…

A:

Q: Differentiate implicitly to find d2y/dx2.   x3−5y3=2

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, P4(x) =| C = 3

A:

Q: Which of the following statements is true about the equation of an ellipse that satisfies the…

A:

Q: 3.1 Suppose sin y = x, then show that. d dx sinh−1 x = ln(x + vật = Hence show that [sinh¯¹x ] ]…

A:

Q: (₁3₂ .:) Use the Divergence Theorem to calculate the surface integral the flux of F across S.…

A:

Q: 2) z(x, y) = (x² + 5y)³ (3y + 2x)

A: Let's find dz/dx and dz/dy.

Q: Use l'Hôpital's rule to find the following limit. 1 In (x-7) lim X→8* lim +8²-X (2-3-1 x-8 G 1 X-8 1…

A: As we know that: The Power law: ddxxn=nxn-1 The product rule: f·g'=f'·g+f·g' The Quotient rule:…

Q: Let F(x) = * sin(0) de. Which of the following statements is true? 0 Select one: a. F(x) decrease on…

A:

Q: y = sin(x² + 2x)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: What is the value of the following limit? lim x-15.3 √x + 15.3 + 18.6 - 18.6 x + 15.3

A:

Q: Draw a graph to match the description given.   ​f(x) has a negative derivative over (−∞,−1) and…

A: We have to take care of slope while graphing....we can not graph actual...because  there is no any…

Q: Find the indefinite integral (8+8 tan²0) do. [(8+8 tan²0) 40=

A: The answer is given in step 2.

Q: Solve (y+1)y" = (y)² a. ²q₂y=x+₂ b. y(x) = c₂e1*-1 C. (C₂-V)² + x² = C₁ d. y=C₂-In(C₁-x²) e. y(x) =…

A:

Q: The position of an object moving along a line is given by the function s(t) = − 2t² + 6t. Find the…

A:

Q: N + 1) = ap (1 + a + x +^x)

A: given  differential equation is :- (xy+x+y+1)dy=(1+y2-x2-x2y2)dx⇒(x+1)(y+1)dy=(1+y2)(1-x2)dx⇒y+11+y2…

Q: Please in details

A: Let x be the number of items , p be price of item ,Rx be revenue and Px be profit function

Q: Let f(x, y) = 4x² - 2xy + 3y² - 8xy List the critical point: The critical point is a Select an…

A:

Q: Suppose that and y are related by the equation xy² = 3x, and y is a function of . dy Use implicit…

A:

Q: Give the substitution that converts the given nonlinear equation into a linear equation then find…

A: Given Differential equation y' - y = -y2

Q: Consider the following multivariate function: 1/PG CT = (v²/c Cine-1)/re+ (1-vc)¹/GP-1)/ro)…

A:

Q: Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west…

A:

Q: On the axes below, sketch the graph of a function f(x) that satisfies all of the following…

A: There can be many graph satisfying above condition.Below is one of them

Q: Suppose that R is the finite region bounded by y = x, y = x + 2, x V = 0, and x = = 5. Find the…

A:

Q: The marginal price for a weekly demand of x bottles of shampoo in a drugstore is given by the…

A: Given  Find integration to get  the​ price-demand equation

Q: Determine whether the series Σ=1 1 1+√n is convergent or divergent.

A: Series   ∑n=1∞  11+n

Q: lying on the floor spots a bird at the top of a tree. The tree is 48 feet tall and the cat is lying…

A: Given query is to find Indicated angle.

Q: Two variable quantities A and B are found to be related by the equation given below. What is the…

A:

Q: 1. Find the equations of the tangent and normal lines at a specified point. (3) 1. y = √1 – x² at…

A: we need to find out the equation of the tangent line and normal line at the given point.

Q: Evaluate the integral 36 S. 6 dx x( In x)4

A:

Q: Suppose that a car has velocity 70 km/hr for 2 hours, velocity 60 km/hr for 1 hour, velocity 50…

A:

Q: 12) Let V== 1i-2j and U = . = -4i +3j. Find the following: a) 2V-4 U b) |U||

A:

Q: Consider the function f(x)=√x+5 -1 for the domain [-5, ∞). - 1 Find f¹(x), where f¹ is the inverse…

A: Given query is to find the inverse function and it's domain.

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A:

Q: 4. Does the series Σn=2 (-1)" √n converge? Why?

A:

Q: 137 137 suppose that Σ ai = 22 and Σ b; = 27. Compute the i=1 i=1 sum. 137 Σ ( – 4α; – 30b;) i=1

A: