Using the tangent line approximation of Ax) = tan-¹x tan-¹(0.9)? Select one: O a. 0.733 O b. 0.735 O c. 0.760 O d. 0.765 Check X at the point 1, T what is the value of

Q: Evaluate 1³e¹² dt.

A: Using integration by parts we can find the integral.

Q: Integrating cos/xsin x dx where k is Odd Evaluate [cos 8 xsin ³ x dx.

A:

Q: -5 -4 -3 to -1 3 < X < 2 -1- -2 -3 12 3 4 5 The function graphed above is decreasing on the interval…

A: Consider the graph

Q: L(t) = -173 + 0.578t +0.00760 t^2 : t in years since 1880 Using the sea level formula L(t), estime…

A: Given                                                       Where t in years since 1880. By using…

Q: Use technology to compute the sum-of-squares error (SSE) for the given set of data and linear…

A:

Q: A rectangle is drawn in the first quadrant so that it has two adjacent sides on the coordinate axes…

A:

Q: x²dy+(y²-xy)dx=0

A:

Q: 1. §13.1. Q18. Let f(x, y, z)=zxy + x. Find (a). f(x+y,x- y, x²). (b). f(xy, y/x, xz).

A: Given,

Q: Find f'(x) and f"(x). f'(x) f"(x) = f(x) = (x³ + 7)ex

A:

Q: Find the values of a and b for the curve x²y + ay² b if the point (1,1) is on its graph and the…

A:

Q: Answer the following True or False. Sa 1 CSC x dx = ln(cscx) + C O True O False

A: The given problem is to identify whether the integral  trigonometric expression is true or false.

Q: Provide logarithmic differentiation to find the derivative dy for y= (x².2x) * dx

A:

Q: X x +1 dx =

A:

Q: limiting behaviors will be exhibited by populations with the indicated initial sizes. a Initial…

A:

Q: expand the following expression as much as possible. Simpli ulator. log5 (15x + 25y)

A:

Q: The general term of a geometric sequence is t = 3(5), where is a positive integer. Show all steps to…

A:

Q: Calculate the derivative using implicit differentiation: x4w + w8 + wz2 + 9yz = 0 dw/dz =

A:

Q: A bike rental company charges its customers pdollars per day to rent a bike, where 5≤p≤30. The…

A: A bike rental company charges its customers  dollars per day to rent a bike,where . The number of…

Q: Solve the following differential equation 1- yn ydx + (1+x²)dy = 0

A:

Q: K Find the first and second derivatives. 6 X dy dx y = 5x-5 11 d²y dx² ||

A:

Q: 41. The diagram shows a trapezium OPQR inscribed in a semicircle with centre O and radius r cm. OP…

A: We have to find the perimeter of the trapezium and find the value of the angle that maximizes or…

Q: Consider this graph of the function f to answer the questions below: -9 -8 -7 -6 -1 ↑f(x) 1+ -1 Ņ 2…

A:

Q: The top of a 17 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate…

A:

Q: Calculate the derivative using implicit differentiation: dw/dz, x4w + w8 + wz2 + 9yz = 0 dw/dz =

A:

Q: 5. Let v = i-2j and w = i + 2j- 3k. Find the vector projection of v onto w. I

A:

Q: Find y" by implicit differentiation. Simplify where possible. x² + 6y² = 6 ||

A:

Q: Solve the Disserential equations Cosy dx + (x siny - cosy) dy =o

A:

Q: lim x-1 sin (x-1) x²-1 =

A: (2) L=limx→1sin⁡(x−1)x2−1

Q: Question 9 Let f(x) = 4 ln(x). Then f'(x) is and f'(11) is f"(x) is and f"(11) is Question Help:…

A: f(x) =4ln(x) to find f'(x), f'(11), f''(x), f' '(11)

Q: 2. fe²sin z dz

A:

Q: Find differentiating equations to relate rates formula.

A:

Q: Determine whether the improper integral converges or diverges, and if it converges, find its value.…

A:

Q: The masses m, are located at the points P.. Find the moments M and M and the center of mass of the…

A:

Q: solve the following using. Exact method ylny dx + (1+x²) dy =o

A:

Q: Write the function as a product of linear and irreducible quadratic factors, all with real…

A:

Q: Find the following using the table below. I f(x) f'(x) g(x) g'(x) 1 1 4 1 4 22427 Nwwww h'(4) if…

A: Given: To Find: To evaluate the following.Note: We have divided the question in three parts (i),…

Q: Graph the function. Then identify the​ domain, range, and​ y-intercept, and state whether the…

A:

Q: Find equations for (a) the tangent plane and (b) the normal line at the point Po(1,2,2) on the…

A: Given, surface is , point is .

Q: Prove that for any n  ∈ ℕ, the integer 7n - 6n - 1 is a natural number multiple of 36.

A:

Q: Find the equation of the tangent line to the graph of y = f(x) at x = x0  f(x) = ln x; x0 = e−1

A:

Q: Find the area of the region under the curve y = f(x) over the indicated interval. 3 f(x) = sq units…

A: Given

Q: Find an equation of the line that goes through the points (-3,-18) and (3,12). Write your answer in…

A:

Q: 1. (a) f(0) = ln(sin 0) + sin(ln). (c) y = ln |x³ - x²| Find the derivative of each function. (b)…

A: Note:-Since you asked multiple sub parts questions , according to our policy we can answer only…

Q: Find the slope of the tangent line to the curve y² − x + 3 = 0 at the points (7, 2) and (7, −2) in…

A:

Q: 4. Find a point on the curve y² = x³ - x that has a vertical tangent.

A: Given,  We know for vertical tangent

Q: Evaluate the integral. 4x+10 x³+x 0_5 dx 4 x +C 10lnx +4tan-¹x+C O 10lnx+4tan-x-5ln(x²+1)+C…

A: GIven data

Q: 7. The tide removes sand from the beach at a small ocean park at a rate modeled by the function R(t)…

A:

Q: Q2. Let w = xy ln(xyz). (a). Find w дх '

A:

Q: 0) at which the acceleration is equal to zero.

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval f(x) = x-² In(x),…

A: f(x)=x−2ln⁡(x),[12,8]