Evaluate the following indefinite integral. 1 √2 + 3x² Note: Don't forget your C! And be sure to use an uppercase C! dx

Q: If tant: what is tan (t-T)? 9 2 Enter the exact answer. tan (t – π) =

A:

Q: 2. Use Green's theorem to evaluate fe e-x³ dx + (5x + sin(y²)) dy, where C is the circle x² + y² = 4…

A: Please see the below picture for detailed solution.

Q: from a material costing 6 cents/in². The front of the box must be decorated, and will cost 9…

A: answer is in next step.

Q: For the given function find an equation for the inverse function f-1(x).  f(x)=3x-1

A: To find out the inverse of the function given.

Q: Which of the following is the standard form of a circle?

A:

Q: nd f(7zº + 5x³) dx Find + C

A: Given:     ∫7x6+5x3dx=∫7x6dx+∫5x3dx=7∫x6dx+5∫x3dxwe know that ∫xndx=xn+1n+1

Q: A company manufactures mountain bikes. The research department produced the marginal cost function…

A: Here is the solution:

Q: On which intervals is the function f(x)=-2x^(3) +3x^(2) +36x+4 increasing? Do not draw a graph.

A: The objective of the question is determine the interval in which the given function is increasing.

Q: For a cost function, f(x, y), the minimum cost for a production of 56 is given by f(49, 84) = 1400,…

A:

Q: Two cars are moving towards an intersection. One car is 150 meters north of the intersection and…

A:

Q: Given that the graph of f(x) passes through the point (8, 4) and that the slope of its tangent line…

A:

Q: cos(A) cos(B)

A: Our Aim is to find the value of cos A cos B=?

Q: ● ftan(x) sec(x) dx

A: We will use substitute method to solve the integration

Q: Kai (-1) K Kx 2к

A:

Q: Allouette Shipping Company has a peculiar fee schedule. When determining the price to ship a…

A:

Q: J

A: Topic:- geometry      Definition :- system of equation is defined as  two or more equations that…

Q: Determine for the following function: dy dx y = log3 (x² + 1) ○ (z²+1) In 3 2x O (1²+1) 2x O 2x…

A:

Q: • S X √x²-4 dx

A:

Q: Which equation represents a line that goes through the points (0, 1) and (1, 0)? y = -(x + 1) y = 1…

A:

Q: Compute the given integral. 11z - 2 11x² - 4x + 5 -dr +C

A:

Q: Write the sum using sigma notation. 1² +2²+ 3² + +9² K Σ Need Help?

A: To write the sum using the Sigma notation.

Q: Which of the following is an example of an inequality? 60 + |-3| = 63 60 + 2x < 120 60 - 2(15) =…

A:

Q: dr √3-4r-r² 17 -1 r+2 sin-¹( + ²) + C +C) (Ans: sin

A: Yes the answer you have given is correct. see below the calculation using the  trigonometric…

Q: A Ferris wheel is 3 feet off the ground. It has a diameter of 50 feet and rotates every 24 seconds.…

A: Disclaimer: since you have posted sub multiples parts of a question, we will solve only first three…

Q: Find the area bounded by y = x and y = x³. 02 00 01 O 2 01 4

A:

Q: CALCULATE THE AREA BETWEEN THE GIVEN FUNCTIONS. DEVELOP THE PROBLEM WITH ALL STEP EXPLAINED AND…

A: Given,            fx=-x2+4x+2            gx=x+2To find : Calculate the area between the given…

Q: Find the future value at 5.25% interest, compounded continuously for 5 years, of the continuous…

A:

Q: Find the gradient of f(r, h) = 2ärh + ár² at (6,3). NOTE: Enter the exact answer.

A:

Q: Find the first six partial sums S₁, S2, S3, S4, S5, S6 of the sequence whose nth term is given. 2,…

A:

Q: Prove that lim 12 √16x +9y¹2 2 6 4x² +3y does not exist by showing that the limits along different…

A: We have to prove that  limx, y→0, 0 16x4+9y124x2+3y6 does not exist.

Q: Evaluate the definite integral 8 2x² + 7 √x -dx

A:

Q: A particle is moving with a position function given by s(t) = 6t² - in metres and time in seconds.…

A:

Q: What makes solving inequalities different from solving an equation with an equal sign? For an…

A:

Q: 1. The Louvre museum in Paris features an inverted square pyramid with a height of 10 m. The side of…

A:

Q: The figure below shows contours of f(x, y) and the constraint g(x, y) = c. Approximately what values…

A:

Q: Find 13 sin(82)da [13 sin(8x)dz = +C

A:

Q: Use the rules for sums of powers of integers to compute the sum. 21 Σ; j=5

A:

Q: 2. Approximate v1.02 +0.02 using an function f(x)=√x + 1 + e*. appropriate local linear…

A:

Q: Determine the following: iffere (a) 10 -5x² - 42x+194 (x+3)(x-8)(x-2) 9 -dx VIM

A:

Q: The value of of da T 1 -da is x² Submit Question

A: Given: ∫341x2dx

Q: 3. Evaluate the total differential of the below equation at (x, y) = (16, 24), where dx = 1.5 and dy…

A:

Q: The following factors correspond to which one of the following equations: (x + 1) (x - 6)? x^2 + 7x…

A:

Q: Solve the following differential equations y" - y'= 4cos²x

A: We have to solve the differential equation y''-y' = 4 cos2x

Q: Given f''(x) = 7x + 4 and f'(0) -2 and f(0) - 3.

A: Given that f"(x)=7x+4 and f'(0)=-2 and f(0)=-3Our Aim is to find f'(x) and f(4)=?

Q: Let y = 5√√/T. Find the change in y, Ay when x P 3 and Ax 0.2 = Find the differential dy when x = 3…

A: Given the function y=5x

Q: 3. Algebraically rewrite the following equation using properties of logarithms and inverse…

A:

Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

A: From the given data we have to find the value of a2, a3, a4, a5.

Q: 34. x sec xdx

A:

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function.…

A: This question can be solved using the concept of absolute maximum and absolute minimum.

Q: Let y = 5√√. Find the change in y, Ay when x = 2 and Ax = 0.1 Find the differential dy when x = 2…

A: