Evaluate 3 (6t³ + 2t² − 7) dt. Enter your -3 answer as an exact fraction if necessary.

Q: et f(t)= F"(t), with F(t) = P +bi, and let a= 2 and b = 6. Vrite the integral fa f(t) dt and…

A: Given f( t ) = F'( t ) F( t ) = t3 + 6t a = 2  &  b = 6

Q: If the function f(x) = ? (3ax² +2bx+1 if x ≤1 is differentiable for all real values of x, then b =…

A: To find the value of b

Q: If f(3) = 11, f' is continuous, and • f*F(x) f(4) = f'(x) dx = 15, what is the value of f(4)?

A:

Q: Covert the rectangular equation x² + y² + 4y = 0 to polar form. Graph it and indicate orientation.

A:

Q: Second Derivative Test: If c is a critical number such that f'(c)=0 and f"(c)>0, then ... Of is…

A: To choose the correct statements

Q: Evaluate the integral. [² v³ + 3v³ dv 3V6 V4

A: Evaluate the integral  ∫12v3+3v6v4dv

Q: Given the graph of f(t), let A₁ A -2 A. Evaluate 4 [ƒ f(t) f(t)dt = [ f(t)dt. 2 A2 Total area = =…

A:

Q: f(x)=(3x2−12)2 Step 2 of 2:  Use the Second Derivative Test to locate any local maximum or minimum…

A:

Q: Evaluating Polar Integrals In Exercises 9-22, change the Cartesian integral into an equivalent polar…

A:

Q: 3- a) Find the area of the region in the first quadrant between, y || = and y = x² b) Find the…

A:

Q: If f(x) = 7+ f'(x) = Find f'(3). ƒ'(3) = 5 X + 2 x2 I find f'(x).

A:

Q: Find the equation of the tangent line to the graph f(x) = cos(x) + x at the point (0, 1).

A: As we know that, The slope of the tangent line to the given curve is equal to the derivative of the…

Q: Evaluate the surface integral SS √x² + y² + z² dS over the portion of the cone z = √x² + y² below…

A:

Q: In an effort to make room for new inventory, a college bookstore runs a sale on its least popular…

A: NOTE: Refresh your page if you can't see any equations. . the sales rate is  whee t=number of days…

Q: Let be an acute angle. 21 a) Given: sine 295 b) Given: cose = √√5 c) Given: sine =- 3' √√3 9 2…

A: To find other trignometric values.

Q: iven the sequence an (n+1), what is a100?

A: Given query is to find indicated term.

Q: f(sin (6x))³ dx

A: According to our guidelines, we can answer only one question or the first three subparts of a…

Q: 5. You are a professional race car driver and your car is moving on a straight track at a velocity…

A:

Q: using Part 2 of the Fundamental Theorem of Calculus. 4x de festa 28 Ar d de 8 In (t)dt = Enclose…

A:

Q: Evaluate the definite integral. */3 π/6 csc(t) cot(t) dt

A:

Q: 2013, the average surface temperature of the earth was 58 degrees Fahrenheit.  According to one…

A:

Q: Problem 5. series: xn (a) n! iM8 IM8 (b) n=0 n=1 @ (x − 3) n - n Compute the radius and interval of…

A:

Q: To find the absolute max and min of f on [a,b], we compare the values of f' at the critical numbers…

A: Please see the below answer.

Q: Rewrite the expression without using the absolute value symbol, and simplify the result. |12 + x| if…

A:

Q: This question summarizes a few simple facts about polynomials. Recall that a polynomial p can be…

A:

Q: 5 Given sine = and cose: 13 1+ 5 13 5 13 5 13 12 5 0₁4 (3) (4) 1+ 13 13 12 13 12 12 13 13 = 1 =1 12…

A:

Q: In the related rates problems, what variable are we differentiating each function with respect to? O…

A:

Q: Enter any local extrema as an ordered pair, and separate multiple an Selecting a radio button will…

A:

Q: Find the area of the region in the plane enclosed by the cardioid r = = 3(1-sin0)

A:

Q: (a) Vertical asymptote at x = 1 (b) Horizontal asymptote at y = -2 (c) z-intercepts (0,0) and (3,0)…

A: Please see the below picture for detailed solution.

Q: An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each…

A:

Q: Calculate ff f(x, y, z) dS For Part of the surface x Js f(x, y, z) ds = S - z³, where 0 ≤ x, y ≤…

A:

Q: Given the series: k Σ³ (²) 3 k=0 does this series converge or diverge? converges O diverges If the…

A: Series converges... Sum of series = 5 For detail...go through the solution...I have solved in detail

Q: Step 4 We have a general solution to our differential equation: y = ₂0.08t + C - 25,000. To find the…

A:

Q: Given the function g(x) = 8x³ + 12x² derivative, g'(x). g'(x) = Notice that g'(x) is, g'(- 4) = 0. =…

A:

Q: Evaluate fff f(x, y, z) dV for the function f and region W specified: SSSw(12(x + y)) dv f(x, y, z)…

A:

Q: Change the order of integration. 0 f(x, y) dy dx

A:

Q: 6. S + √√ ₁ + 1 - 0 x² X 1 + dx, u = 1 + 1 X

A:

Q: ent value (exact value) dollars

A:

Q: If f(x) is a linear function, f(-5) = -3, and f(1) = -4, find an equation for f(x) For the toolbar,…

A:

Q: Find the equation for the parabola that has its focus at the (- 5 4 For the toolbar, press ALT+F10…

A: We have to find equation of parabola by focus and directrix.

Q: Find the particular solution for the differential equation Choose the correct answer below. OA.…

A: We have to find the particular solution for the differential equation.

Q: Important: Show ALL your work.. Note: Restrictions for y = cos ¹(x) D: [-1,1] and R: [0, π]; y =…

A: Let's find inverse function of given trigonometric function.

Q: If a cup of coffee has temperature 92°C in a room where the ambient air temperature is 23°C, then,…

A: This question can be solved using the concept of average value of a function in a given interval.

Q: Given sine= and cose=15, which of the following can be proven using a Pythagorean identity? 17 8 1+…

A: we know that   sin(θ)=perpendicularhypotenusecos(θ)=basehypotenusegiven  sin(θ)=817 and cos(θ)=1517…

Q: 3 If f(x) = (5x + 5)-³, find f'(x). f'(x) = Find f'(1). Enter the exact value as an expression.…

A:

Q: Consider the function f(x) = 6√√x + 1 on the interval [2, 9]. Find the average or mean slope of the…

A:

Q: 15. Evaluate the definite integral (xe*²+1) dx (Hint: u-substitution method)

A:

Q: No, because the difference between them is r 4. Given the sequence an (n+1), what is a 100

A:

Q: Determine an equation for the plane that's tangent to the surface z = 6x2 + 7y2 at point (-3, -2,…

A: