Find the area of the region bounded by the graphs of f(x)=x^3-x^2+10x and g(x)=-x^2+26x

Q: Find an equation for the tangent plane to z = f(x, y) at (3,-2) if the differential at (3,-2) is df…

A:

Q: If what does the following integral equal? 1 d(v)dv= 8 - d(v)dv = 20 and 8 [*d(v)dv = 6.8 7

A: To evaluate the given definite integral.

Q: Sketch the area bounded by x^2 + 2y = 4 and x + y + 2 = 0 on the image below and determine the…

A: volume of above function is π×175.19 cube unit

Q: Date 3. Determine if the equation is homogeneous in what degree then solve for the general /…

A: Solution

Q: The area of the surface formed by revolving the curve x = 2√1-y in the interval 0 ≤ y ≤ 1 about the…

A:

Q: The slope of the tangent line to √x+y+√√xy = 2y at the point (2,2) is:

A:

Q: Given R = = [² (³ + + ²) - (² + 4)] i n n a= So integral, that is provide a, b and f(x) in the…

A:

Q: Use the graph of y=f(z) for problems 7 and 8. Use the plot above to determine lim f(x) and lim f(x).…

A:

Q: 1 cos³x -dx =

A: The given integral is 1/Cos3x.

Q: Determine whether the series converges or diverges. ∞ 7" 5 + 12" n = 1 The series converges by the…

A:

Q: This exercise uses the population growth model. It is observed that a certain bacteria culture has a…

A:

Q: Given the functions f(x)=√x² + 49 and g(x) = x4 fog would be equal to? O√x +49 O√x¹ +49 Ogof (x²…

A: The given functions are fx=x2+49 and gx=x4

Q: Consider the function f(t) = 6 sec²(t) - 6t³. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: The given function is: ft=6sec2t-6t3   As we know that; The expression for the antiderivative:…

Q: 5. Prove the identity: cot(A + B) cot(A - B) = cot² B - tan² A tan² A cot² B-1

A: We have to prove the identity

Q: Evaluate the definite integral: 0.8 4ze-2%dz = -0.2

A:

Q: Differentiate y O 1 4x +2 = x(x-1) (2x²(x + 1)) 3(x-1)²(x²+2x+1) 8x² + x 2 2 O3(x-1)² (3x²-1) 8(x² +…

A:

Q: Given that z dz= } 0 form. No rounded decimal number! 200 128 and 01:14:35 } z3 dz= 4, evaluate the…

A:

Q: Evaluate d2y/dx2 at the point (0, -9). x = t3 - 3t y = 3t2 - 9

A: Given: x = t3 - 3t y = 3t2 - 9

Q: O

A:

Q: If evaluate f f(x) dx = 7 f(x) dx = 8 f2f (x) dr.

A: Topic = Integration

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

A:

Q: a. b. C. d. G++++ 3 +++++:+). 3

A:

Q: Suppose that h(x) = f(x) g(x) and that we know the following f'(3) = -1, g(3) = 2, & g'(3) = -5.…

A: Topic:- calculus

Q: If the odds in favor of E occurring are 2: 7, then find P(E) and P(E'). P(E)= (Type an integer or a…

A: If the odds in favor of E occurring are 2:7, then to find PE and PE'.

Q: I. Find the solution set of the following. 1. 2e²x - 3e + 1 = 0 H

A: Given the equation 2e2x - 3ex + 1 = 0 Rewrite it as 2(ex)2 - 3(ex) + 1 = 0 Let ex = y then the…

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

A:

Q: Find the y-intercept of a quadratic function containing the following points: (2,5), (1,0), and (-2,…

A: Topic:- function

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: Determine the equation of the normal line to f(x) = x³3.5¯³x at x = -1.

A:

Q: 1 cot³ x dx =

A: To solve the given integral.

Q: 5. S (2x²+1) x3-3x+2 dx

A: Here we have to find the integral.

Q: What is the equation of a line that is parallel to y = -4x + 2 and goes through the point (-4, 9)? y…

A:

Q: Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both…

A:

Q: Given the function graphed below, evaluate the definite integrals. -1 4 3 2 1 1 -1 -2 -3 -4+ […

A:

Q: Which of these equations represents a line that is perpendicular to the line in the graph below?

A: Two lines are perpendicular if the product of their slopes is equal to -1

Q: Given f''(x) = ¹ƒ(7) Find f [ 16 sin(4x) and f'(0) = 0 and f(0) = 1.

A:

Q: √1-(In x)2

A: ∫1-lnx2xlnxdx Let 1-lnx2=y

Q: let cosx=-4/5, pi<2<3pi/2. find csc(x/2).

A: Solved below

Q: I Sketch the area bounded by x² + 2y = 4 and x+y+2=0 and determine: d) area using horizontal strip…

A: Solution is given below:

Q: Express the limit lim n→∞ a = n b = i=1 Provide a, b and f(x) in the expression (6 cos² (2πx)+5) Ax;…

A: To find value of a, b and f(x).

Q: Consider the two-dimensional vectors a and b. a = (3,-1), b = (-5, 0). (a) Find the measure of the…

A:

Q: Find 뿐 for the ry – ln(xy) = 1 0 뽈 ㅇ-볼 O 래 ㅇ-픕 following:

A: The given expression is xy-lnxy=1 we have to find dydx use the derivative formulas, ddxx=1…

Q: 5. Given that f(t) = sint, t=0, t≥π/2 0≤t<π/2 find L{f(t)}.

A:

Q: A parking garage bases its prices on the number of hours that a vehicle parks in the garage. 14 13…

A: Here we will find the pricing scheme ,

Q: The table shows various values of a linear function f(x). X-40250 -4 0 2 5 9 10 f(x) -11 1 7 16 28…

A:

Q: 1. ſ (x-1)dx x2+5x+6

A: The given integration is ∫(x-1)x2+5x+6 dx  We have to find the integration for the given integral

Q: A particle is moving with acceleration a(t) = 6t+ 6. its position at time t = 0 is s(0) = 11 and its…

A: GIven: a(t)=6t+6 s(0)=11 v(0)=9   We know that, the integral of acceleration with respect to time…

Q: True/False: Answer a) for True, b) for false and mark on the scantron. 24. The following is a…

A:

Q: -3x²+tan(3x-5) Explain the steps you would take to find the derivative of f(x) = (e

A: Our Aim is to find the derivative of f(x)=12e-3x2+tan3x-5 -(i)

Q: The graph of y = sin x is just the graph of y = cos x shifted the right. unit (s) to

A: Topic:- trigonometry