Find f such that the given conditions are satisfied. 17) f(x) = 5x2 - 7x + 4, f(0) = 2 A) f(x) =x3 -x?+4x – 2 3,Z,2+4x +2 %3D C) fx) = x3 -x2+ 4x -4 D) fx) = 3 -2+4x +2

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: :Find dy/dx of the following functions: x²e? y = log2 (2Vx+1, (x-2)*V +3 Vr +4

A: Derivative Please reupload 2nd question according to bartleby guidelines

Q: 3600 The function s(x) = = 3600(60 +x)' gives a person's average speed in miles per hour if he or…

A:

Q: Current Attempt in Progress Express the iterated integral as an equivalent integr with the order of…

A: we have to change the order of integration.

Q: Question 15 1-sine Evaluate the iterated integrals J. J. p2 cose dr de̟ A 1 В) 2

A: ddθ(sinθ)=cosθ ∫rndr=rn+1n+1, for any real number n.

Q: Evaluate the iterated integral. SS 5x= dy dz dz = 0 0 0

A: Integration is evaluated by integrating first y then x then z.

Q: Evaluate the double integral f(r, 0) dA. -7 cos(0) r dr de 497 2 Sketch the region R. 7/2 A/2 6 2 4…

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 6 1 lim t→+o \ 8t2+9' 6t (?, ?)

A:

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: x* – 1 f. lim x-1 x In x sin 3x g. lim x-0

A: (f). Given: limx→1xx-1xlnx   As we know that; The Chain rule: fgx'=f'gx·g'x

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. da dz dy = y -54 J-36 %3D

A:

Q: 20. Find the area of the region bounded by the curver=8 cos 20. С. 12л A. 16π В. 32л D. 8t

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Determine the volume of the solid obtained by rotating the region bounded by y=x^2-2 and y=x about…

A:

Q: Question 16 Use double integration to find the volume of the solid bounded by the paraboloid z = 9x…

A:

Q: Consider a field with V = 8a²y² î + 4y²j + –5y² z³k a) Find the divergence of V: V•V: b) Find the…

A:

Q: aluate the iterated integral. || 5x²sin(y) dy dz dx =

A: Given: ∫0π∫05x∫0xz5x2sinydydzdx

Q: Use The Formula К(T) = ||R' (T) × R"(T)|| ||R'(T)|

A:

Q: Find the distance between the parallel planes – 2x + y + z = 0 and 6х — Зу — 3г — 10 — 0. - - %3D -…

A:

Q: bounded by the graphs of the equat y

A:

Q: Verify Divergence by evaluating F.N ds as a surface integral and as a triple integral. F(x, y, z) =…

A:

Q: Evaluate the double integral over the rectangular region R. | 8xy'dA; R = {(x, y): -1<xs 1, - 8 syS…

A:

Q: r = V cos 20 r = 5 cos 0

A:

Q: 324-y' y dx dy 18

A:

Q: Find the approximate area under the curve of f (x) = x< +1 from x = 0 to x = 2, using 4…

A:

Q: Consider the following planes. 3x + 4y – z - 56 x - 8y + 2z = 0 (a) Find the angle between the two…

A: Find the angle between the two planes..

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 6…

A: A detailed solution is given below.

Q: Current Attempt in Progress Sketch the curve by eliminating the parameter, and indicate the…

A:

Q: Question 11 Find the approximate area under the curve of f (x) =cos from x = 0 to x = Tt, using 4…

A: We have to find it from Trapezoidal rule.

Q: The graphs of the function f (r) =7 – 2? and g(æ) = 3 are given below. %3D 10 f(x) = 7-x2 4- g(x) =…

A:

Q: Find the approximate area under the curve of f (x) =x+1 from x = 0 to x = 2, using 4 left-endpoint…

A:

Q: Evaluate the iterated integral. 6 7 8 /// (x² + y² + z²) dxdydz -6 0 0 6 7 8 (x² + y² + z?)dxdydz i…

A:

Q: Find the volume V of the described solid S. A right circular cone with height 3h and base radius 4r…

A: Solving the problem by finding the volume of the cone.

Q: Using the method of cylindrical shells, set up but do not evaluate an integral for the volume of the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy -180 J-120

A:

Q: d d Calculate r:(t) · r2(t)] and r:(t) × r2(t)] first by differentiating dt dt the product directly…

A: r1(t)=cos(t)i+sin(t)j+3t kr2(t)=2 i+t k

Q: Find the length of the curve, L. y? = 64 (r+ 5)* , 0 0

A: To evaluate the length of the given curve.

Q: Consider the contour represented in the following figure. The points marked on the figure are A(5,…

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A: We need to evaluate integral using Green's theorem.

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. O 4…

A:

Q: = -8i+ (1 – tj+tk O It is a parabola in the plane x = -8, with vertex at (-8, 1, 0), opening to the…

A:

Q: The time of oscillation, 1, of a pen- dulum is given by t 27 1. wherel is the length %3D of the…

A: Write this equation in standard form then diffrenciate.

Q: y=x*(1-x)ª 4-4x 4+4x

A: Use the chain rule of differentiation.

Q: Find the Laplace transform of: f (t) = v1+ sin t + (7t)14 + t² sin 2t

A:

Q: The integrand of the definite integral is a difference of two functions. Sketch the graph of each…

A:

Q: Use a double integral to find the volume under the plane  z=32x+yz=32x+y and over the rectangle…

A:

Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y, z) =…

A:

Q: Express the area of the given surface as an iterated double integral, and then find the surface…

A:

Q: Find the arc length in the second quadrant of the curve x23 + y23 2/3 = 9 from x = - 27 to x = – 1.…

A:

Q: Find the volume of the solid that results when the shaded region is 8 revolved about the indicated…

A: Volume of revolution

Q: given point. Function Point f(x, y, z) = V x2 + y2 + z² (10, 3, 9) %3D Vf(10, 3, 9) = Find the…

A: