URx) 2*, If f(x)=2 e, find f'(1).

Q: Find the gradient of the tangent to S(t): = 5t +7 +2 at the point where t = −1.

A: The objective of this question is to find the gradient of the tangent to the function S(t) = 5t + 7…

Q: Set up iterated integrals for both orders of integration. Then evaluate the double integral using…

A: Double integral of (y) over region D , where D is bounded by  y=x-30, x= y2

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves abo the…

A: The objective of this problem is to find the volume of the solid obtained by rotating the region…

Q: Each of the graphs below is of a polynomial. The windows are large enough to show end behavior. (I)…

A: (a) The minimum degree of polynomials are:(I)→3(II)→4(III)→4(IV)→5(V)→5 (b) The leading coefficient…

Q: Find the center of mass of the lamina if the density at any point is proportional to its distance…

A: The center of mass of the lamina is (xcm​,ycm​)=(0,2.4)Explanation:Step 1: The boundary conditions…

Q: Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). √ √ 9 ( 1…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A: ∫(12t3−72t−3)dt=3t4+36t−2+CThis is the required answer.Explanation:Step…

Q: Using the least number of integrals, set up the iterated integral that would determine the volume of…

A: Please refer to the explanation below. If you need any clarification, please message me immediately…

Q: Question 8 11a. At the end of summer Sally empties her pool. The depth of the water in the pool, h…

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Q: Use the equation of the tangent to y = √ at the point x = 4 to find an estimate for √5. Express your…

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: Given vector v = 6 + 57; which of the following is a vector that is orthogonal to v? O-10+12 101…

A: The given vector  is orthogonal to the vector:−10i+12j​Explanation:

Q: x1 x2 x3 x4 x5 x6 (Note that this is a graph of f', not a graph of f.) At which of the marked values…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Thank you. Please answer parts C and D!

A: Provided all sub parts with C) and D) also.Explanation:Step 1:Step 2:Step 3:Step 4:

Q: Which set of inequalities describes the shaded region in the following graph? 2.5 2 1.5 0.5 (0, 3)…

A:

Q: 7 Estimate I = 3 (2 + 3) dr using n = 4 subintervals and (a) Left endpoints. I ≈ (b) Right…

A: (a) I ≈ 13.9 (b) I ≈ 22.63Explanation:To estimate the integral ∫37​( 2/x + 3 )dx using n=4…

Q: Find the Taylor polynomials of degree 3 approximating the function √25-3x for x near 0. P3(x) =

A:

Q: Find a function whose graph is a parabola with vertex (3,-5) and that passes through the point (4,…

A: Parabola has the vertex (3,-5) and passes through the point (4,-2).

Q: n (α) Σ λε

A:

Q: A lamina with constant density p(x, y) = 2p occupies the given region. Find the moments of inertia…

A: Given:A lamina with constant density  occupies the given region. the triangle with vertices (0, 0),…

Q: Find the gradient of the tangent to S(t): = 5t +7 +2 at the point where t = −1.

A: The objective of the question is to find the gradient of the tangent to the function S(t) = 5t + 7 +…

Q: All answers Thank you

A: Solution are fully explained in below steps Explanation:

Q: Find the function's absolute maximum and minimum values and say where they are assumed. f(x)=x 8 3…

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Q: Explain how to solve this question in steps.

A: Option A is correct.  8Explanation:

Q: Find the exact value of the expressions cos(a + ẞ), sin(a+ẞ) and tan(a + ẞ) under the following…

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Q: 4. Consider t²y"-3ty' +4y=t² Int. Given that y₁ =1², y₂ =1² Int form a fundamental set of solutions…

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Q: (BC Topic) A curve C is described by the parametric equations 31-6 x(t)=3-2t² and y(t)=4e³ . Which…

A:

Q: Given that y = mx - 8 is a tangent with a positive slope, to the function f(x) = x²-6x + 8, find the…

A: The objective of the question is to find the slope 'm' of the tangent line to the function f(x) =…

Q: Please answer parts a-c!

A: answer are given belowExplanation: Step 1: Step 2: Step 3: Step 4:

Q: - off 12y² – 12x dA where D = {(x, y) |0 ≤ x ≤ 4, (x − 2)² ≤ y ≤ 6} = Evaluate D

A: As  per our guidelines we can answer only 1 question so kindly repost the remaining question. here i…

Q: Find an equation of the tangent line to the curve at the given point. y = y = In(x² - 4x + 1), (4,0)

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Q: Let y=sin(4x). If Δx=0.4 at x=0, Find the percentage errorerror =  %

A: The objective of this question is to find the percentage error in the value of y = sin(4x) when Δx =…

Q: Find all possible functions with the given derivative. y=-4- y=

A:

Q: Estimate I = S 5 ⚫32 I ≈ (3x+6x2)dx using midpoints and n = 3 subintervals.

A: ​∫532​(6x2+3x)dx≈65691​Explanation:Step 1:​The midpoint rule is given…

Q: Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x²…

A: Given Data :Two curves are given as,.Required :We have to find tangent line for the intersection of…

Q: Given that vectors = (3,5) and = (x, 1) are orthogonal; find the value of x. 05 56 53 O O

A:

Q: For this series, decide whether it converges absolutely, converges conditionally or diverge. Justify…

A: given series converges (conditionally)  by alternating series test Explanation:Step 1:Step 2: Step…

Q: Let A be a set with 5 elements. If replacement is not allowed, find the number of a. 3-permutations…

A: Let A be a set with 5 elements. If replacement is not allowed, to find the number of (a)…

Q: A calculator may not be used on the following questions. A particle moves in the xy-plane for values…

A: The value of t is 1.5, 2.5 and 3.5 only. Option a. is correct.Explanation:Steps and explanations are…

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: Please see the explanation Explanation:Step 1:

Q: Find the open intervals where f (k) is concave up and where it is concave down. Enter the intervals…

A: Therefore, the required answers are concave down intervals: (−∞,−33​​)U(33​​,∞)concave up intervals:…

Q: Use complex numbers

A: Final answer:The expression 81a2+5b2 factors into (9a+5​bi)(9a−5​bi).Explanation:Step 1:To factor…

Q: Evaluate D 1022/3-6 dA where D is the region bounded by a = -23² and a = = y³.

A: To evaluate  where D is the region bounded by .Note: Since you have posted multiple questions, we…

Q: Given that y = mx - 8 is a tangent with a positive slope, to the function f(x) = x²-6x + 8, find the…

A: The objective of the question is to find the slope 'm' of the tangent line to the function f(x) =…

Q: Find the vector given that its magnitude is 10 and it makes an angle Ov=-51+5√√3 0 = 51 +5√3…

A: The objective of this question is to find the vector given its magnitude and the angle it makes with…

Q: Write the following expression as the sine, cosine, or tangent of a double angle. Then find the…

A: A. 2sin(22.5∘)cos(22.5∘) = sin(45∘) The exact value of the given expression is 22​​.Explanation:To…

Q: Find Düg(1, −1) where g(x, y) = e−(x²+y²) and u is the unit vector parallel to .

A: To find  is the unit vector parallel to .

Q: Let R be the region in the first quadrant bounded by the graphs of y= 4 cos ()andy = (x-2)², as…

A:

Q: 7

A: The objective of this problem is to find the volume of the solid obtained by rotating the region…

Q: Question 2 please!

A: Dear student, kindly find below the answer to question 2 of your math assignment:Part 1: Answer:(a)…