The measurements of the base and altitude of a triangle are found to be 32 and 56 centimeters, respectively. The possible error in each measurement is 0.25 centimeter. Use differentials to approximate the possible propagated error in computing the area of the triangle. (Round your answer to two decimal places.)

Q: Perform the indicated operation and write the answer in the form of a +bi. (3+)-(4-5) O -1+6/ O 1+6i…

A: (3+i)-(4-5i)

Q: If f'(x) = 2x O x² - In(x) O x² + 1 x² - In(1x1) O x² and f(-1) = 1, find f(x). In(x) + 1

A: Here we have a derivative f'(x). Need to integrate the derivative to find the function.

Q: 17. Write as the natural log of a single expression: a. 2ln 5 + 3 ln 4 b. 5ln (x¹/2) + ln (9x)

A:

Q: -6x + y Find Sn₁² -dA, where R is the parallelogram enclosed by the lines -2x + 6y R -6x + y = 0,…

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Q: �=-1cos-π6=-cos2π how did you get the cos2π

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Q: What are the excluded values from the domain of the following rational function? x³ - 27 2 8x(x²…

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Q: 88. S x² dx .3 x³ + 2

A:

Q: The figure below shows f.  If F′=f and F(0)=0, find F(b) for b=1, 2, 3, 4, 5, 6, and fill these…

A: The graph of f is  And, F'=fF0=0 It is known that, ∫abfdx=Fb-Fa ∫abfdx=Area under the graph of f…

Q: (В y (62 - (52²-2³)) dz [² (62 − (52² − 2³)) dz + S* ((52² − z³) − 6x) dz 15+ 10+ 5 10 1 2 3 The…

A: Given data

Q: 5√6x 4. Use a substitution to change f dx into an integral that can be found in the table of…

A:

Q: 49. log (sin t) 3

A:

Q: 5x 12x³ - 3 (a) The most appropriate substitution is u = Consider the indefinite integral dx.…

A: I=∫5x212x3-3dx

Q: For the function from the image attachment. Find the zero point, asymptotes, global/local extrema,…

A: We have to sketch the graph of f(x).

Q: Find an orthogonal matrix A where the first row is a multiple of (0, -3, 1).

A: Find an orthogonal matrix A where the first row is a multiple of 0,-3,1

Q: 2/ Find the area bounded by the two curves y = x³ and y=x

A: y=x3 and y=x

Q: For what value of x does the function g(x) A. x> 1 ں نے C. x≤ 2 == 3x³ + 2x² convex? B. x < 2 D. x…

A: gx=-13x3+2x2

Q: X Je* tan-¹ (e^x) dx е

A:

Q: BACTERIAL POPULATION is estimated to have a population of 241 + 10 1² + 1 P(t) = 2 A bacterial…

A: so given population is    P(t)=24t+10t2+1   Now to get rate of change in population we will…

Q: Evaluate c (xy + y +z) ds along the curve r(t) = 2ti + tj + (9 − 2t)k, 0 ≤t≤ 1. Sc (xy + y +z) ds =…

A:

Q: Find the average value of the function f(x)=x²-13 on [0,√√26]. The average value of the function…

A: Given: f(x)=x2-13 We are required to find: Average value of the function on 0,26

Q: represents the rate of growth of the size of a tumor in cm3/day, and t is the number of days from…

A: Given that f(t) gives the rate of growth of tumor. Which is 3 cm^3/day.

Q: 1. Evaluate x-1 (x+5) (x+3) dx. Show all steps of partial fraction decomposition.

A:

Q: Use an appropriate coordinate system to find the volume of the given solid. The region inside z =…

A: The region z=5x2+5y2 and between z=4 and z=12

Q: 3. [FTC3.12] Suppose f(x) dx = −9, -9, 8(x) dx = 5, and [ f(x) dx = 3. (8f(x) + 2g(x)) dx. Show all…

A: Suppose ∫-54 fx dx=-9, ∫14gx dx=5, and ∫-51 fx dx=3. To find the value of ∫148fx+2gx dx.

Q: 1 x+R+ 2)²(x+ x+ R+ 4) dx (Hint: Let u= x+R+2 x+R+4

A: ∫1x+R+22x+R+42dx

Q: Evaluate the integral.

A:

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = 4x + 6y - x² - y² + 8, D =…

A:

Q: You can use any software to draw the graphs asked below. For each problem, sketch the curves of the…

A: Note:-As per the company's guidelines, we are supposed to solve the first question for you, kindly…

Q: n - 3 [(-1)″ (x = ³)" 4 n=1

A:

Q: Stan 5x sec ³x dx

A:

Q: What is the maximum vertical distance between the line y = x + 6 and the parabola y = x2 for -2 ≤ x…

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Q: The expression 423-55 simplifies to 4x²-25 True 1 2x+5 1 where x = 55 2'Z False

A:

Q: Find the solution to the following differential equation x²y" + 2xy' - 12y = 0 What is the form of…

A: x2y''+2xy'-12y=0

Q: Three regions are defined in the figure. C (0,2 O X y R₂ /y = 2√√x R3 y=2x R₁ B (1, 2) A (1,0) X i…

A:

Q: -2x f(x) = = ²* sin(t²)dt.

A: Given that function f(x)=∫02xsint2dtThe slope of the graph of the function f(x) is f'(x)

Q: 44 40 36 32 28 24 20 16 12 8 4 -4 $p (price) in thousands 1 2 I 4 1 6 E 8 10 I 12 14 Supply Demand I…

A: The solution is shown in step-2

Q: (a) n(AUB) (b) n(ANB) (c) n(B')

A: We have to use the concept of Venn diagram of sets theory

Q: Determine el siguie cos(x) - e* 1-e* lim X-0

A: The given limit is limx→0cosx-ex1-ex. We have to find this limit.

Q: Find the volume of the solid bounded below by the circular paraboloid z = x² + y² and above by the…

A:

Q: The function f is defined for all x by, 3 f(x) = x³ 3x – 1 - - - Find all maximum or minimum points.…

A:

Q: Step 1: Solve each equation for its independent variable and match it to its corresponding graph.…

A: Equation of parabola x-52=-16y+4

Q: Find dy for the given values of x and Ax. 3x - 5 X+1 y = ; x = 3, Ax= -0.07 SHOE AAN www

A:

Q: A cylindrical can is to be constructed to hold 600 cubic centimeters of soup. The material for the…

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

Q: Let f = (x²-3)(u(x-7) - u(x-10)), where u is the Heaviside function. Compute f(-8)= f(7) = f(9) =…

A: Given: f(x)=(x2-3)u(x-7)-u(x-10)whereu is the Heaviside function. We are required to find:…

Q: Find the curl of the vector field F = (2y cos(x), 4x sin(y)) curl F= =

A: F¯=&lt;2ycos(x),4xsin(y)&gt;

Q: Consider the integral ¹ [ cot(0) · In(4 sin(0)) dº: This can be transformed into a basic integral by…

A:

Q: 4) Given the graph (please see the picture below) answer the following questions. B E a) Is the…

A: **As per our guidelines, we are supposed to answer only one question with a maximum of three…

Q: ди ди. Use the Chain Rule to find and др Ət = x2 +yz, и = x = r sint, = r cost y=

A: By using chain rule to find ∂u∂r and ∂u∂t. u=x2+yz, x=r sin t, y=r cos t

Q: x n=1 In n n

A:

Q: can i have question d. solution?

A: